A Study of Systematic Variation of Asymmetric Parameter on NpNn in Nuclear Mass Region

Abstract

The paper examines even-even nuclei's collective nuclear structure through investigation of essential
observables under proton and neutron number multiplication (NpNn). An analysis of the asymmetry
parameter (γ) variation occurs across different (N, Z) regions with emphasis on nuclei that fall within N =
28–50 and Z = 28–50 as well as N = 40–66 and Z = 40–50. The research findings show intricate relationships
controlling the collectivity in nuclei and their shapes because NpNn follows a continuous trend in which
specific patterns appear linked to the shell structure's defining magic numbers. Nuclei display behavior which
appears similar to both spherical U(5) and axially deformed SU(3) patterns while total deformation shapes
their configuration. This research contributes essential knowledge regarding nuclear interactions while
developing insights about nuclear shape evolution for use as a base in future studies of nuclear physics and
nuclear structure principles.