An interesting connection is found between the coupled-reaction-channel (CRC) approach and the triad of Lippmann-Schwinger (LS) equations for the three-particle scattering state. It turns out that the CRC decomposition ansatz can be used as a vehicle to couple the three uncoupled LS equations. The p…

[Phys. Rev. C 110, 054002] Published Thu Nov 07, 2024

]]>We discuss renormalization of chiral nuclear forces in the ${}^{3}P_{0}$ channel of $NN$ scattering at next-to-next-to leading order (${\mathrm{N}}^{2}\mathrm{LO}$) if the one-pion exchange is treated nonperturbatively at leading order. The matrix elements of the subleading contact potentials become nearly dependent for the so-called e…

[Phys. Rev. C 110, 054001] Published Tue Nov 05, 2024

]]>We study the leading radiative correction to proton-proton fusion using the pionless effective field theory framework at leading order. We derive the relevant matrix elements and evaluate them using the method of regions. We benchmark the accuracy of our approximations by carrying out numerical comp…

[Phys. Rev. C 110, L041001] Published Mon Oct 21, 2024

]]>Faddeev calculations of low-energy $\mathrm{\Lambda}$-deuteron elastic scattering are performed up to ${E}_{cm}=20$ MeV crossing the deuteron threshold. The phase shifts of the $s$ wave with $J=1/2$ and $J=3/2$ are calculated using strangeness $S=-1$ hyperon-nucleon interactions in chiral effective field theory NLO13 and NLO19 par…

[Phys. Rev. C 110, 044005] Published Fri Oct 18, 2024

]]>We test the BUQEYE model of correlated effective field theory (EFT) truncation errors on Reinert, Krebs, and Epelbaum's semilocal momentum-space implementation of the chiral EFT ($\chi \mathrm{EFT}$) expansion of the nucleon-nucleon (NN) potential. This Bayesian model hypothesizes that dimensionless coefficient fu…

[Phys. Rev. C 110, 044002] Published Wed Oct 16, 2024

]]>Low-energy nuclear interactions have been extensively studied in the framework of chiral effective field theory. The corresponding potentials have been worked out using dimensional regularization to evaluate ultraviolet divergent loop integrals. An additional cutoff is then introduced in the nuclear…

[Phys. Rev. C 110, 044003] Published Wed Oct 16, 2024

]]>Low-energy nuclear structure and reactions can be described in a systematically improvable way using the framework of chiral effective field theory. This requires solving the quantum mechanical many-body problem with regularized nuclear forces and current operators, derived from the most general eff…

[Phys. Rev. C 110, 044004] Published Wed Oct 16, 2024

]]>Historically, studied in the context of heavy-ion collisions, the extent to which free nucleon-nucleon cross sections are modified in-medium remains undetermined by these data sets. Therefore, we investigate the impact of $NN$ in-medium modifications on neutrino-nucleus cross section predictions using…

[Phys. Rev. C 110, 044001] Published Thu Oct 10, 2024

]]>The nature of dark matter is one of the outstanding problems in particle physics and cosmology. To assist in the search for dark matter (DM), the authors examine the most general interactions between weakly interacting massive particles (WIMPs), assumed to be spin-1/2 fermions, and isotopes of the lightest nuclei, hydrogen and helium, using chiral effective field theory for a wide range of masses and coupling constants. The authors conclude that the scalar nuclear response functions are much greater than the others and severely constrained by the existing limits provided by experiments. The present study could be extended to other possible types of DM interactions, lighter DM candidates or heavier nuclei, such as lithium, argon, and xenon, currently widely used in dark matter detectors.

[Phys. Rev. C 110, 034002] Published Fri Sep 06, 2024

]]>**Background:** Emission of bremsstrahlung photons in the scattering of protons off deuterons is investigated on the microscopic cluster basis in a wide region of beam energy from low energies up to 1.5 GeV.

**Purpose:** Our aim is to construct a model extracting new information about the structure of the d…

[Phys. Rev. C 110, 034001] Published Wed Sep 04, 2024

]]>We propose a simplified approach to incorporate the long-range proton-proton ($pp$) Coulomb force in three-nucleon (3N) scattering calculations, based on the exact formulation presented by Witała, Skibiński, Golak, and Glöckle [Eur. Phys. J. A **41**, 369 (2009) and Eur. Phys. J. A **41**, 385 (2009)]. It per…

[Phys. Rev. C 110, 024005] Published Fri Aug 30, 2024

]]>The Gamow-Teller and Fermi matrix elements, $\langle \mathbf{GT}\rangle $ and $\langle \mathbf{F}\rangle $, respectively, for tritium $\beta $ decay are calculated to next-to-leading order (NLO) in pionless effective field theory in the absence of Coulomb interactions and isospin violation giving the leading order predictions ${\langle \mathbf{GT}\rangle}_{0}=0.9807$ and ${\langle \mathbf{F}\rangle}_{0}=1$. Usin…

[Phys. Rev. C 110, L021001] Published Tue Aug 27, 2024

]]>Proton-deuteron elastic scattering is considered in the framework of momentum-space Faddeev equations with the screening method for the Coulomb interaction. It is shown how the interplay of the proton-proton Coulomb potential and the deuteron pole in the neutron-proton transition operator leads to c…

[Phys. Rev. C 110, 024004] Published Fri Aug 23, 2024

]]>In this work we introduce a worldline-based fermion Monte Carlo algorithm for studying few body quantum mechanics of self-interacting fermions in the Hamiltonian lattice formulation. Our motivation to construct the method comes from our interest in studying renormalization of chiral nuclear effectiv…

