Effect of double spin-orbit parameters of spin-orbit strength in reactions involving spherical-prolate, spherical-oblate, oblate-prolate and oblate-oblate configurations

Abstract

The present work is carried out to see the role of double spin-orbit parameters (W1 and W2) on reactions having spherical-prolate, spherical-oblate, oblate-prolate and oblate-oblate configurations. For the study, semi-classical Skyrme energy density formalism is used by employing SkIx (x=2,3,4) and SAMi Skyrme forces. The calculations suggest that the presence of double spin-orbit strength imparts significant influence on spin-dependent potential (VJ) as maximum barrier height of VJ (VJB) is observed with SAMi force (W1≠W2) and minimum with SkI2 (W1=W2) i.e., VJB(SAMi)>VJB(SkI4)>VJB(SkI3)>VJB(SkI2). The maxima and minima in VJB are further related to the contribution from the isoscalar and isovector parts of the spin-orbit potential. As far as shape of projectile and(or) target is concerned, the higher VJB is obtained for oblate-prolate configuration and lower when spherical-prolate configuration is used. The chosen Skyrme forces also modify the fusion barrier height VB of different target-projectile combinations in the similar way as the spin-orbit barrier height (VJB) does. These Skyrme forces are further applied to address the experimental fusion excitation functions and fusion barrier distributions of the considered reacting partners. The contribution of VJ is also estimated in fusion cross-section of considered reactions.