Comparison of light and heavy isobars obtained in the ternary fission of \(^{260}\text {Fm}\) isotope in the equatorial and collinear geometries

This comprehensive study has addressed the various geometrical arrangements of three emitted fragments in ternary fission. The effect of the isobaric property on quantities of ternary fission has also been investigated. In order to measure the isobaric effect in ternary fission, the ternary fission of \(^{260}\text {Fm}\) isotope accompanied by \(^{18}\text {O}\), \(^{18}\text {F}\) light and \(^{68}\text {Zn}\), \(^{68}\text {Ga}\) heavy isobars are studied. For each fixed charged fragment (\(\text {FCF}\)), combinations with the lower driving potentials \({(V-Q)}\) are selected for further analysis. The Q-value, driving potential (\({V-Q)}\), barrier penetration probability (P), relative yield and decay constant (\(\lambda \)) of the ternary fission for each combination of every FCF considering a potential consisting Coulomb and proximity potentials based on the Wentzel–Kramers–Brillouin (\(\text {WKB)}\) approximation in the equatorial and collinear geometries are calculated. To investigate the isobaric effects, the results for even–even \(^{18}\text {O}\) are compared with the results of odd–odd \(^{18}\text {F}\) isobars as well as the even–even \(^{68}\text {Zn}\) and odd–odd \(^{68}\text {Ga}\) isobars. It is interesting to get close results for two different isobars. Calculated yields for each FCF were tabulated and plotted versus mass number of the fragments for a detailed analysis. Comparison of the calculated results for each FCF for the same isotope through three fragment geometries, namely the equatorial and collinear, indicating that for light fixed fragment the equatorial geometry is suitable and collinear geometry is an appropriate choice for heavy fixed fragments.