Neutron Single-particle States in 101Sn by Polynomial Fits and Shell Model Calculations for Light Sn Isotopes

TL;DR

This study estimates single-particle energies in 101Sn using polynomial fits of lighter isotopes and performs shell model calculations to compare with experimental data and existing interactions.

Contribution

It introduces a novel extrapolation method for single-particle energies in 101Sn based on polynomial fits of lighter isotopes, enhancing shell model studies.

Findings

Polynomial fits successfully extrapolate single-particle energies for 101Sn.

Shell model calculations with new interactions align well with experimental data.

Comparison shows improvements over traditional interactions like sn100pn.

Abstract

One of the main ingredients in nuclear structure studies using shell model are the single-particle energy (spe). In order to obtain these values accurately, experimental data is needed. The region around the doubly magic nuclide 100Sn is very interesting for nuclear studies in terms of structure, reaction and nuclear astrophysics. Experimental spectrum data for the 101Sn isotope is required for nuclear shell model studies to be carried out in this region. Since there is not enough experimental data in the literature, different approaches are used for the obtaining spes for the region such as using the hole excitation spectrum in 131Sn or using the lightest and closest isotope 107Sn which figures the model space orbitals. In this work, we have performed second order polynomial fits of the tree single-particle states s1/2, d3/2 and h11/2 in the light Sn isotopes up to 113Sn and 115Sn which are not determined yet experimentally. By an extrapolation toward light Sn isotopes, we can obtain the excitation energies of all the single-particle states in 101Sn. Subsequently, neutron spes of the model space orbitals are defined. Shell model calculations for even and odd 102-107Sn isotopes are carried out using the new interactions and the results are compared with the experimental data and results obtained using the widely used interaction sn100pn.