Effect of deformation and orientation on spin orbit density dependent nuclear potential

Rajni Mittal,Manoj K Sharma,Raj Kumar,E.C Simpson,K.J Cook,C Simenel,I.P Carter

doi:10.1051/epjconf/201716300038

Rajni Mittal, Manoj K Sharma + Show 5 more

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Role of deformation and orientation is investigated on spin-orbit density dependent part VJ of nuclear potential (VN =VP +VJ ) obtained within semi-classical Thomas Fermi approach of Skyrme energy density formalism. Calculations are performed for 24-54 Si+30 Si reactions, with spherical target 30 Si and projectiles 24-54 Si having prolate and oblate shapes. The quadrupole deformation β 2 is varying within range of 0.023 ≤ β 2 ≤0.531 for prolate and -0.242 ≤ β 2 ≤ -0.592 for oblate projectiles. The spin-orbit dependent potential gets influenced significantly with inclusion of deformation and orientation effect. The spin-orbit barrier and position gets significantly influenced by both the sign and magnitude of β 2 -deformation. Si-nuclei with β2 2 2 >0. The possible role of spin-orbit potential on barrier characteristics such as barrier height, barrier curvature and on the fusion pocket is also probed. In reference to prolate and oblate systems, the angular dependence of spin-orbit potential is further studied on fusion cross-sections.

Highlights

The aspect of nuclear deformations has been continually probed to analyze the fusion processes
When the nuclear deformations are incorporated in theoretical calculations, it is inherently necessary to account for the relative orientation of the projectile and the target in the fusion dynamics
The Skyrme Energy Density Formalism (SEDF) in semiclassical Extended Thomas Fermi (ETF) method [6] provides a convenient way for calculating the interaction potential between two nuclei

Summary

Introduction

The aspect of nuclear deformations has been continually probed to analyze the fusion processes. When the nuclear deformations are incorporated in theoretical calculations, it is inherently necessary to account for the relative orientation of the projectile and the target in the fusion dynamics. The orientation of the colliding nuclei has a significant effect on the fusion barrier height and on the compactness of the touching configuration. In the Skyrme energy density formalism (SEDF) [5,6,7], the spinorbit dependent (VJ) and spin-orbit independent (VP) potential add up to give the total nuclear potential. Within this approach one can study effect of deformation and orientation on individual contribution of nuclear potential. The contribution of spin-orbit potential in fusion dynamics is appreciable [4]

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