Effect of Nonlocal Potential on the Barrier Penetrability in Alpha Decay

Abstract

In the present paper, the penetrability factor for alpha emission has been calculated from the following standpoint. The barrier for alpha emission is the usual Coulomb field assumed here to be superposed by a nonlocal alpha-nucleus interaction. The static part of the barrier is taken to be the Igo potential and its nonlocal part is assumed to be represented by an approximate delta function.Calculations for the ground-state transitions of all the even-even nuclei have been completed. The results show that the current values of penetrability are too low, and that the inclusion of the nonlocal correction factor increases these local values by more than 50%.

Assessment of nonlocal nuclear potentials in α decay

“…The investigation in Ref. [31] was extended to several even-even nuclei and the author once again found a large increase (∼ 50 %) [32] in the penetration factors due to nonlocality. The author further studied the effects of nonlocality in deformed and rare earth nuclei [33,34] with the inclusion of an exchange term in the nonlocal kernel.…”

“…Before closing the discussions, some comments about one of the earliest investigations of nonlocalities in alpha decay are in order here. In a series of works [31][32][33][34], M. L. Chaudhury studied the effects of nonlocalities in alpha decay of different nuclei. Using an integro-differential equation similar to that of Frahn and Lemmer [35], in Ref.…”