Nucleon semimagic numbers and low-energy neutron scattering

TL;DR

This paper proposes a method using low-energy neutron scattering cross sections and coupled channel optical model analysis to identify nuclei with semimagic numbers of nucleons, demonstrated through specific examples.

Contribution

It introduces a novel approach combining experimental data and modeling to detect semimagic nucleon numbers in nuclei.

Findings

Successful identification of semimagic numbers in certain nuclei

Validation of the method with experimental neutron scattering data

Potential for broader application in nuclear structure studies

Abstract

It is shown that experimental values of the cross sections of inelastic low-energy neutron scattering on even-even nuclei together with the description of these cross sections in the framework of the coupled channel optical model may be considered as a reliable method for finding nuclei with a semimagic number (or numbers) of nucleons. Some examples of the application of this method are considered.