Brazilian Journal of Physics, cilt.54, sa.1, 2024 (SCI-Expanded)
The neutron single-particle energies (SPEs) in 101Sn are one of the main ingredients needed in nuclear studies in the region around the doubly magic 100Sn nucleus. Due to the lack of experimental data on 101Sn spectrum, the determination of SPEs needed for nuclear structure, reaction, and astrophysics studies is a real challenge. This paper discusses the derivation of the relative SPEs outside the doubly magic 100Sn nucleus using a systematic method. We performed 2nd order polynomial fits for each set of experimental data corresponding to the single-particle states d3/2, h11/2, and s1/2 in light odd tin isotopes. By obtaining the single-particle spectrum of 101Sn, neutron SPEs of the model space orbitals are defined. Shell model calculations for even and odd 102−107Sn isotopes are carried out usin g the new interactions, fit1 and fit2. The energy spectra obtained from fit1 and fit2 are presented in comparison with the available experimental data and the results from the other interactions (well-known interaction sn100pn, pc1 obtained by Hartree–Fock method, and set2 obtained by artificial neural network method). Among them, χ2 test confirms that fit1, fit2, and set2 are the best to reproduce the experimental spectra of light tin isotopes.