Systematic study of the isotopic dependence of fusion dynamics for neutron- and proton-rich nuclei using a proximity formalism

TL;DR

This study systematically analyzes how isotopic variations affect fusion barrier characteristics and cross sections in neutron- and proton-rich nuclei using multiple proximity potentials, revealing non-linear trends in barrier properties and linear trends in fusion cross sections.

Contribution

It extends previous work to 125 isotopic systems, providing a comprehensive analysis of isotopic dependence in fusion dynamics with multiple potential models.

Findings

Barrier heights and positions vary non-linearly with N/Z ratio.

Fusion cross sections depend linearly on N/Z ratio.

Different potential models produce consistent trends.

Abstract

The behaviors of barrier characteristics and fusion cross sections are analyzed by changing neutron over wide range of colliding systems. For this purpose, we have extended our previous study (Eur. Phys. J. A \textbf{48}, 21 (2012), it is devoted to the colliding systems with neutron-rich nuclei) to 125 isotopic systems with condition of $0.5\leq N/Z \leq 1.6$ for their compound nuclei. The AW 95, Bass 80, Denisov DP and Prox. 2010 potentials are used to calculate the nuclear part of interacting potential. The obtained results show that the trend of barrier heights $V_B$ and positions $R_B$ as well as nuclear $V_N$ and Coulomb $V_C$ potentials (at $R=R_B$) as a function of ($N/Z-1$) quantity are non-linear (second-order) whereas the fusion cross sections follow a linear-dependence.