[Phys. Rev. C 110, 024002] Published Wed Aug 14, 2024

]]>We calculate neutron-neutron relative-energy distributions of $s$-wave two-neutron ($2n$) halo nuclei using halo effective field theory (halo EFT) at leading order. At this order these systems are described by the $2n$ separation energy, the neutron-core ($nc$) virtual-state energy, and the neutron-neutron …

[Phys. Rev. C 110, 024003] Published Wed Aug 14, 2024

]]>A simple analytic expression of the three-body wave function describing the system $\left(\alpha \alpha n\right)$ in the ground state ${\frac{3}{2}}^{-}$ of ${}^{9}\mathrm{Be}$ is obtained. In doing this, it is assumed that the $\alpha $ particles interact with each other via the $S$-wave Ali-Bodmer potential including the Coulomb term, and the neutron-$\alpha $ forces act…

[Phys. Rev. C 110, 024001] Published Mon Aug 05, 2024

]]>The SS-HORSE–NCSM method is generalized to the case of democratic decay into an odd number of fragments. This method is applied to the search for resonances in three-neutron system (trineutron) using *ab initio* no-core shell model calculations with realistic nucleon-nucleon ($NN$) potentials. The $3/{2}^{-}$ …

[Phys. Rev. C 110, 014004] Published Tue Jul 23, 2024

]]>We discuss two approaches which, by applying the screening method, permit one to include the long range proton-proton ($pp$) Coulomb force in proton-deuteron ($pd$) momentum-space scattering calculations. In the first one, based on the Alt-Grassberger-Sandhas (AGS) equation, presented in Phys. Rev. C **71**…

[Phys. Rev. C 110, 014003] Published Mon Jul 22, 2024

]]>We conducted measurements of ${K}^{-}+{}^{3}\mathrm{He}\to \pi YN+{N}^{\prime}$ reactions using a $1\phantom{\rule{4pt}{0ex}}\mathrm{GeV}/c\phantom{\rule{4pt}{0ex}}{K}^{-}$-beam, with the objective of understanding the broad decay width of $\overline{K}NN$ (approximately twice as broad as that of $\mathrm{\Lambda}\left(1405\right)$ considered to be the $\overline{K}N$ quasibound state). We successfully reproduced distributions of the $\pi YN$ invariant mas…

[Phys. Rev. C 110, 014002] Published Fri Jul 12, 2024

]]>We examine the $\mathrm{\Lambda}-{}^{4}\mathrm{He}$ ($\alpha $) momentum correlation in high-energy collisions to elucidate the interaction between Lambdas ($\mathrm{\Lambda}$) and nucleons ($N$). We compare phenomenological $\mathrm{\Lambda}\alpha $ potentials with different strengths at short range. In addition to the conventional Gaussian-type potentials, we construct the $\mathrm{\Lambda}\alpha $ …

[Phys. Rev. C 110, 014001] Published Mon Jul 01, 2024

]]>A chiral effective field theory (EFT) description of the nuclear interaction contains a power counting to organize the order-by-order contributions of the strong-interaction dynamics to nuclear observables. The truncation of the EFT expansion at finite order induces errors in predicted nucleon-nucleon scattering observables. These errors are correlated across scattering energies and angles, which robust uncertainty quantification needs to account for. This work reports a Bayesian analysis for neutron-proton scattering in a so-called $\mathrm{\Delta}$-full version of chiral EFT. The authors employ Gaussian processes to learn about the correlation structure of the truncation errors and find that the effective number of neutron-proton scattering data is reduced by approximately a factor of 4 due to the correlation structure of the EFT truncation error (shown in the figure for differential cross sections). The results are important for analyzing the predictive capabilities in $a\phantom{\rule{0}{0ex}}b$-$i\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}o$ nuclear theory.

[Phys. Rev. C 109, 064003] Published Tue Jun 18, 2024

]]>An accurate way to incorporate long-range Coulomb interaction alongside short-range nuclear interaction has been a challenge for theoretical physicists. In this paper, we propose a methodology based on the reference potential approach for constructing inverse potentials for charged particle scatteri…

[Phys. Rev. C 109, 064004] Published Tue Jun 18, 2024

]]>We calculate two-body scattering phase shifts on a quantum computer using a leading order short-range effective field theory Hamiltonian. The algorithm combines the variational quantum eigensolver and the quantum subspace expansion. As an example, we consider scattering in the deuteron ${}^{3}{S}_{1}$ partial w…

[Phys. Rev. C 109, L061001] Published Tue Jun 18, 2024

]]>A lepton-neutron potential in configuration space is obtained. It is based on the Coulomb plus hyperfine interaction Hamiltonian integrated over the neutron charge and magnetic densities. Different parametrizations of the neutron electromagnetic form factors are compared. It is given in the operator…

[Phys. Rev. C 109, 064002] Published Thu Jun 13, 2024

]]>We predict neutron-proton scattering cross sections and polarization observables up to next-to-next-to-next-to-leading order in a renormalization-group invariant description of the strong nucleon-nucleon interaction. Low-energy constants are calibrated to phase shifts, subleading corrections are com…

[Phys. Rev. C 109, 064001] Published Mon Jun 03, 2024

]]>A separable expansion of the two-particle free resolvent in terms of two-particle pseudostates is used to convert Alt-Grassberger-Sandhas (AGS) integral equations into a set of effective two-body equations in spectator degrees of freedom. The resulting effective two-body equations are much like the …

