Analysis of pairing phase transition in Sn-isotopes within semiclassical approach

Abstract

We demonstrate that pairing phase transition (superfluid to normal) can be described quite generally in terms of the thermodynamical properties after verifying the obtained level densities with the available experimental data for [Formula: see text]- isotopes. Periodic-orbit theory conveniently connects the oscillatory part of level density to the underlying classical periodic orbits and hence, leads to the shell effects in the single-particle level density. Such methods incorporated with pairing effects can be used effectively to study the phase transitions in [Formula: see text]-isotopes. In addition to this, an interplay between pairing correlations and the shell effects has been understood by analyzing the results obtained for the critical temperatures and shell structure energies for [Formula: see text] isotopes. A relation between variation in critical temperatures caused by shell effects and the shell structure energies determined with and without pairing effects has been established. Furthermore, the systematics of the heat capacity (giving a clear signature of pairing phase transition) as function of temperature for these nuclei are investigated as well.

Prediction of half-lives of even–even superheavy nuclei

“…'s and hence, the disintegration energies to calculate α-decay half-lives. Being non perturbative in nature, these techniques have been employed many times in the past to understand various aspects of nuclear structure viz shell evolution [30,70,75,[88][89][90][91][92][93][94][95][96][97]. From our analysis, we have found that FRDM and our semiclassical method produce disintegration energies of same order.…”

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].…”