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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

We develop a relativistic model to describe the bound states of positive energy and negative energy in finite nuclei at the same time. Instead of searching for the negative-energy solution of the nucleon's Dirac equation, we solve the Dirac…

Nuclear Theory · Physics 2016-08-15 G. Mao , H. Stöcker , W. Greiner

The Lagrangian density of standard relativistic mean-field (RMF) models with density-dependent meson-nucleon coupling vertices is modified by introducing couplings of the meson fields to derivative nucleon densities. As a consequence, the…

Nuclear Theory · Physics 2007-05-23 S. Typel

Nucleus-nucleus scattering is studied in the local Reggeon Field Theory in the quasi-classical approximation with non-eikonal boundary conditions corresponding to the Glauber picture at low energies. Comparison with the commonly used…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. A. Braun

Within the key issues of hadronic physics one of the interesting issues in nuclear physics is whether there is a transition region between meson-nucleon and quark-gluon degrees of freedom in the NN interaction. This question is relevant for…

Nuclear Theory · Physics 2007-05-23 H. V. von Geramb , A. Funk , H. F. Arellano

It is a well known fact that Dirac phenomenology of nuclear forces predicts the existence of large scalar and vector mean fields in matter. To analyse the relativistic self-energy in a model independent way, modern high precision…

Nuclear Theory · Physics 2008-11-26 O. Plohl , C. Fuchs

The nucleon differential elastic scattering cross sections, the total proton reaction cross sections, and the single-particle energies of nucleon bound states for 40Ca, 90Zr and 208Pb are reanalyzed in terms of the dispersive optical model…

Nuclear Theory · Physics 2008-11-26 O. V. Bespalova , E. A. Romanovsky , T. I. Spasskaya

Microscopic descriptions of exotic nuclei are the subject of much experimental and theoretical effort. Not only are such important in their own right but are also necessary for applications in nuclear astrophysics. Evaluations of model wave…

Nuclear Theory · Physics 2009-11-11 S. Karataglidis

We formulate microscopic neutron-nucleus optical potentials from many-body perturbation theory based on chiral two- and three-body forces. The neutron self energy is first calculated in homogeneous matter to second order in perturbation…

Nuclear Theory · Physics 2020-07-01 T. R. Whitehead , Y. Lim , J. W. Holt

We employ the extended Nambu-Jona-Lasinio, linear-$\sigma$ models, and the density-dependent model with chiral limits to work out the mean fields and relevant properties of nuclear matter. To have the constraint from the data, we reexamine…

Nuclear Theory · Physics 2021-12-07 Niu Li , Si-Na Wei , Wei-Zhou Jiang

In recent years, we constructed a microscopic optical potential (OP) for elastic nucleon-nucleus ($NA$) scattering using modern approaches based on chiral theories for the nucleon-nucleon ($NN$) interaction. The OP was derived at first…

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

Modern nuclear data evaluation increasingly requires not only accurate scattering calculations, but also efficient methods for uncertainty quantification and parameter optimization, tasks that benefit from differentiable solvers amenable to…

Nuclear Theory · Physics 2026-05-28 Jin Lei

We formulate microscopic optical potentials for nucleon-nucleus scattering from chiral two- and three-nucleon forces. The real and imaginary central terms of the optical potentials are obtained from the nucleon self energy in infinite…

Nuclear Theory · Physics 2019-10-24 T. R. Whitehead , Y. Lim , J. W. Holt

A brief overview of various approaches to the optical-model description of nuclei is presented. A survey of some of the formal aspects is given which links the Feshbach formulation for either the hole or particle Green's function to the…

Nuclear Theory · Physics 2019-03-27 Willem H. Dickhoff , Robert J. Charity

A microscopic study of proton elastic scattering from unstable nuclei at intermediate energies using a relativistic formalism is presented. We have employed both the original relativistic impulse approximation (IA1) and the generalised…

Nuclear Theory · Physics 2018-08-15 W. A. Yahya , B. I. S. van der Ventel , R. A. Bark , B. C. Kimene Kaya

In this work, we develop an updated model for pion-nucleus scattering in the framework of the distorted wave impulse approximation in momentum space. We construct the second-order pion-nucleus potential, which involves analysis of…

Nuclear Theory · Physics 2024-02-27 Viacheslav Tsaran , Marc Vanderhaeghen

We investigate the asymptotic separation of the optical model potential for nucleon-nucleus scattering in momentum space, where the potential is split into a medium-independent term and another depending exclusively on the gradient of the…

Nuclear Theory · Physics 2008-11-26 F. J. Aguayo , H. F. Arellano

In this work we extend a previously derived $n$- $^9$Be optical potential up to 500 MeV and apply it to the system $n$- $^{12}$C, finding excellent results for the energy dependence of the total cross sections. Results obtained with a…

Nuclear Theory · Physics 2023-10-24 Imane Moumene , Angela Bonaccorso

We present a relativistic and unitary approach to pion- and photon-nucleon scattering taking into account the $\pi N$, $\rho N$, $\omega N$, $\eta N$, $\pi\Delta$, $K \Lambda$ and $K \Sigma$ channels. Our scheme dynamically generates the s-…

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