[Phys. Rev. C 109, 054004] Published Thu May 30, 2024

]]>The developed Faddeev three-body equations are solved to search for bound-state solutions of a phi-meson $\left(\varphi \right)$ and two-nucleon $\left(NN\right)$ system. We employed the newly published spin $3/2N\text{\u2212}\varphi $ potential based on $\left(2+1\right)$-flavor lattice QCD simulations near the physical point and the realistic $NN$ Malfliet-Tjon (M…

[Phys. Rev. C 109, 054002] Published Fri May 24, 2024

]]>I investigate whether it is possible to generate bound states from resonances or virtual states through first-order perturbation theory. Using contact-type potentials as those appeared in pionless effective field theory, I show that it is possible to obtain negative-energy states by sandwiching a ne…

[Phys. Rev. C 109, 054003] Published Fri May 24, 2024

]]>We study the relation between measured high-${x}_{B}$, high-${Q}^{2}$, helium-3 to tritium, $(e,{e}^{\prime})$ inclusive-scattering cross-section ratios and the relative abundance of high-momentum neutron-proton ($np$) and proton-proton ($pp$) short-range correlated nucleon pairs in three-body ($A=3$) nuclei. Analysis of these dat…

[Phys. Rev. C 109, 054001] Published Wed May 01, 2024

]]>We present new maximally local two-nucleon interactions derived in $\mathrm{\Delta}$-less chiral effective field theory up to next-to-next-to-next-to-leading order (${\mathrm{N}}^{3}\mathrm{LO}$), which include all contact and pion-exchange contributions to the nuclear Hamiltonian up to this order. Our interactions are fit to nucleon-nucle…

[Phys. Rev. C 109, 034005] Published Fri Mar 29, 2024

]]>A new theoretical analysis connects the results of high-energy particle experiments at the Large Hadron Collider with three-proton correlations inside nuclei.

[Phys. Rev. C 109, 034006] Published Fri Mar 29, 2024

]]>Neural networks have been proposed as efficient numerical wave function *Ansätze*, which can be used to variationally search a wide range of functional forms for ground-state solutions. These neural network methods are also advantageous in that more variational parameters and system degrees of freedom…

[Phys. Rev. C 109, 034004] Published Wed Mar 27, 2024

]]>In inertial confinement fusion implosions, tertiary reaction-in-flight processes create deuterium-tritium fusion reactions $\left[\mathrm{T}{(d,n)}^{4}\mathrm{He}\right]$ with an incident particle moving at MeV energies instead of the thermonuclear keV temperatures. Additional relativistic kinematic treatments were added to a nuclear …

[Phys. Rev. C 109, 034003] Published Mon Mar 11, 2024

]]>Nuclear entanglement is a flagship in the interdisciplinary direction of nuclear physics and quantum information science. Spin entanglement, a special kind of nuclear entanglement, is ubiquitous in nuclear structures and dynamics. Based on the idea of quantum state tomography, the problem of experim…

[Phys. Rev. C 109, 034001] Published Wed Mar 06, 2024

]]>A series of relativistic one-boson-exchange potentials for a two-nucleon system, denoted as $\mathrm{OBEP}\mathrm{\Lambda}$, is constructed with a momentum cutoff $\mathrm{\Lambda}$ ranging from $\infty $ to 2 ${\mathrm{fm}}^{-1}$. These potentials are developed by simultaneous fitting to nucleon-nucleon ($NN$) scattering phase shifts, low-energy scattering length, e…

[Phys. Rev. C 109, 034002] Published Wed Mar 06, 2024

]]>Faddeev calculations of hypertriton (${}_{\mathrm{\Lambda}}{}^{3}\mathrm{H}$) separation energy are carried out, incorporating all next-to-next-to-leading-order $\mathrm{\Lambda}NN$ three-body forces (3BFs) in chiral effective field theory: $2\pi $ exchange, $1\pi $ exchange, and contact interactions. The $1\pi $ exchange and contact interactions are rewritten in a …

[Phys. Rev. C 109, 024003] Published Thu Feb 29, 2024

]]>Four-body systems are studied using an effective-field theory with two- and three-body contact interactions. A method to systematically address deep trimers (three-body bound states that are more tightly bound than four-body bound or resonant states) in four-body calculations is developed using a di…

[Phys. Rev. C 109, 024002] Published Tue Feb 20, 2024

]]>Over the last decade, conflicting values of the hypertriton ${}_{\mathrm{\Lambda}}{}^{\phantom{\rule{0.28em}{0ex}}3}\mathrm{H}$ lifetime $\tau \left({}_{\mathrm{\Lambda}}{}^{\phantom{\rule{0.28em}{0ex}}3}\mathrm{H}\right)$ were extracted from relativistic heavy-ion (RHI) collision experiments, ranging from values compatible with the free-$\mathrm{\Lambda}$ lifetime ${\tau}_{\mathrm{\Lambda}}$—as expected naively for a very weakly bound $\mathrm{\Lambda}$ in ${}_{\mathrm{\Lambda}}{}^{\phantom{\rule{0.28em}{0ex}}3}\mathrm{H}$—to lifetimes as short as $\tau \left({}_{\mathrm{\Lambda}}{}^{\phantom{\rule{0.28em}{0ex}}3}\mathrm{H}\right)\approx (0.4\text{\u2026}$

[Phys. Rev. C 109, 024001] Published Tue Feb 06, 2024

]]>**Background:** Resonances with binary and few-body decay modes, such as the excited and ground states of neutron- and proton-rich nuclei, are important objects in nuclear physics. However, a description of three- and few-body states in the continuum and their decays, especially in case of the Coulomb i…

