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.