pISSN 0374-4914 eISSN 2289-0041

## Research Paper

New Phys.: Sae Mulli 2021; 71: 249-254

Published online March 31, 2021 https://doi.org/10.3938/NPSM.71.249

## Relativistic Dirac Analyses of Polarized Proton Scatterings from Sn isotopes

Ho-Seong LIM, Sugie SHIM*

Department of Physics, Kongju National University, Gongju 32588, Korea

Correspondence to:shim@kongju.ac.kr

Received: December 11, 2020; Revised: January 12, 2021; Accepted: January 12, 2021

### Abstract

Relativistic Dirac phenomenological analyses are done employing an optical potential model and the collective model for 800-MeV polarized proton scatterings from Sn isotopes, $^{116}$Sn and $^{124}$Sn. Lorentz covariant scalar and time-like vector optical potential parameters using the Woods-Saxon geometry and the deformation parameters are determined to reproduce the experimental data phenomenologically by solving the Dirac coupled channel equations employing a computer code and the results obtained in the Dirac phenomenological calculations are compared with those obtained in the non-relativistic calculations. The Dirac equation is reduced to a Schr\"{o}dinger-like second-order differential equation to get the effective central potentials and the effective spin-orbit optical potentials and the effective potentials are analyzed by considering the mass dependence. The first-oder rotational collective model is used to accomodate the low-lying excited states that belong to the ground state rotational band at the axially-symmetric nuclei, Sn isotopes, and the optical potential parameters and the deformation parameters obtained by using Dirac phenomenological calculations are analyzed by considering the mass dependence.

Keywords: Dirac analysis, Collective model, Optical potential model, Proton inelastic scattering