Nuclear Rainbow of Core-Symmetric Systems

TL;DR

This paper extends the nearside-farside decomposition method to analyze nuclear rainbow patterns in core-symmetric systems, revealing insights into optical potentials and nuclear clustering.

Contribution

The authors generalize the NF decomposition method to symmetric and nonidentical core-symmetric systems, enabling detailed analysis of nuclear rainbow phenomena.

Findings

Revealed symmetric interchange of NF components in identical systems.

Demonstrated the method on ${}^{12} ext{C}+{}^{12} ext{C}$, ${}^{16} ext{O}+{}^{12} ext{C}$, and ${}^{13} ext{C}+{}^{12} ext{C}$.

Showed the method's usefulness in probing optical potentials and clustering.

Abstract

The nearside-farside (NF) decomposition method developed originally by Fuller for elastic scattering of a nonidentical nucleus-nucleus system was generalized to study the nuclear rainbow pattern in a symmetric or core-symmetric dinuclear system. It has been shown that the projectile-target identity of an identical system implies a symmetric interchange of the nearside and farside components of elastic scattering amplitude around $\theta_{\mathrm{c.m.}}=90^\circ$. A similar interchange appears also in a nonidentical core-symmetric system due to elastic transfer of cluster or nucleon between two identical cores. The analysis of the ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$, ${}^{16}\mathrm{O}+{}^{12}\mathrm{C}$, and ${}^{13}\mathrm{C}+{}^{12}\mathrm{C}$ systems shows how the generalized NF decomposition method reveals the nuclear rainbow pattern in these systems, which can be helpful in probing the real optical potential and nuclear clustering.