[Phys. Rev. C 109, 014002] Published Fri Jan 19, 2024

]]>We present measurements of polarized neutron birefringence in transmission through nuclear-polarized ${}^{129}\mathrm{Xe}$ and ${}^{131}\mathrm{Xe}$ gas and determine the neutron incoherent scattering lengths ${b}_{i}{(}^{129}\mathrm{Xe})=-0.186\pm {\left(0.021\right)}_{\mathrm{stat}.}\pm {\left(0.004\right)}_{\mathrm{syst}.}\phantom{\rule{4.pt}{0ex}}\text{fm}$ and ${b}_{i}{(}^{131}\mathrm{Xe})=2.09\pm {\left(0.29\right)}_{\mathrm{stat}.}\pm {\left(0.12\right)}_{\mathrm{syst}.}\phantom{\rule{4.pt}{0ex}}\text{fm}$. These results determine the esse…

[Phys. Rev. C 109, L011001] Published Thu Jan 04, 2024

]]>We probe the existence of the ${}_{{\mathrm{\Lambda}}_{c}}{}^{3}\mathrm{H}$ where the $N{\mathrm{\Lambda}}_{c}$ potentials are derived from the quark-delocalization color-screening model (QDCSM). The $N{\mathrm{\Lambda}}_{c}$ system is studied and the $N{\mathrm{\Lambda}}_{c}$ scattering length as well so the effective ranges are obtained in the QDCSM. We construct effective Gaussian-type $N{\mathrm{\Lambda}}_{c}$ potentials …

[Phys. Rev. C 109, 014001] Published Tue Jan 02, 2024

]]>Correlation functions of hadrons can be accessed in high-energy collisions of atomic nuclei, revealing information about the underlying interaction. This work complements experimental efforts to study nucleon-deuteron $Nd$—with $N=p$ (proton) or $N=n$ (neutron)—correlations with theory evaluations using d…

[Phys. Rev. C 108, 064002] Published Tue Dec 05, 2023

]]>A new model of the bremsstrahlung emission in the scattering of light nuclei is constructed with the main focus on the strict cluster formulation for nuclear processes. The analysis is performed in the frameworks of the folding approximation for $s$ nuclei. The reactions $p+{}^{4}\mathrm{He},{}^{2}\mathrm{H}+{}^{4}\mathrm{He},{}^{3}\mathrm{H}+{}^{4}\mathrm{He}$, and ${}^{3}\mathrm{He}\dots $

[Phys. Rev. C 108, 064001] Published Mon Dec 04, 2023

]]>Many-body approaches for atomic nuclei generally rely on a basis expansion of the nuclear states, interactions, and current operators. In this work, we derive the representation of the magnetic dipole operator in plane-wave and harmonic-oscillator basis states, as needed for Faddeev calculations of …

[Phys. Rev. C 108, 054005] Published Mon Nov 27, 2023

]]>**Background:** The existence of a tetraneutron comprising four neutrons has long been debated.

**Purpose:** Motivated by a recent observation of particle-stable tetraneutrons, we investigated potential particle-stable tetraneutron emission in thermal neutron-induced ${}^{235}\mathrm{U}$ fission using a nuclear research re…

[Phys. Rev. C 108, 054004] Published Wed Nov 22, 2023

]]>A coupled-channel nucleon-antinucleon interaction model is developed as an alternative to traditional optical models and is adjusted to reproduce the same $N\overline{N}$ low-energy dataset as the Kohno-Weise potential. The scattering lengths of the antiproton-deuteron system and the level shifts of its lowest …

[Phys. Rev. C 108, 054003] Published Fri Nov 17, 2023

]]>We present a Bayesian analysis of renormalization-group invariant nucleon-nucleon interactions at leading order in chiral effective field theory ($\chi \mathrm{EFT}$) with momentum cutoffs in the range 400–4000 MeV. We use history matching to identify relevant regions in the parameter space of low-energy constants…

[Phys. Rev. C 108, 054002] Published Tue Nov 14, 2023

]]>The effect of the center-of-mass motion on the high-momentum distributions of correlated nucleon pairs is studied by solving the Bethe-Goldstone equation in nuclear matter with the Granada nucleon-nucleon potential. We show that this coarse-grained potential reduces the problem to an algebraic linea…

[Phys. Rev. C 108, 054001] Published Mon Nov 06, 2023

]]>We calculate the cold neutron-deuteron ($nd$) capture cross section,${\sigma}_{nd}$ to next-to-next-to leading order (NNLO) using the model-independent approach of pionless effective-field theory [EFT($\overline{)\pi}$)]. At leading order we find ${\sigma}_{nd}=0.314\pm 0.217$ mb, while the experimental result is 0.508(15) mb [Phys. Rev. C **25**,…

[Phys. Rev. C 108, 044001] Published Mon Oct 23, 2023

]]>We derive explicit expressions for the Landau sum rules for the case of the most general spin-dependent quasiparticle interaction including all possible tensor interactions. For pure neutron matter, we investigate the convergence of the sum rules at different orders of approximation. Employing moder…

[Phys. Rev. C 108, 034003] Published Thu Sep 28, 2023

]]>The entanglement properties of neutron-proton scattering are investigated using a measure that counts the number of entangled pairs produced by the action of a scattering operator on a given initial neutron-proton state. All phase shifts relevant for scattering at laboratory energies up to 350 MeV a…

