Relevance of a Weakly Bound Core Nucleus in the Breakup of a Weakly Bound System

The breakup cross sections of the \(^{30}\)F and \(^{31}\)Ne systems are investigated with the aim of identifying a potential effect of the weakly bound \(^{29}\)F core nucleus of the \(^{30}\)F system. To test the dependence of the results on the core-target interaction, a double folding potential is constructed considering four different nucleon-nucleon interactions. It is found that these interactions produce equivalent results in both reactions. Probably it is the first time that some of these interactions are used in breakup calculations. It is also reported that irrespective of the type of nucleon-nucleon interaction, the breakup cross sections in both reactions are qualitatively similar. A marginal quantitative gain in the case of the \(^{31}\)Ne system can be attributed to its slightly larger dipole electric response function. This could suggest that the breakup of a weakly bound core nucleus following the primary breakup of its parent nucleus may not be feasible without any secondary interaction involving the core nucleus. A detailed study of knockout reactions, where the knocked-out nucleon(s) could strike the core nucleus, may elucidate the role of a weakly bound core nucleus in nuclear reactions.