Effects of Non-Zero Spin in Sub-Barrier Fusion Involving Odd Mass Nuclei: The Case of $^{36}$S + $^{50}$Ti, $^{51}$V
Résumé
A detailed comparative study of the sub-barrier fusion of the two near-by systems ^36S + ^50Ti, ^51V was performed at the National Laboratories of Legnaro (INFN). We aimed to investigate the possible effect of the non-zero spin of the ground state of the ^51V nucleus on the sub-barrier excitation function, and in particular on the shape of the barrier distribution. The comparison of the exctiation functions and barrier distributions highlighted a very similar behavior, down to the level of 20–30 µb. Coupled-channels calculations have been performed including the low energy excitations of both projectile and targets and the results are in very good agreement with the data. This indicates that the low-lying levels in ^51V can be interpreted in the weak-coupling scheme and that the extra proton in the f_7/2 shell does not have a significant influence on sub-barrier fusion.