Effects of resonances on 6,7Li+209Bi reactions at energy above the Coulomb barrier

Abstract

In this study, we look into the impact of resonances on the ${}^{6,7}\mathrm{Li}{+}^{209}\mathrm{Bi}$ reactions at energies over the Coulomb barrier. The main purpose is to apply the Continuum Discretized Coupled Channels (CDCC) approach to analyze how resonant and non-resonant states affect angular distributions differentials and integrated breakup cross sections when both states are included from the coupling matrix elements. Our findings reveals that at lower angles ($\theta \le {50}^{\circ }$), non-resonant breakup cross sections are dominants while the resonant breakup cross sections at larger angles (($\theta \ge {50}^{\circ }$),) are prevailing for ${}^6\mathrm{Li}{+}^{209}\mathrm{Bi}$ reaction. This is also observed for the ${}^7\mathrm{Li}{+}^{209}\mathrm{Bi}$ reaction at greater angles ($\theta \ge {50}^{\circ }$). Our results are in agreement with the Full integrated breakup cross sections and experimental data for ${}^6\mathrm{Li}{+}^{209}\mathrm{Bi}$ reaction. This result is consistent with experimental data, even if it overestimates at incident energy below $E_{cm}=35\mathrm{MeV}$ for the ${}^7\mathrm{Li}{+}^{209}\mathrm{Bi}$ reaction. We conclude that these resonant and non-resonant states have an impact on the integrated breakup cross sections and the differential angular distributions.