A new technique to determine fusion barrier heights using proximity potentials

Raj Kumari,Aditi Toshniwal,C Simenel,N Madhavan,K.E Rehm,D.J Hinde,P.R.S Gomes,A Navin

doi:10.1051/epjconf/20158600022

Abstract

We develop a new technique to calculate fusion barrier heights of any fixed target reaction series. We calculate the barrier heights for the fusion reactions of 119 Sn and 197 Au targets using this technique. This technique is simple and very useful for estimating the fusion barrier heights for those reactions for which empirical values are not available. A formula is derived by performing theoretical calculations using different versions of proximity potential. Using this formula, we can predict the barrier height for the fusion reaction of any projectile with 119 Sn or 197 Au target using the empirical barrier height for the fusion reaction of same projectile with 62 Ni target. In order to check the accuracy of this technique, the fusion parameters calculated by this new technique are compared with the fusion parameters calculated by using parameterized formulae presented in a systematic study conducted by using double folding model. the colliding nuclei. The separation between the two col- liding nuclei is related to the internuclear distance between the centers of the colliding nuclei through their nuclear radii. So we need accurate knowledge of nuclear radii. In the present study, we propose a new technique, which can be used to calculate the fusion barrier heights of any fixed target reaction series. For this study, we first compute barrier heights for X + 62 Ni, X + 119 Sn and X + 197 Au reaction series using different versions of proximity potential. Here, X projectile varies from 1 Ht o 59 Co. This study is carried out using proximity potentials PROX 77, PROX 88, PROX 2000, PROX 2000DP, PROX 2010 and MOD-PROX 88.

Highlights

Our understanding of the fusion reactions between the strongly-bound as well as weakly-bound nuclei have been enriched due to the continuous efforts devoted by nuclear community in the field of theory [1,2,3,4,5,6,7,8,9,10] and experiments [11,12,13,14,15]
We propose a new technique, which can be used to calculate the fusion barrier heights of any fixed target reaction series
This study is carried out using proximity potentials Proximity 1977 (PROX 77), Proximity 1988 (PROX 88), PROX 2000, PROX 2000DP, PROX 2010 and MOD-PROX 88

Summary

Introduction

Our understanding of the fusion reactions between the strongly-bound as well as weakly-bound nuclei have been enriched due to the continuous efforts devoted by nuclear community in the field of theory [1,2,3,4,5,6,7,8,9,10] and experiments [11,12,13,14,15]. An accurate knowledge of the total interaction potential is necessary to study various observables like multifragmentation [16,17,18], collective flow [19,20,21] etc. It is well known that the threshold energy required for the fusion to take place cannot be given by the Coulomb barrier alone. In order to calculate the total interaction potential VT (R) = VN(R) + VC(R), the precise knowledge of the nuclear potential VN(R) is required. We propose a new technique, which can be used to calculate the fusion barrier heights of any fixed target reaction series. We first compute barrier heights for X + 62Ni, X + 119Sn and X + 197Au reaction series using different versions of proximity potential. This study is carried out using proximity potentials PROX 77, PROX 88, PROX 2000, PROX 2000DP, PROX 2010 and MOD-PROX 88

Description of Models

Theoretical Study using proximity potentials

Calculations

Derivation

Summary