Systematic of fusion incompleteness in reactions induced by α cluster projectiles

Abstract

In order to investigate the systematic of fusion incompleteness in reactions induced by $\ensuremath{\alpha}$ cluster projectiles, a detailed study was carried out using the $^{20}\mathrm{Ne}+^{165}\mathrm{Ho}$ system at energies above the barrier. Measurements of the excitation function (EF) of the observed evaporation residues (ERs) were carried out by employing the offline characteristic $\ensuremath{\gamma}$-ray detection method. The EFs of the ERs populated through $xn/pxn$ channels were found to be in good agreement with the prediction of the statistical model code pace4, whereas the EF of the ERs populated through the $\ensuremath{\alpha}$ emitting channels shows an enhancement over the pace4 prediction. The degree of fusion incompleteness in the $^{20}\mathrm{Ne}+^{165}\mathrm{Ho}$ reaction is estimated by comparing the fusion EF with coupled channels calculations and the extracted fusion function with the universal fusion function. The influence of input angular momentum on fusion reaction dynamics is explored in light of the sum-rule model. An attempt has also been made to examine the dependence of incomplete fusion probability on various entrance channel parameters.