Decay analysis of compound nuclei with mass A$\sim 30-200$ formed in the reactions involving loosely bound projectiles

TL;DR

This paper analyzes the decay of compound nuclei formed in reactions with loosely bound projectiles using the dynamical cluster decay model, revealing consistent parameters across different reactions and energies.

Contribution

It introduces a unified empirical parameter, ΔR^{emp}, that accurately predicts fusion cross sections for various loosely bound projectile reactions.

Findings

ΔR^{emp} parameter fixed for all reactions with same projectile and energy

Modified interaction barrier heights ΔV_{B}^{emp} are similar at maximum angular momentum

The model treats light particles, IMFs, and fission fragments on equal footing

Abstract

The dynamics of the reactions forming compound nuclei using loosely bound projectiles is analysed within the framework of dynamical cluster decay model (DCM) of Gupta and Collaborators. We have analysed different reactions with $^{7}Li$, $^{9}Be$ and $^{7}Be$ as neutron rich and neutron deficient projectiles, respectively, on different targets at the three $E_{lab}$ values, forming compound nuclei within the mass region A$\sim 30-200$. The contributions of light particles LPs ($A\le4$) cross sections $\sigma_{LP}$, energetically favoured intermediate mass fragments IMFs ($5 \le A_2 \le 20$) cross sections $\sigma_{IMF}$ as well as fusion-fission $\it{ff}$ cross sections $\sigma_{ff}$ constitute the $\sigma_{fus}$ (=$\sigma_{LP}$+$\sigma_{IMF}$+$\sigma_{ff}$) for these reactions. The contribution of the emitted LPs, IMFs and ff fragments is added for all the angular momentum upto the $\ell_{max}$ value, for the resepctive reactions. Interestingly, we find that the $\Delta R^{emp}$, the only parameter of model and uniquely fixed to address the $\sigma_{fus}$ for all other reactions having $\it same$ loosely bound projectile at the chosen incident energy. It may be noted that the dynamical collective mass motion of preformed LPs, IMFs and ff fragments or clusters through the modified interaction potential barrier are treated on parallel footing. We see that the values of modified interaction barrier heights $\Delta V_{B}^{emp}$ for such reactions are almost of the same amount specifically at the respective $\ell_{max}$ values.