Isospin dependence of reactions $^{48}$Ca+$^{243-251}$Bk

TL;DR

This paper investigates the isospin dependence of fusion reactions involving calcium-48 and various berkelium isotopes using a two-step model, analyzing residue cross sections to optimize synthesis of element 117.

Contribution

It introduces a two-step fusion model combined with statistical evaporation analysis to study isospin effects in $^{48}$Ca-induced reactions.

Findings

Identifies optimal reactions for synthesizing element 117.

Analyzes residue cross sections across different neutron channels.

Provides insights into the fusion process stages.

Abstract

The fusion process of $^{48}$Ca induced reactions is studied with the two-step model. In this model, the fusion process is devided into two stages: first, the sticking stage where projectile and target come to the touching point over the Coulomb barrier from infinite distance, and second, the formation stage where the di-nucleus formed with projectile and target evolve to form the spherical compound nucleus from the touching point. By the use of the statistical evaporation model, the residue cross sections for different neutron evaporation channels are analyzed. From the results, optimum reactions are given to synthesize $Z$ = 117 element with $^{48}$Ca induced reactions.