Nuclear Rainbow of Core-Symmetric Systems

The nearside-farside (NF) decomposition method developed originally by Fuller for elastic scattering of a nonidentical \AA 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 $\theta_{\rm c.m.}=90^\circ$. 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 \CC, \OC, and \CCC 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.