Fractional calculus within the optical model used in nuclear and particle physics

Fuente: arXiv
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Auteur principal: Herrmann, Richard
Format: Preprint
Publié: 2022
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author Herrmann, Richard
author_facet Herrmann, Richard
contents The optical model is a fundamental tool to describe scattering processes in nuclear physics. The basic input is an optical model potential, which describes the refraction and absorption processes more or less schematically. Of special interest is the form of the absorption potential. With increasing energy of the incident projectile, a derivation of this potential must take into account the observed energy dependent transition from surface to volume type. The classic approach has weaknesses in this regard. We will discuss these deficiencies and will propose an alternative method based on concepts developed within the framework of fractional calculus, which allows to describe a smooth transition from surface to volume absorption in an appropriate way.
format Preprint
id arxiv_https___arxiv_org_abs_2210_06355
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Fractional calculus within the optical model used in nuclear and particle physics
Herrmann, Richard
General Physics
The optical model is a fundamental tool to describe scattering processes in nuclear physics. The basic input is an optical model potential, which describes the refraction and absorption processes more or less schematically. Of special interest is the form of the absorption potential. With increasing energy of the incident projectile, a derivation of this potential must take into account the observed energy dependent transition from surface to volume type. The classic approach has weaknesses in this regard. We will discuss these deficiencies and will propose an alternative method based on concepts developed within the framework of fractional calculus, which allows to describe a smooth transition from surface to volume absorption in an appropriate way.
title Fractional calculus within the optical model used in nuclear and particle physics
topic General Physics
url https://arxiv.org/abs/2210.06355