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Background: Charge-exchange reactions are a powerful tool for exploring nuclear structure and nuclear astrophysics, however, a robust charge-exchange reaction theory with quantified uncertainties is essential to extracting reliable physics.…

Nuclear Theory · Physics 2022-05-27 T. R. Whitehead , T. Poxon-Pearson , F. M. Nunes , G. Potel

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 real part of the optical potential for the nucleon-nucleus scattering at lower energies (E_i<100MeV) has been calculated including nucleonic and mesonic form factors by a double folding approach. Realistic density- and energy-dependent…

Nuclear Theory · Physics 2007-05-23 M. Avrigeanu , A. N. Antonov , H. Lenske , I. Stetcu

Nucleon self-energies for 40Ca, 48Ca, 60Ca isotopes are generated with the microscopic Faddeev-random-phase approximation (FRPA). These self-energies are compared with potentials from the dispersive optical model (DOM) that were obtained…

Nuclear Theory · Physics 2015-05-28 S. J. Waldecker , C. Barbieri , W. H. Dickhoff

We investigate the nonlocal structure of optical model potentials for nucleon-nucleus scattering based on microscopic approaches. To this purpose, \emph{in-medium} folding optical potentials are calculated in momentum space and their…

Nuclear Theory · Physics 2018-12-05 H. F. Arellano , G. Blanchon

This chapter presents an overview of the optical model description of nucleon-nucleus scattering and reactions based on fundamental nuclear two-body and many-body forces. The chapter begins with a historical review followed by a discussion…

Nuclear Theory · Physics 2022-06-09 J. W. Holt , T. R. Whitehead

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 present the first numerically exact implementation of full-coupling Feshbach theory for deriving effective optical potentials in nuclear reactions, overcoming long-standing computational barriers that previously necessitated…

Nuclear Theory · Physics 2025-08-12 Hao Liu , Jin Lei , Zhongzhou Ren

Direct nuclear reactions $\vec{d}+A$ and $\vec{p}+(An)$ are described in the framework of three-body Faddeev-type equations. Differential cross section and analyzing powers are calculated using several optical potential models and compared…

Nuclear Theory · Physics 2009-03-22 A. Deltuva

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

This investigation compares non-relativistic and relativistic nucleon-nucleon (NN) potentials in the context of pd scattering. Conventional NN potentials (e.g., CDBonn, AV18) rely on the non-relativistic Schr\"odinger equation, whereas the…

The change in mass of a nucleon, arising from its interactions with other nucleons inside the target, results in velocity-dependent terms in the Schr\"odinger equation that describes nucleon scattering. It has recently been suggested in a…

Nuclear Theory · Physics 2019-05-22 N. K. Timofeyuk

We argue that most commonly used models for nuclear scattering at ultra-relativistic energies do not treat energy conservation in a consistent fashion. Demanding theoretical consistency as a minimal requirement for a realistic model, we…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. J. Drescher , M. Hladik , S. Ostapchenko , T. Pierog , K. Werner

We present a method to integrate predictions from a theoretical model of a reaction with three bodies in the final state over the region of phase space covered by a given experiment. The method takes into account the true experimental…

Microscopic optical model potential results for reaction cross sections of proton elastic scattering are presented. The applications cover the 10-1000 MeV energy range and consider both stable and unstable nuclei. The study is based on…

Nuclear Theory · Physics 2008-11-26 H. F. Arellano , M. Girod

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

We introduce a new method to construct, within inverse-scattering theory, an energy-independent separable potential capable of reproducing exactly both phase shift and absorption over a predefined energy range. The approach relies on the…

Nuclear Theory · Physics 2024-08-29 H. F. Arellano , N. A. Adriazola

The nonrelativistic full-folding optical model approach for nucleon-nucleus scattering is extended into the relativistic regime. In doing so, kinematical issues involving the off-shell Lorentz boost of the colliding particles between the…

Nuclear Theory · Physics 2009-11-07 H. F. Arellano , H. V. von Geramb

Recently a variety of studies have shown the importance of including non-locality in the description of reactions. The goal of this work is to revisit the phenomenological approach to determining non-local optical potentials from elastic…

Nuclear Theory · Physics 2018-01-17 A. E. Lovell , P. -L. Bacq , P. Capel , F. M. Nunes , L. J. Titus

The relativistic Faddeev equation for three-nucleon scattering is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is achieved by…

Nuclear Theory · Physics 2008-11-26 T. Lin , Ch. Elster , W. N. Polyzou , W. Gloeckle