Abstract
The fission-fragment mass distribution is analysed for the 208Pb(18O, f) reaction within the quantum-mechanical fragmentation theory (QMFT). The reaction potential has been calculated by taking the binding energies, Coulomb potential and proximity potential of all possible decay channels and a stationary Schrodinger equation has been solved numerically to calculate the fission-fragment yield. The overall results for mass distribution are compared with those obtained in experiment. Fine structure dips in yield, corresponding to fragment shell closures at Z = 50 and N=82, which are observed by Bogachev et al., are reproduced successfully in the present calculations. These calculations will help to estimate the formation probabilities of fission fragments and to understand many related phenomena occurring in the fission process.
Highlights
Fission-fragment mass distribution is a significant observable while studying the fission process
To take care of the energy carried by the neutrons, here we introduce the concept of residual compound nucleus (RCN ) and the energy of RCN must be ER∗ CN = EC∗ N − xemean
The role of deformation has been explicitly included as we use experimental values of binding energies to determine the reaction potential V (η) given by eq (3)
Summary
Fission-fragment mass distribution is a significant observable while studying the fission process. Its characteristics become important while modelling fission-fragment yields. In this paper we have analysed the 208Pb(18O, f ) fission process by calculating the total reaction potential. The total reaction potential is the leftover potential of the compound nucleus which is not taken away by the fission fragments. For a more probable fission reaction, this leftover potential should be minimum. Using this potential, a stationary Schrodinger equation is solved numerically to estimate the fission-fragment yield. A description of the reaction potential and formalism to calculate the relative yields of fission fragments within the quantum-mechanical fragmentation theory (QMFT) is given in sect
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