Enhancement of Alpha Decay due to Medium Effects

Abstract

We study the effect of medium on radioactive alpha decay and other similar decays. The initial state in these type of decays is a quasi-bound state with energy greater than zero. Such a state has very large amplitude in the nuclear region and is exponentially suppressed at larger distances. The decay rate of such states is known to decrease rapidly with decrease in the Q-value. Here we study such a decay within a medium. We assume a simple spherically symmetric repulsive potential model for the medium. This models the cumulative effect of all nuclei in the medium which at short distances present repulsive Coulomb interaction. We find that as the Q-value becomes very small, the medium effects lead to a substantial enhancement in rate. In contrast, for large Q-values, the medium effects are negligible. We briefly comment on application to real systems and the experimental implications of this result.