Semiclassical level density parameter with collective enhancements in nuclei

Abstract

In this work, we calculate the level density parameter for several nuclei by deploying the semiclassical trace formula for spherically symmetric harmonic oscillator potential with spin-orbit interactions, which describes the quantum shell effects in terms of the classical periodic orbits. With the usage of recently proposed Laplace like formula of level density parameter by Canbula et al., the effects of collective rotations and vibrations as well as deformations in nuclei are incorporated. The comparison of our results with the experimental ones show a good agreement. Later on, the study is also extended to the calculation of nuclear level density and survival probability in several superheavy nuclei (SHN).

Probable decay modes of even–even superheavy nuclei

“…Semiclassical methods have been extensively used in the past to describe various physical phenomena because of their non-perturbative nature [46][47][48][49][50][51][52][53][54][55][56][57][58][59]. We have determined the α-decay half-lives of even-even SHN whose atomic numbers lie in 118 Z 126 regime employing interaction potential involving Coulomb and proximity potentials using semiclassically obtained Q α -values as an input [60].…”