[Phys. Rev. C 108, L031002] Published Thu Sep 28, 2023

]]>We report the first results from a new approach for measuring the ${}^{3}\mathrm{He}$ neutron incoherent scattering length ${b}_{i}$. ${b}_{i}$ is directly proportional to the difference $\mathrm{\Delta}b={b}_{+}-{b}_{-}$ in the two low-energy $s$-wave neutron-nucleus scattering amplitudes ${b}_{+}$ and ${b}_{-}$, corresponding to the singlet $J=0$ and triplet $J=1$ states …

[Phys. Rev. C 108, L031001] Published Mon Sep 11, 2023

]]>We investigate the pairing properties of state-of-the-art semilocal coordinate-space and semilocal momentum-space regularized chiral interactions. Specifically, we calculate the pairing gaps in the ${}^{3}SD_{1}$ channel of symmetric nuclear matter and in ${}^{1}\mathrm{S}_{0}$ and ${}^{3}PF_{2}$ channels of pure neutron matter within th…

[Phys. Rev. C 108, 034002] Published Fri Sep 08, 2023

]]>A paramount goal in nuclear physics is to unify *ab initio* treatments of bound and unbound states. The position-space quantum Monte Carlo (QMC) methods have a long history of successful bound-state calculations in light systems but have seen minimal implementation in unbound systems. Here, we introdu…

[Phys. Rev. C 108, 034001] Published Thu Sep 07, 2023

]]>**Background:** This paper presents the extended-soft-core (ESC) potentials ESC16 for baryon-baryon ($BB$) channels with total strangeness $S=-3$ and $-4$. For these channels no experimental scattering data exist, apart from very recently measured preliminary correlations. Also, there is no information from h…

[Phys. Rev. C 108, 024003] Published Wed Aug 23, 2023

]]>Faddeev calculations of hypertriton (${}_{\mathrm{\Lambda}}^{3}\mathrm{H}$) separation energy are performed, incorporating $2\pi $-exchange $\mathrm{\Lambda}NN$ three-baryon force. Repulsive contributions of the three-baryon force in the order of 20 keV are found, depending on the $NN$ interactions employed. The effect is not negligible compared with the s…

[Phys. Rev. C 108, 024004] Published Wed Aug 23, 2023

]]>A new effective field theory is developed to describe shallow $P$-wave resonances using nonlocal, momentum-dependent two-body potentials. This approach is expected to facilitate many-body calculations and is demonstrated to converge and to be renormalizable in perturbative calculations at subleading o…

[Phys. Rev. C 108, 024002] Published Thu Aug 03, 2023

]]>Chiral effective field theory ($\chi \mathrm{EFT}$) provides a framework for obtaining internucleon interactions in a systematically improvable fashion from first principles, while also providing for the derivation of consistent electroweak current operators. In this work, we apply consistently derived interaction…

[Phys. Rev. C 108, 024001] Published Wed Aug 02, 2023

]]>Motivated by a recent high-energy electron and ${}^{3}\mathrm{H}$ and ${}^{3}\mathrm{He}$ nuclei scattering experiment at Jefferson Lab [S. Li *et al.*, Nature (London) **609**, 41 (2022)], the short-range correlations (SRCs) between nucleon pairs for three-nucleon systems are microscopically studied using a realistic $NN$ two-body intera…

[Phys. Rev. C 108, 014001] Published Thu Jul 27, 2023

]]>We study *three-charged-particle* low-energy elastic collision and particle-exchange reactions with special attention to the systems with Coulomb interaction and an additional nuclear interaction employing a close-coupling expansion scheme to a set of coupled two-component few-body equations. First we…

[Phys. Rev. C 107, 064003] Published Fri Jun 30, 2023

]]>**Background:** The ground-state wave function of deuteron is required to obtain its structure and form factors. Currently, an accurate analytical expression for the wave function is not available.

**Purpose:** In this paper, we determine the deuteron's static properties, low-energy scattering parameters, a…

[Phys. Rev. C 107, 064002] Published Wed Jun 28, 2023

]]>Chiral effective field theory allows one to express nuclear physics observables in terms of low-energy constants (LECs), representing physics at unresolved scales. In this work the authors focus on the two-nucleon contact interaction at fourth order (N3LO) and use a unitary transformation to reduce the number of involved LECs. This procedure induces a three-nucleon ($3N$) interaction depending on five unconstrained LECs. Those can be used, in association with a two-nucleon ($2N$) interaction, to fit very accurate data on polarization observables at low energies, in particular the $p$-$d$ ${A}_{y}$ polarization asymmetry. Thereby, adjusting the induced $3N$ N3LO LECs can solve the long-standing ${A}_{y}$ puzzle.

[Phys. Rev. C 107, L061001] Published Fri Jun 16, 2023

]]>In nuclear physics, effective field theory is a low-energy manifestation of QCD with baryons and pions as its constituents, rather than quarks and gluons. At very low energies, even the pions can be integrated out, providing a simple yet thorough framework to study nuclear physics with controlled theoretical uncertainties. This work extends previous studies to $A\le 4$ with accurate predictions for low-energy few-nucleon scattering, comparable to those from the best current analyses. The work confirms that a four-body force is needed at next-to-leading order to achieve cutoff-independent results.

