# Role of dynamical particle-vibration coupling in reconciliation of the $d\_{3/2}$ puzzle for spherical proton emitters

Source: [Role of dynamical particle-vibration coupling in reconciliation of the $d\_{3/2}$ puzzle for spherical proton emitters](<https://www.sota2.com/research/paper/68fa25942c2a3760193b1b26>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T10:49:15.477Z

Authors: K. Hagino

Published: 2001-05-11T02:57:31.000Z

## Abstract

It has been observed that decay rate for proton emission from $d\_{3/2}$ single particle state is systematically quenched compared with the prediction of a one dimensional potential model although the same model successfully accounts for measured decay rates from $s\_{1/2}$ and $h\_{11/2}$ states. We reconcile this discrepancy by solving coupled-channels equations, taking into account couplings between the proton motion and vibrational excitations of a daughter nucleus. We apply the formalism to proton emitting nuclei $^{160,161}$Re to show that there is a certain range of parameter set of the excitation energy and the dynamical deformation parameter for the quadrupole phonon excitation which reproduces simultaneously the experimental decay rates from the 2$d\_{3/2}$, 3$s\_{1/2}$ and 1$h\_{11/2}$ states in these nuclei.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/nucl-th/0105029>)

[PDF](<https://arxiv.org/pdf/nucl-th/0105029.pdf>)