Mathematical analysis of isobaric decay chain in alpha particle induced reactions

Abstract

A detailed mathematical formalism is developed from the first principles, to separate out the fractional contributions of the cross-section σ g and σ p for the production of the two isobaric precursor nuclei- grand parent and parent, respectively, to the cross-section σ d for the formulation of the residual nucleus of interest. The analytical work of separating out such contributions gives a meaningful picture to the comparison with the theoretical predictions of hybrid model, using the initial excition number n 0 = 4(4 p0 h). © 1993 the Indian Academy of Sciences.