Decay Rate of Triaxially-Deformed Proton Emitters

Abstract

The decay rate of a triaxially-deformed proton emitter is calculated in a particle-rotor model, which is based on a deformed Woods-Saxon potential and includes a deformed spin-orbit interaction. The wave function of the $I=7/2^{-}$ ground state of the deformed proton emitter ${}^{141}$Ho is obtained in the adiabatic limit, and a Green's function technique is used to calculate the decay rate and branching ratio to the first excited 2${}^{+}$ state of the daughter nucleus. Only for values of the triaxial angle $\gamma$ $<5^{\circ }$ is good agreement obtained for both the total decay rate and the 2${}^{+}$ branching ratio.

arXiv comment19 pages, 4 figures

References in corpus (4)

• Nuclear Ground-State Masses and Deformations
• Fine Structure in the Decay of Deformed Proton Emitters: Non-adiabatic Approach
• Theoretical description of deformed proton emitters: nonadiabatic coupled-channel method
• Role of dynamical particle-vibration coupling in reconciliation of the $d_{3/2}$ puzzle for spherical proton emitters

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