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A recently derived dispersive optical model potential (DOMP) for $^{208}$Pb is extended to consider the non-locality in the real potential and the shell-gap in the definition of the nuclear imaginary potentials near the Fermi energy. The…

Nuclear Theory · Physics 2020-07-01 Xiuniao Zhao , Weili Sun , R. Capote , E. Sh. Soukhovitski\~ı , D. S. Martyanov , J. M. Quesada

Optical potentials are a standard tool in the study of nuclear reactions, as they describe the interaction between a target nucleus and a projectile. The use of phenomenological optical potentials built using experimental data on stable…

Nuclear Theory · Physics 2025-11-18 G. H. Sargsyan , G. Potel , K. Kravvaris , J. E. Escher

A new method for solving the time-dependent two-center Dirac equation is developed. The time-dependent Dirac wave function is represented as a sum of atomic-like Dirac-Sturm orbitals, localized at the ions. The atomic orbitals are obtained…

We present the first systematic nonlocal dispersive optical model analysis using both bound-state and scattering data of $^{16,18}$O, $^{40,48}$Ca, $^{58,64}$Ni, $^{112,124}$Sn, and $^{208}$Pb. In all systems, roughly half the total nuclear…

Nuclear Theory · Physics 2020-09-09 C. D. Pruitt , R. J. Charity , L. G. Sobotka , M. C. Atkinson , W. H. Dickhoff

The ground-state properties of neutron-rich nuclear clusters in the inner crust of neutron stars are investigated within the Wigner-Seitz approximation using a relativistic mean-field framework. The radial Dirac equations are solved with an…

Nuclear Theory · Physics 2026-05-08 Jinzhe Zhang , Hong Shen , Ying Zhang , Jinniu Hu

The thermal properties of asymmetric nuclear matter are investigated in a relativistic mean- field approach. We start from free space NN-interactions and derive in-medium self-energies by Dirac-Brueckner theory. By the DDRH procedure we…

Nuclear Theory · Physics 2015-03-11 Andreas Fedoseew , Horst Lenske

We construct a relativistic and unitary approach to 'high' energy pion- and photon-nucleon reactions taking the $\pi N, \pi \Delta$, $\rho N$, $\omega N$, $\eta N, K \Lambda, K \Sigma$ final states into account. Our scheme dynamically…

Nuclear Theory · Physics 2010-12-16 M. F. M. Lutz , Gy. Wolf , B. Friman

The theory of the elastic scattering of a nucleon from a nucleus is presented in the form of a Spectator Expansion of the optical potential. Particular attention is paid to the treatment of the free projectile$\,-\,$nucleus propagator when…

Nuclear Theory · Physics 2008-11-26 C. R. Chinn , Ch. Elster , R. M. Thaler , S. P. Weppner

The reliability of a previous $\alpha$-particle optical-model potential (OMP) on nuclei with mass number 45$\leq$$A$$\leq$209 was proved for emitted $\alpha$ particles as well, for proton--induced reactions on Zn isotopes [Phys. Rev. C {\bf…

Nuclear Theory · Physics 2023-03-23 Marilena Avrigeanu , Vlad Avrigeanu

Pion-nucleus scattering cross sections are calculated by solving a Schr\"{o}dinger equation reduced from the Klein-Gordon equation. Local potentials are assumed, and phenomenological potential parameters are searched energy-dependently for…

Nuclear Theory · Physics 2009-09-25 S. W. Hong , B. T. Kim

A relativistic extension of the particle-particle hole-hole ring-diagram many-body formalism is developed by using the Dirac equation for single-particle motion in the medium. Applying this new formalism, calculations are performed for…

Nuclear Theory · Physics 2008-11-26 M. F. Jiang , R. Machleidt , T. T. S. Kuo

The nucleon-nucleon short-range correlation NN-SRC is one of the key issues of nuclear physics, which typically manifest themselves in high-momentum components of the nuclear momentum distributions. In this letter, the nuclear spectral…

Nuclear Theory · Physics 2022-10-27 Qinglin Niu , Jian Liu , Yuanlong Guo , Chang Xu , Mengjiao Lyu , Zhongzhou Ren

The two-body Dirac equation with general local potential is reduced to the pair of ordinary second-order differential equations for radial components of a wave function. The class of linear + Coulomb potentials with complicated spin-angular…

High Energy Physics - Phenomenology · Physics 2008-12-19 Askold Duviryak

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

An analysis of nuclear properties based on a relativistic energy functional containing Dirac nucleons and classical scalar and vector meson fields is discussed. Density functional theory implies that this energy functional can include…

Nuclear Theory · Physics 2009-07-09 R. J. Furnstahl , Brian D. Serot , Hua-Bin Tang

The system describing a single Dirac electron field coupled with classically moving point nuclei is presented and studied. The model is a semi-relativistic extension of corresponding time-dependent one-body Hartree-Fock equation coupled…

Analysis of PDEs · Mathematics 2019-02-05 Federico Cacciafesta , Anne-Sophie de Suzzoni , Diego Noja

A momentum-dependent mean field potential, suitable for application in the transport-model description of nucleus-nucleus collisions, is derived in a microscopic way. The derivation is based upon the Bonn meson-exchange model for the…

Nuclear Theory · Physics 2008-11-26 G. Q. Li , R. Machleidt

The Vincent--Phatak procedure for solving the momentum-space Schrodinger equation with combined Coulomb-plus-short-range potentials is extended to angular momentum states coupled by an optical potential---as occurs in spin 1/2 times 1/2…

Nuclear Theory · Physics 2009-09-25 D. Lu , T. Mefford , G. Song , R. H. Landau

High precision studies of Beyond-Standard-Model physics through accelerator-based neutrino oscillation experiments require a very accurate description of neutrino-nucleus cross sections in a broad energy region, going from quasielastic…

High Energy Physics - Phenomenology · Physics 2021-06-04 Maria B. Barbaro , Arturo De Pace , Luisa Fiume

Recently, a new approach for solving the three-body problem for (d,p) reactions in the Coulomb-distorted basis in momentum space was proposed. Important input quantities for such calculations are the scattering matrix elements for proton-…

Nuclear Theory · Physics 2015-06-22 L. Hlophe , V. Eremenko , Ch. Elster , F. M. Nunes , G. Arbanas , J. E. Escher , I. J. Thompson
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