[Phys. Rev. C 107, 064001] Published Tue Jun 06, 2023

]]>Emulators for low-energy nuclear physics can provide fast and accurate predictions of bound-state and scattering observables for applications that require repeated calculations with different parameters, such as Bayesian uncertainty quantification. In this paper, we extend a scattering emulator base…

[Phys. Rev. C 107, 054001] Published Tue May 16, 2023

]]>Nucleon-nucleon scattering is a fundamental process in low-energy nuclear physics. Although its spin correlations have been studied intensively, few works take the perspective of quantum information science. In this work, I explore the quantum information aspects of spin correlations in the partiall…

[Phys. Rev. C 107, 044005] Published Fri Apr 21, 2023

]]>We extend the many-body expansion (MBE), previously applied to hydrogen bonded and molecular systems, to the light nuclear systems ${}^{3}\mathrm{H}$ and ${}^{3}\mathrm{He}$ by considering the nucleonic degrees of freedom as fundamental in the expansion. The analysis is based on the Pauli nucleonic dynamics (PND) model, a simple a…

[Phys. Rev. C 107, 044004] Published Tue Apr 18, 2023

]]>We try to resolve the longstanding controversy over the low-lying $1/{2}^{+}$ state in ${}^{9}\mathrm{B}$. Experimentally, the energies for this state show a gap between various measurements done by different groups and some of them reported that the existence of the state is unclear. The situation is similar in the theor…

[Phys. Rev. C 107, 044003] Published Mon Apr 17, 2023

]]>We extend the renormalizability study of the formulation of chiral effective field theory with a finite cutoff, applied to nucleon-nucleon scattering, by taking into account nonperturbative effects. We consider the nucleon-nucleon interaction up to next-to-leading order in the chiral expansion. The …

[Phys. Rev. C 107, 044002] Published Mon Apr 10, 2023

]]>I extend the previous results on solving the inverse problem of quantum scattering theory (Marchenko theory, fixed-$l$ inversion). In particular, a set of isosceles triangular-pulse functions is applied to expand the Marchenko equation input kernel in a separable form. The separable form enables a red…

[Phys. Rev. C 107, 044001] Published Mon Apr 03, 2023

]]>We present local, position-space chiral $NN$ potentials through four orders of chiral effective field theory ranging from leading order (LO) to next-to-next-to-next-to-leading order (${\mathrm{N}}^{3}\mathrm{LO}$, fourth order) of the $\mathrm{\Delta}$-less version of the theory. The long-range parts of these potentials are fixed by the very…

[Phys. Rev. C 107, 034002] Published Wed Mar 29, 2023

]]>We consider nucleon-nucleon scattering using the formulation of chiral effective field theory which is claimed to be renormalization group invariant. The cornerstone of this framework is the existence of a well-defined infinite-cutoff limit for the scattering amplitude at each order of the expansion…

[Phys. Rev. C 107, 034001] Published Tue Mar 28, 2023

]]>The $\mathrm{\Lambda}$ separation energies of the isospin triplet ${}_{\mathrm{\Lambda}}{}^{7}\mathrm{He},{}_{\mathrm{\Lambda}}{}^{7}\mathrm{Li}^{*},{}_{\mathrm{\Lambda}}{}^{7}\mathrm{Be}$, and the $T=1/2$ doublet ${}_{\mathrm{\Lambda}}{}^{8}\mathrm{Li},{}_{\mathrm{\Lambda}}{}^{8}\mathrm{Be}$ are investigated within the no-core shell model. Calculations are performed based on a hyperon-nucleon potential derived from chiral effective field theory at next-to-leading order. The potential inc…

[Phys. Rev. C 107, 024002] Published Fri Feb 24, 2023

]]>A minimal set of five low energy constants (LECs) for time-reversal and parity violating $\left(\overline{)T}\overline{)P}\right)$ nucleon-nucleon $\left(NN\right)$ interactions at low energies $(E<{m}_{\pi}^{2}/{M}_{N})$ is given. Using a large-${N}_{C}$ (number of colors in quantum chromodynamics) analysis we show that one linear combination of LECs is $\mathcal{O}\left({N}_{C}\right)$, three L…

[Phys. Rev. C 107, 024001] Published Thu Feb 09, 2023

]]>A novel practical few-body method is formulated to include isospin symmetry for nuclear halo structures. The method is designed to describe $\beta $ decay, where the basic concept of isospin symmetry facilitates a proper understanding. Both isobaric analog and antianalog states are treated. We derive gener…

[Phys. Rev. C 107, 014003] Published Tue Jan 31, 2023

]]>We quantify the posterior predictive distributions (PPDs) of elastic neutron-deuteron ($nd$) scattering cross sections using nucleon-nucleon ($NN$) interactions from chiral effective field theory ($\chi \mathrm{EFT}$) up to and including next-to-next-to-next-to-leading order ($\mathrm{N}{}^{3}\mathrm{LO}$). These PPDs quantify the spread in $n\dots $

[Phys. Rev. C 107, 014002] Published Wed Jan 25, 2023

]]>We use Bayesian methods and Hamiltonian Monte Carlo (HMC) sampling to infer the posterior probability density function (PDF) for the low-energy constants (LECs) up to next-to-next-to-next-to-leading order (N3LO) in a chiral effective field theory ($\chi \mathrm{EFT}$) description of the nucleon-nucleon interaction…

[Phys. Rev. C 107, 014001] Published Fri Jan 20, 2023

]]>The attractive nature of the antikaon-nucleon interaction suggests that few-body systems of antikaons and nucleons can exist. The author presents a new study of the exotic $\overline{K}\phantom{\rule{0}{0ex}}N\phantom{\rule{0}{0ex}}N\phantom{\rule{0}{0ex}}N$ system. Four-body Faddeev-type equations are used to evaluate the binding energy and the width of the quasi-bound state in the system. The dependence of the results on the two-body antikaon-nucleon and nucleon-nucleon interactions is quantified.

