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Within a covariant Bethe-Salpeter approach, the relativistic complex separable neutron-proton interaction kernel is proposed. The uncoupled partial-wave states with the total angular momentum $J$=0,1 are considered. The multirank separable…

Nuclear Theory · Physics 2011-06-23 S. G. Bondarenko , V. V. Burov , E. P. Rogochaya

Background: Calculating microscopic effective interactions (optical potentials) for elastic nucleon-nucleus scattering has already in the past led to a large body of work. For first-order calculations a nucleon-nucleon (\textit{NN})…

Nuclear Theory · Physics 2020-09-16 M. Burrows , R. B. Baker , Ch. Elster , S. P. Weppner , K. D. Launey , P. Maris , G. Popa

Laser speckles have become a fundamental component of the modern optics-research toolbox. Not only are speckle patterns the basis of numerous imaging techniques, but also, they are employed to generate optical potentials for cold atoms and…

Optics · Physics 2019-03-12 Nicholas Bender , Hasan Yilmaz , Yaron Bromberg , Hui Cao

This work is part of an ongoing effort to build microscopically-driven nonlocal optical potentials easily tracktable in scattering codes. Based on the separable `$JvH$' structure proposed recently \cite{arellano_22}, where the potential can…

Nuclear Theory · Physics 2024-02-26 G. Blanchon , H. F. Arellano

Elastic scattering observables (differential cross section and analyzing power) are calculated for the reaction $^6$He(p,p)$^6$He at projectile energies starting at 71 MeV/nucleon. The optical potential needed to describe the reaction is…

Nuclear Theory · Physics 2013-10-02 A. Orazbayev , Ch. Elster , S. P. Weppner

We model fission at barrier-top energies in a simplified model space that permits comparison of different components of the residual nucleon-nucleon interaction. The model space is built on particle-hole excitations of reference…

Nuclear Theory · Physics 2024-11-11 K. Uzawa , K. Hagino

Effective field theories (EFTs) are widely used to study many-body systems by describing two-body interactions using zero-ranged contact potentials. However, when extended to three-body processes, these contact interactions lead to…

Quantum Gases · Physics 2026-03-02 Corinne Beckers , Jacques Tempere , Jeff Maki , Denise Ahmed-Braun

Relativistic and non-relativistic modern nucleon-nucleon potentials are mapped on a relativistic operator basis using projection techniques. This allows to compare the various potentials at the level of covariant amplitudes were a…

Nuclear Theory · Physics 2016-08-16 O. Plohl , C. Fuchs , E. N. E. van Dalen

I present numerical study of an elastic scattering by solving second order differential equations of Schroedinger Equation for some types of central potential (eg. square well, Yukawa, and Woods-Saxon) to find the wave function inside the…

Nuclear Theory · Physics 2021-09-14 C. Wibisono

Single-neutron transfer reactions populating states in the continuum are interesting both for structure and astrophysics. In their description often global optical potentials are used for the nucleon-target interactions, and these…

Nuclear Theory · Physics 2018-11-14 Weichuan Li , Gregory Potel , Filomena Nunes

The S-wave effective range parameters of the neutron-deuteron (nd) scattering are derived in the Faddeev formalism, using a nonlocal Gaussian potential based on the quark-model baryon-baryon interaction fss2. The spin-doublet low-energy…

Nuclear Theory · Physics 2015-03-17 Kenji Fukukawa , Yoshikazu Fujiwara

The optical potential is a powerful instrument for calculations on a wide variety of nuclear reactions, in particular, for quasi-elastic lepton-nucleus scattering. Phenomenological optical potentials are successful in the description of…

Nuclear Theory · Physics 2017-07-13 Carlotta Giusti

The dispersion relations for nucleon-nucleon (NN) T-matrix in the framework of Bethe-Salpeter equation for two spin one-half particle system and with separable kernel of interaction are considered in the paper. The developed expressions are…

Nuclear Theory · Physics 2009-11-07 Serge G. Bondarenko , Valery V. Burov , Naohide Hamamoto , Hiroshi Toki

The notion of interacting elementary particles for low and medium energy nuclear physics is associated with definitions of potential operators. In principle, this potential carries the rich substructure consisting of quarks and gluons and…

Nuclear Theory · Physics 2009-10-30 L. Jaede , M. Sander , H. V. von Geramb

We present a determination of optical potentials for $^{10}$Be-nucleus collisions using the double-folding method to compute the real part and Kramers-Kronig dispersion relations to derive the imaginary part. As microscopic inputs we use…

Nuclear Theory · Physics 2022-09-29 V. Durant , P. Capel

We consider a class of particle systems which appear in various applications such as approximation theory, plasticity, potential theory and space-filling designs. The positions of the particles on the real line are described as a global…

Analysis of PDEs · Mathematics 2022-10-05 Patrick van Meurs , Ken'ichiro Tanaka

Differential cross sections and analyzing powers for elastic scattering from, and for inelastic proton scattering to a set of $2^+_1$ states in, ${}^{12}$C, ${}^{20}$Ne, ${}^{24}$Mg, ${}^{28}$Si and ${}^{40}$Ca, and for a set of energies…

Nuclear Theory · Physics 2008-11-26 Y. J. Kim , K. Amos , S. Karataglidis , W. A. Richter

In this paper, we construct a new phenomenological isospin dependent global neutron-nucleus optical model potential. Based on the existing experimental data of elastic scattering angular distributions for neutron as projectile, we obtain a…

Nuclear Theory · Physics 2012-03-27 Xiao-Hua Li , Lie-Wen Chen

Sophisticated high-energy and large momentum-transfer scattering experiments combined with ab-initio calculations can reveal the short-distance behavior of nucleon pairs in nuclei. On an opposite energy and resolution scale, elastic…

Nuclear Theory · Physics 2019-02-19 Ronen Weiss , Axel Schmidt , Gerald A. Miller , Nir Barnea

A few analytic exponential models of elastic differential cross section, constructed as purely phenomenological models, are proposed and tested. The models incorporate energy-dependent exponential slopes, power-law prefactors, and localized…

High Energy Physics - Phenomenology · Physics 2025-12-03 Muhammad Saad Ashraf , Nosheen Akbar
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