Semiclassical calculations of complete and incomplete fusion in collisions of weakly bound nuclei

Abstract

We use an improved version of the semiclassical method described in Refs. [1,2,3] to evaluate fusion cross sections in collisions of weakly bound nuclei. This version takes into account the static effects of the low breakup threshold, uses better bin states in the discretization of the continuum and avoids the excitation of closed channels. The population of these channels is a consequence of the violation of energy conservation, which is inherent in the semiclassical method. The method is employed to evaluate complete fusion and total fusion cross section in collisions of the weakly bound 6,7Li projectiles with 159Tb and 197Au targets, for which data is available. The overall agreement between theory and experiment is fairly good.

12 pages, 3 figures

References in corpus (5)

• Subbarrier fusion reactions and many-particle quantum tunneling
• Relating breakup and incomplete fusion of weakly-bound nuclei through a classical trajectory model with stochastic breakup
• Influence of projectile <alpha>- breakup threshold on complete fusion
• Fusion of ${}^6$Li with ${}^{159}$Tb} at near barrier energies
• Modelling incomplete fusion dynamics of weakly-bound nuclei at near-barrier energies

Cited by in corpus (6)

• Coupled-channels calculations for nuclear reactions: from exotic nuclei to superheavy elements
• The total reaction cross section of heavy-ion reactions induced by stable and unstable exotic beams: The low-energy regime
• Unraveling the reaction mechanisms leading to partial fusion of weakly bound nuclei
• Complete and incomplete fusion of ${}^7$Li projectiles on heavy targets
• Theoretical analysis of ${}^8$Li + ${}^{208}$Pb reaction and the critical angular momentum for complete fusion
• Semi-classical approaches to heavy-ion reactions: fusion, rainbow, and glory