Astrophysical S-factor for deep sub-barrier fusion reactions of light nuclei

Abstract

The cross sections for deep sub-barrier fusion reaction of light nuclei are calculated within the theoretical framework of selective resonant tunneling model. In this model, assumption of a complex square-well nuclear potential is invoked to describe the absorption inside a nuclear well. The theoretical estimates for these cross sections agree well with the experimentally measured values. The features of the astrophysical S-factor are derived in terms of this model. Present formalism appears to be particularly useful for the low energy resonant reactions between two charged nuclei.