Mathematical analysis of isobaric decay chain in alpha particle induced reactions
S Mukherjee N L Singh J Rama Rao
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A detailed mathematical formalism is developed from the first principles, to separate out the fractional contributions of the cross-sectionσg andσp for the production of the two isobaric precursor nuclei- grand parent and parent, respectively, to the cross-sectionσd 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 numbern0 = 4(4p0h).
S Mukherjee1 N L Singh1 2 J Rama Rao1 3
Volume 97, 2023
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