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The closed-form Br\"ukner $G$ matrix for nuclear matter is computed in the $^1S_0$ channel of EFT($\not\!\!\pi$) and renormalized in nonperturbative context. The nuclear medium environment yields additional constraints that are consistent…

Nuclear Theory · Physics 2021-06-04 Ting-Wei Pan , Ji-Feng Yang

An exact treatment of the operators Q/e(\omega) and the total momentum is adopted to solve the nuclear matter Bruecker-Bethe-Goldstone equation with two- and three-body forces. The single-particle potential, equation of state and nucleon…

Nuclear Theory · Physics 2021-07-27 Xin-Le Shang , Jian-Min Dong , Wei Zuo , Peng Yin , U. Lombardo4

In non-relativistic Brueckner calculations of nuclear matter, the self-consistent single particle potential is strongly momentum dependent. To simplify the calculations, a parabolic approximation is often used in the literature. The…

Nuclear Theory · Physics 2009-11-06 M. Baldo , A. Fiasconaro

Separable nucleon-nucleon potentials are calculated using inverse scattering techniques as presented in previously published work. The dependence of the potentials on the momentum cut-off of the scattering phase-shifts is studied. Some…

Nuclear Theory · Physics 2007-05-23 H. S. Kohler

The formalism of the relativistic (or Dirac-) Brueckner approach in infinite nuclear matter is described. As nucleon-nucleon interaction the one-boson exchange potentials Bonn A,B,C and for comparison the Walecka model are used. The…

Nuclear Theory · Physics 2008-11-26 L. Sehn , C. Fuchs , Amand Faessler

Recently a new approach to calculate the nuclear potential from lattice QCD has been proposed. In the approach the nuclear potential is constructed from Bethe-Salpeter (BS) wave functons through the Schroedinger equation. The procedure…

High Energy Physics - Lattice · Physics 2010-03-03 K. Murano , N. Ishii , S. Aoki , T. Hatsuda

We use the tools of the J-matrix method to evaluate the S-matrix and then deduce the bound and resonance states energies for singular screened Coulomb potentials, both analytic and piecewise differentiable. The J-matrix approach allows us…

Quantum Physics · Physics 2011-06-27 M. S. Abdelmonem , I. Nasser , H. Bahlouli , U. Al-Khawaja , A. D. Alhaidari

This paper has been merged with the preprint nucl-th/0210057. The combined version is accepted for publication is Phys. Rev. C

Nuclear Theory · Physics 2013-05-29 T. Duguet , P. Bonche

We investigate nuclear matter properties in the relativistic Brueckner approach. The in-medium on-shell T-matrix is represented covariantly by five Lorentz invariant amplitudes from which we deduce directly the nucleon self-energy. We…

Nuclear Theory · Physics 2008-11-26 T. Gross-Boelting , C. Fuchs , Amand Faessler

We perform large-space shell-model calculations for the low-lying energy spectra of a few light nuclei, $^4\mbox{He}$, $^5\mbox{He}$, $^6\mbox{Li}$ and $^7\mbox{Li}$, in a no-core model space with a realistic effective two-body interaction…

Nuclear Theory · Physics 2008-11-26 D. C. Zheng , B. R. Barrett , L. Jaqua , J. P. Vary , R. J. McCarthy

The positions of the $l=0$ $S$-matrix poles are calculated in generalized Woods-Saxon (GWS) potential and in cut-off generalized Woods-Saxon (CGWS) potential. The solutions of the radial equations are calculated numerically for the CGWS…

Nuclear Theory · Physics 2016-04-20 P. Salamon , Á. Baran , T. Vertse

Brueckner-Hartree-Fock theory allows to derive the $G$-matrix as an effective interaction between nucleons in the nuclear medium. It depends on the center of mass momentum $\bm{P}$ of the two particles and on the two relative momenta…

Nuclear Theory · Physics 2018-11-14 Hui Tong , Xiu-Lei Ren , Peter Ring , Shi-Hang Shen , Si-Bo Wang , Jie Meng

The Lippmann-Schwinger equation for the nucleon-nucleon $t$-matrix as well as the corresponding Bethe-Goldstone equation to determine the Brueckner reaction matrix in nuclear matter are reformulated in terms of the resolvents for the total…

Nuclear Theory · Physics 2016-09-21 H. Müther , O. A. Rubtsova , V. I. Kukulin , V. N. Pomerantsev

The elastic neutron-${}^3\mathrm{H}$ scattering at intermediate energies is studied using rigorous integral equations solved in the momentum-space partial-wave basis. The four-particle transition operators are expanded into…

Nuclear Theory · Physics 2025-02-24 A. Deltuva

The properties of asymmetric nuclear matter have been investigated in a relativistic Dirac-Brueckner-Hartree-Fock framework using the Bonn A potential. The components of the self-energies are extracted by projecting on Lorentz invariant…

Nuclear Theory · Physics 2009-11-10 E. N. E. van Dalen , C. Fuchs , Amand Faessler

We investigate the neutron and proton single particle (s.p.) potentials of asymmetric nuclear matter and their isospin dependence in various spin-isospin $ST$ channels within the framework of the Brueckner-Hartree-Fock approach. It is shown…

Nuclear Theory · Physics 2013-10-08 Wei Zuo , Sheng-Xin Gan , Umberto Lombardo

Energies of symmetric nuclear matter and neutron matter are evaluated in the lowest order Bruekner theory using the Ch-EFT potential including effects of the three-nucleon force (3NF). The 3NF is first reduced to density-dependent…

Nuclear Theory · Physics 2015-06-17 M. Kohno

The ability of the Gogny forces of the D1 family to describe the nucleon-nucleus scattering is studied. To this end, we use an optical model potential built up using a semi-microscopic nuclear matter approach. The real and imaginary parts…

Nuclear Theory · Physics 2020-12-15 Juan Lopez-Moraña , Xavier Viñas

For a set of realistic nucleon-nucleon potentials we evaluate microscopic parameters of binary collisions: a time duration of the scattering state, a mean distance and a rotation of nucleons during a collision. These parameters enter the…

Nuclear Theory · Physics 2009-10-31 Klaus Morawetz , Pavel Lipavský , Václav Špička , Nai-Hang Kwong

A benchmark-quality potential energy curve is reported for the H$_3$ system in collinear nuclear configurations. The electronic Schr\"odinger equation is solved using explicitly correlated Gaussian (ECG) basis functions using an optimized…

Chemical Physics · Physics 2022-07-13 Dávid Ferenc , Edit Mátyus
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