The study of threshold behaviour of effective potential for $^{6}$Li+$^{58,64}$Ni systems

TL;DR

This study investigates the energy-dependent behavior of the effective potential in $^{6}$Li+$^{58,64}$Ni systems through elastic scattering measurements and model analyses, revealing threshold phenomena and isotopic independence.

Contribution

It provides a detailed analysis of the threshold behavior of the effective potential for these systems using phenomenological and hybrid models, highlighting the energy dependence and isotopic effects.

Findings

Energy-dependent behavior of potential strengths consistent with dispersion relations.

Evidence of breakup effects near the barrier.

No significant isotopic dependence in threshold behavior.

Abstract

The elastic scattering for $^6$Li+$^{64}$Ni system was measured in the bombarding energy range of 13 MeV $\leq$ $E_{lab}$ $\leq$ 26 MeV. A phenomenological optical model analysis was performed and the behaviour of the surface strengths of the potential components with decreasing energy was extracted. A further analysis of the measured angular distributions, along with the existing data for $^6$Li+$^{58}$Ni, was performed with two different model potentials - one with the folded potential normalized with a complex factor (OMP1) and the other with a {\it hybrid} potential composed of a renormalized folded real and a phenomenological imaginary (OMP2) potential components - were used in the calculation. All the model potentials predict similar energy dependent behaviour for the interaction potential around the barrier. The observed energy dependence of the strengths of the real and imaginary potentials corroborate with the dispersion relation prediction for both the $^6$Li+$^{64}$Ni and $^6$Li+$^{58}$Ni systems. Though the evidence of breakup is distinct in the energy variation of the potential strengths, close to the barrier the variation is more in the line of conventional threshold anomaly. Also the threshold behaviour of the interaction potential does not indicate any distinct isotopic dependence.