Dirac Phenomenological Analyses of 1.047 GeV Proton Inelastic Scatterings from $^{62}$Ni and $^{64}$Ni

TL;DR

This paper uses a relativistic Dirac coupled channel approach with an optical potential model to analyze 1.047 GeV proton inelastic scatterings from Ni isotopes, revealing the importance of multistep excitations and matching deformation parameters with nonrelativistic results.

Contribution

It introduces a relativistic Dirac formalism for analyzing proton inelastic scattering from Ni isotopes, emphasizing multistep excitation effects and comparing deformation parameters with nonrelativistic models.

Findings

Multistep excitation via 2+ state is crucial for 4+ state excitation.

Calculated deformation parameters agree with nonrelativistic results.

Effective optical potentials depend on mass number.

Abstract

Unpolarized 1.047 GeV proton inelastic scatterings from Ni isotopes, $^{62}$Ni and $^{64}$Ni are analyzed phenomenologically employing an optical potential model and the first order collective model in the relativistic Dirac coupled channel formalism. The Dirac equations are reduced to the Schr\"{o}dinger-like second-order differential equations and the effective central and spin-orbit optical potentials are analyzed by considering mass number dependence. The multistep excitation via $2^+$ state is found to be important for the $4^+$ state excitation in the ground state rotational band at the proton inelastic scatterings from the Ni isotopes. The calculated deformation parameters for the 2$^+$, the 4$^+$ states of the ground state rotational band and the first 3$^-$ state are found to agree pretty well with those obtained in the nonrelativistic calculations.