Impact of spin-orbit density dependent potential in heavy ion reactions forming Se nuclei

Abstract

The Skyrme energy density formalism is employed to explore the effect of spin-orbit interaction potential by considering a two nucleon transfer process via various entrance channels such as 23Na + 49V , 25Mg + 47Ti , 27Al + 45Sc , 29Si + 43Ca and 31P + 41K , all forming the same compound system 72Se $ ^{\ast}$ , using both spherical as well as quadrupole deformed ( $ \beta_{2}$ nuclei. For spherical nuclei, the spin-orbit density part $ V_{J}$ of nuclear potential remains unaffected with the transfer of two nucleons from the target to the projectile, however, show notable variation in magnitude after inclusion of deformation effects. Likewise, deformations play an important role in the spin-orbit density independent part $ V_{P}$ , as the fusion pocket start appears, which otherwise diminish for the spherical nuclei. Further, the effect of an increase in the N/Z ratio of Se is explored on $ V_{J}$ as well as $ V_{P}$ and results are compared with transfer channels. In addition to this, the role of double spin-orbit parameters ( $ W_{0}$ and $ W'_{0}$ with relative contribution of the isoscalar and isovector parts of spin-orbit strength is explored in view of SkI2, SkI3 and SkI4 Skyrme forces. Beside this, the decay path of 72Se $ ^{\ast}$ nucleus formed in 27Al + 45Sc reaction is investigated within the framework of dynamical cluster decay model (DCM), where the nuclear proximity potential is obtained by both Skyrme energy density formalism (SEDF) and proximity pocket formula. The fusion hindrance in the 27Al + 45Sc reaction is also addressed via the barrier lowering parameter $ \Delta V_{B}$ . Finally, the contribution of spin-orbit density dependent interaction potential is estimated for the 27Al + 45Sc reaction using single ( $ W_{0}$ or $ W_{0}'$ and double spin-orbit parameters ( $ W_{0}$ and $ W_{0}'$ .