[Phys. Rev. C 106, 064006] Published Tue Dec 27, 2022

]]>Inspired by a recent Letter [S. R. Beane *et al.*, Phys. Rev. Lett. **122**, 102001 (2019)], the entanglement generated in the elastic $S$-wave scattering of $p+{}^{3}\mathrm{He}$ and $n+{}^{3}\mathrm{H}$ is studied, where the proton, neutron, ${}^{3}\mathrm{He}$, and ${}^{3}\mathrm{H}$ are all regarded as qubits. To deal with the Coulomb interaction between the proton…

[Phys. Rev. C 106, 064005] Published Wed Dec 21, 2022

]]>We study the temporal formation of quantum-mechanical bound states within a one-dimensional attractive square-well potential by first solving the time-independent Schrödinger equation and then studying a time-dependent system with an external time-dependent potential. For this we introduce Gaussian …

[Phys. Rev. C 106, 064004] Published Tue Dec 20, 2022

]]>The ${\pi}^{-}+{}^{2}\mathrm{H}\to n+n,{\pi}^{-}+{}^{3}\mathrm{H}\to n+n+n,{\pi}^{-}+{}^{3}\mathrm{He}\to n+d$, and ${\pi}^{-}+{}^{3}\mathrm{He}\to p+n+n$ capture reactions from the lowest $1S$ atomic orbitals are studied under full inclusion of final state interactions. Our results are obtained with the single-nucleon and two-nucleon transition operators derived at leading order in chiral effecti…

[Phys. Rev. C 106, 064003] Published Mon Dec 19, 2022

]]>We present a comprehensive investigation of few-nucleon systems as well as light and medium-mass nuclei up to $A=48$ using the current Low Energy Nuclear Physics International Collaboration two-nucleon interactions in combination with the third-order (${\mathrm{N}}^{2}\mathrm{LO}$) three-nucleon forces. To address the systema…

[Phys. Rev. C 106, 064002] Published Mon Dec 05, 2022

]]>We explore the description of the bound ${}^{19}\mathrm{B}$ isotope in terms of a ${}^{17}\mathrm{B}+n+n$ three-body system where the two-body subsystems ${}^{17}\mathrm{B}+n$ and neutron-neutron ($nn$) have virtual states close to the continuum. Dimensionless scaling functions for the root-mean-square (rms) radii are defined and studied for differ…

[Phys. Rev. C 106, 064001] Published Thu Dec 01, 2022

]]>We consider a spin-balanced degenerate gas of spin-1/2 fermions whose dynamics is governed by low-energy $P$-wave interactions characterized by the scattering volume ${a}_{1}$ and effective momentum ${r}_{1}$. The energy per particle $\overline{\mathcal{E}}$ in the many-body system is calculated by resumming the ladder diagrams comprisi…

[Phys. Rev. C 106, 054003] Published Mon Nov 28, 2022

]]>An expression of partial-wave expansion of three-baryon interactions in chiral effective field theory is presented. The derivation follows the method by Hebeler *et al.* [Phys. Rev. C **91**, 044001 (2015)], but the final expression is more general. That is, a systematic treatment of the higher-rank spin-…

[Phys. Rev. C 106, 054004] Published Mon Nov 28, 2022

]]>We present the measured spin correlation coefficient ${C}_{y,y}$ for $p\text{\u2212}{}^{3}\mathrm{He}$ elastic scattering at 100 MeV at the angles ${\theta}_{\mathrm{c}.\mathrm{m}.}=46.{9}^{\circ}$–$149.{2}^{\circ}$ in the center-of-mass system. The ${C}_{y,y}$ data and the existing cross section data are compared with rigorous four-nucleon scattering calculations based on realistic nucleo…

[Phys. Rev. C 106, 054002] Published Mon Nov 21, 2022

]]>The energy levels of light hypernuclei are experimentally accessible observables that contain valuable information about the interaction between hyperons and nucleons. In this work we study strangeness $S=-1$ systems ${}_{\mathrm{\Lambda}}{}^{3,4}\mathrm{H}$ and ${}_{\mathrm{\Lambda}}{}^{4,5}\mathrm{He}$ using the *ab initio* no-core shell model (NCSM) with realistic intera…

[Phys. Rev. C 106, 054001] Published Fri Nov 04, 2022

]]>Recent proposals for the use of light nuclei as dark-matter direct detection targets necessitate a strong theoretical understanding of the nuclear physics involved. We perform relevant calculations for dark-matter–light-nucleus scattering in a combined pionless effective field theory and large-${N}_{c}$ ex…

[Phys. Rev. C 106, 044003] Published Wed Oct 26, 2022

]]>Bayesian model mixing (BMM) is a statistical technique that can be used to combine models that are predictive in different input domains into a composite distribution that has improved predictive power over the entire input space. We explore the application of BMM to the mixing of two expansions of …

[Phys. Rev. C 106, 044002] Published Thu Oct 20, 2022

]]>The five low-energy constants (LECs) in the electromagnetic current derived in chiral effective field theory ($\chi \mathrm{EFT}$) up to one loop are determined by a simultaneous fit to the $A=2-3$ nuclei magnetic moments and to the deuteron magnetic form factor and threshold electrodisintegration at backward angles…

