Phenomenological barrier parameters for total reaction cross section

Abstract

A phenomenological formula for total reaction cross section is introduced for reactions induced by three types of projectiles. The formula is based on Wong’s formula in which, the barrier parameters are calculated from the Bass, Aage Winther and the Akyuz Winther potentials. For the reactions studied, we find that a uniform correction of the barrier parameters can account for the total reaction cross section satisfactorily. An unusually large deviation of the barrier parameters is noticed for the reaction $${}^{8}\text{B}\,+\,{}^{58}\text{Ni}$$ . Arguments are given that most likely the radius of the proton halo nucleus $${}^{8}\text{B}$$ is not well accounted by the above potentials and hence, an increase in the effective radius of $${}^8\text{B}$$ is proposed. Analysis is also presented for the reaction $${}^{11}\text{Li}\,+\,{}^{208}\text{Pb}$$ by making the assumption that its reduced total reaction cross section lies on the same trajectory as that for other halo reactions.