Comparative analysis of s-wave and p-wave breakups in 37Mg +208Pb reaction

Abstract

A comparative study of [Formula: see text]-wave and [Formula: see text]-wave breakups in the [Formula: see text] reaction around the Coulomb barrier is presented. The elastic scattering, breakup and reaction cross-sections, corresponding to the three [Formula: see text], [Formula: see text] and [Formula: see text] possible single-particle configurations in the [Formula: see text] ground state, calculated with two different [Formula: see text] ground-state binding energies, namely 0.22 and 0.49[Formula: see text]MeV are analyzed. As in the breakup of other neutron-halo systems such as [Formula: see text], it is found that for all three ground-state configurations, couplings to the breakup channels suppress the Coulomb–nuclear interference peak in the elastic scattering cross-section. It is shown that the breakup through [Formula: see text]-wave ground state is dominated by couplings to continuum [Formula: see text]-waves, whereas the breakup through [Formula: see text]-wave ground state, is largely dominated by couplings to continuum [Formula: see text]-wave. Substantially larger [Formula: see text] ground state total, Coulomb and nuclear breakup cross-sections than their [Formula: see text] and [Formula: see text] ground states counterparts are obtained. This is understood to mainly originate from a larger electric dipole response function of the transition from [Formula: see text] ground state to the continuum, and from the fact that the Coulomb breakup cross-section is directly proportional to this function. In conclusion, the breakup of [Formula: see text] nucleus exhibits a similar breakup behavior as other one-neutron loosely bound systems. The results presented in this paper may provide some guidance for experimentalists to analyze possible future experimental data.