[Phys. Rev. C 106, 044001] Published Fri Oct 07, 2022

]]>Based on the preliminary work done in a previous paper [Phys. Rev. C **105**, 054001 (2022)], we investigate the effects of laser-induced fusion rate enhancements of different fusion fuels. In the aforementioned work, which considered ${}_{1}{}^{2}\mathrm{H}\text{\u2212}{}_{1}{}^{3}\mathrm{H}$ (D-T) and ${\mathrm{DHe}}^{3}$ fusion, it was observed that a larger product …

[Phys. Rev. C 106, 034003] Published Tue Sep 27, 2022

]]>Charge-symmetry breaking, or CSB, is a fundamental concept in nuclear physics. Adding a $\mathrm{\Lambda}$ hyperon, a sibling of the nucleon with a strange quark, to light nuclei promises new insights as its isospin impurity must impact CSB in mirror hypernuclei, where the only good data available are for $A=4$. The authors use an ansatz that relates the charge-symmetry-breaking $\mathrm{\Lambda}\phantom{\rule{0}{0ex}}N$ interaction to the $\mathrm{\Lambda}\phantom{\rule{0}{0ex}}N\leftrightarrow \mathrm{\Sigma}\phantom{\rule{0}{0ex}}N$ strong-interaction coupling via the small isospin-one admixture the $\mathrm{\Lambda}$ obtains from the ${\mathrm{\Sigma}}^{0}$, as both are members of an SU(3) baryon octet and have an $u$-$d$-$s$ quark structure. Once the large CSB observed in mirror hypernuclei ${}_{\mathrm{\Lambda}}^{4}$H and ${}_{\mathrm{\Lambda}}^{4}$He is reproduced, the deduced isospin-one admixture of the $\mathrm{\Lambda}$ when inside these hypernuclei matches that in free space, provided SU(3) symmetry is partially conserved for these baryons. This approach can be tested in heavier hypernuclei when precise data for CSB become available.

[Phys. Rev. C 106, L031001] Published Tue Sep 20, 2022

]]>We study the nucleon-nucleon interaction up to next-to-next-to-leading order using time-ordered perturbation theory in the framework of manifestly Lorentz-invariant chiral effective field theory. We present the two-pion exchange contribution at one-loop level, which is consistent with the correspond…

[Phys. Rev. C 106, 034001] Published Thu Sep 08, 2022

]]>We employ two models of the nucleon-nucleon force: the OPE-Gaussian as well as the chiral $\mathrm{N}{}^{4}\mathrm{LO}$ and $\mathrm{N}{}^{4}\mathrm{LO}^{+}$ interactions with semilocal regularization in momentum space to study correlations among two-nucleon and three-nucleon elastic scattering observables. These models contain a number of free parame…

[Phys. Rev. C 106, 034002] Published Thu Sep 08, 2022

]]>Pion exchange is the central ingredient to nucleon-nucleon interactions used in nuclear structure calculations, and one-pion exchange (OPE) enters at leading order in chiral effective field theory. In the ${}^{2S+1}{L}_{J}={}^{1}{S}_{0}$ partial wave, however, OPE and a contact term needed for proper renormalization fail…

[Phys. Rev. C 106, 024004] Published Thu Aug 25, 2022

]]>In this work, we show that the eigenvalue continuation approach introduced recently by Frame *et al.* [Phys. Rev. Lett. **121**, 032501 (2018)], despite its many advantages, has some fundamental limitations which cannot be overcome when strongly correlated many-body systems are considered. Taking as a wor…

[Phys. Rev. C 106, 024002] Published Thu Aug 18, 2022

]]>The paper contains new results for the ${T}_{20}$ component of the tensor analyzing power measured for the incoherent photoproduction of neutral pions on a deuteron, $\gamma d\to {\pi}^{0}pn$. The results are presented for photon energies ${E}_{\gamma}$ in the range from 300 to 600 MeV. The experimental statistics accumulated at the VE…

[Phys. Rev. C 106, 024003] Published Thu Aug 18, 2022

]]>This paper presents a framework to solve the Faddeev equations for three-nucleon scattering using the wave-packet continuum-discretization method. The authors perform benchmark calculations with chiral nucleon-nucleon interactions. The paper represents a first step toward a systematic inclusion of three-nucleon scattering in the construction of next-generation nuclear interactions.

[Phys. Rev. C 106, 024001] Published Wed Aug 10, 2022

]]>We develop a class of emulators for solving quantum three-body scattering problems. They are based on combining the variational method for scattering observables and the recently proposed eigenvector continuation concept. The emulators are first trained by the exact scattering solutions of the gover…

[Phys. Rev. C 105, 064004] Published Tue Jun 28, 2022

]]>Experimental cross sections for the ${}^{4}\mathrm{He}(e,{e}^{\prime}p)X$ reactions in the missing energy range from 0.017 to 0.022 GeV and up to a missing momentum of 0.632 GeV/$c$ at ${x}_{B}=1.24$ and ${Q}^{2}=2$ (GeV/${c)}^{2}$ are reported. The data are compared to relativistic distorted-wave impulse approximation calculations for the ${}^{4}\mathrm{He}(e,{e}^{\dots}$

[Phys. Rev. C 105, 064003] Published Wed Jun 22, 2022

]]>We investigate the appearance of resonances in three-body systems using pionless effective field theory at leading order with two complementary methods. The Faddeev equation is analytically continued to the unphysical sheet adjacent to the positive real energy axis using a contour rotation. We consi…

[Phys. Rev. C 105, 064002] Published Mon Jun 13, 2022

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