Semiclassical treatment of fusion processes in collisions of weakly bound nuclei

Abstract

We describe a semiclassical treatment of nuclear fusion reactions involving weakly bound nuclei. In this treatment, the complete fusion probabilities are approximated by products of two factors: a tunneling probability and the probability that the system is in its ground state at the strong absorption radius. We investigate the validity of the method in a schematic two-channel application, where the channels in the continuum are represented by a single resonant state. Comparisons with full coupled-channels calculations are performed. The agreement between semiclassical and quantal calculations isquite good, suggesting that the procedure may be extended to more sophisticated discretizations of the continuum.

arXiv comment11 pages, 5 figures

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Cited by in corpus (3)

• Coupled-channels calculations for nuclear reactions: from exotic nuclei to superheavy elements
• Semiclassical calculations of complete and incomplete fusion in collisions of weakly bound nuclei
• Theoretical treatments of fusion processes in collisions of weakly bound nuclei