The systematic study of the influence of neutron excess on the fusion cross sections using different proximity-type potentials

TL;DR

This study systematically investigates how neutron excess influences fusion barrier characteristics and cross sections across various isotopic nuclear systems using proximity potentials.

Contribution

It provides a comprehensive analysis of the linear relationships between neutron excess and fusion barrier properties and cross sections using multiple proximity potential models.

Findings

Barrier height decreases linearly with neutron excess.

Barrier position increases linearly with neutron excess.

Fusion cross sections increase linearly with neutron excess.

Abstract

Using different types of proximity potentials, we have examined the trend of variations of barrier characteristics (barrier height and its position) as well as fusion cross sections for 50 isotopic systems including various collisions of C, O, Mg, Si, S, Ca, Ar, Ti and Ni nuclei with $1\leq N/Z < 1.6$ condition for compound systems. The results of our studies reveal that the relationships between increase of barrier positions and decrease of barrier heights are both linear with increase of $N/Z$ ratio. Moreover, fusion cross sections also enhance linearly with increase of this ratio.