Probing of incomplete fusion dynamics in \({}^{{14}}\text {N} + {}^{{124}}\text {Sn}\) system and its correlation with various entrance channel effects

Measurements of excitation functions were done for the evaporation residues populated in $${}^{{14}}\text {N}+{}^{{124}}\text {Sn}$$ system at low energy. The present analysis shows the appearance of incomplete fusion by the breakup of non- $$\upalpha $$ cluster structured projectile $$^{{14}}\text {N}$$ into $$\upalpha + {}^{{10}}\text {B}$$ . A correlation between the combined effects of total asymmetry and $$\text {Z}_{\mathrm {P}}\text {Z}_{\mathrm {T}}$$ has been studied through three new parameters total asymmetry ( $$S_{{ TAS}}$$ ), Coulomb asymmetry parameters; $$Z_{P} Z_{T} /S_{{ TAS}} $$ and $$Z_{P} Z_{T} .S_{{ TAS}} $$ . These new parameters were found more sensitive and effective to encounter the combined effects of coulomb interactions and entire asymmetry effect of the system on incomplete fusion dynamics. The complete fusion and total fusion cross-sections of two systems $${}^{{14}}\text {N}+{}^{{124}}\text {Sn}$$ and $${}^{{16}}\text {O}+{}^{124}\text {Sn}$$ have been reduced using two different standard reduction procedures, which shows that the incomplete fusion probability for reactions induced by projectile $${}^{{16}}\text {O}$$ is generally larger than $${}^{{14}}\text {N}$$ induced reactions. The experimental fusion functions are found to be suppressed as compared to universal fusion function for systems $${}^{{14}}\text {N}+{}^{{124}}\text {Sn}$$ and $${}^{{16}}\text {O}+{}^{{124}}\text {Sn}$$ . The different values of suppression factor for projectiles $${}^{{14}}\text {N}$$ and $${}^{{16}}\text {O}$$ indicate that the probability of $$\upalpha $$ -breakup is different for these projectiles. Further, the total fusion functions for systems $${}^{{14}}\text {N}+{}^{{124}}\text {Sn}$$ and $${}^{{16}}\text {O}+{}^{{124}}\text {Sn}$$ agree well with the universal fusion function. However, the present results clearly show that the shell closure of nuclei also affect the low energy incomplete fusion dynamics along with the structure of projectile.