Fine structure of ²¹¹ Bi α -decay from Coriolis coupling

Abstract

The α-decay is considered as a superasymmetric fission process. A fragmentation path is obtained by mean of the least action principle in a configuration space spanned by five degrees of freedom. The potential barrier is obtained within the macroscopic-microscopic model while the effective mass and the momentum of inertia within the cranking approach. The single-particle wave functions and the single-particle energies are supplied by the Woods-Saxon two-center shell model. The fine structure of 211 Bi α-decay is treated within a set of generalized time-dependent pairing equations that takes into account the Landau-Zener effect and the Coriolis coupling. A low value of the internuclear collective velocity was used. The theoretical results showed a good agreement with the experimental data. Essentially, in the framework of the formalism, the fine structure for the 211 Bi is due to the occurrence of the Coriolis coupling.

Microscopic description of α-decay as super-asymmetric fission

“…Therefore, it can be predicted that β-vibrational states [44,45] are produced in the second potential well, explaining some anormal transition states observed experimentally [46,47] The microscopic equations of motion ( 2) and (3) are resolved along the superasymmetric fission path for the ↵-decay of the two parent nuclei as detailed in Refs. [24,27]. The Coriolis couplings and the single particle energies were determined within the two center Woods-Saxon wave functions.…”

“…The trial wave functions |' IM i are considered as a superposition of seniority-1 Bogoliubov wave functions. After some algebras, the equations of motion follow [24,27]:…”