A comparative decay analysis of $^{80}\mathrm{Zr}^{*}$, $^{80}\mathrm{Sr}^{*}$, and $^{80}\mathrm{Kr}^{*}$ isobaric nuclear systems formed in $^{40}\mathrm{Ca}+^{40}\mathrm{Ca}$, $^{16}\mathrm{O}+^{64}\mathrm{Zn}$, and $^{32}\mathrm{S}+^{48}\mathrm{Ca}$ reactions, respectively, has been conducted to investigate the $N/Z$ dependence of different decay modes within a dynamical cluster-decay model based on the collective clusterization approach of quantum mechanical fragmentation theory. The comparative contributions of the emission of light particles (LPs), intermediate mass fragments (IMFs), and symmetric mass fragments (SMFs) in the total fusion cross-sections, ${\ensuremath{\sigma}}_{\mathrm{fusion}}$, have been calculated. The results show that LPs have a major contribution to ${\ensuremath{\sigma}}_{\mathrm{fusion}}$ in the decay of all three compound nuclei (CN). The percentage contribution of LPs is larger for CN with higher $N/Z$ ratio. The IMFs and SMFs cross-section are comparatively low in the total ${\ensuremath{\sigma}}_{\mathrm{fusion}}$ but their emissions are in competition in the decay process. The results show that the shape of mass distribution evolves from symmetric to asymmetric with increasing $N/Z$ ratio. The yield around SMFs is greater for the system having the lowest $N/Z$ ratio. This may be attributed to higher ${P}_{0}$ for the symmetric exit channel, particularly at higher $\ensuremath{\ell}$ values. The calculated fusion cross-sections for all three CN are in good agreement with the experimental data.
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