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It has been observed that decay rate for proton emission from $d_{3/2}$single particle state is systematically quenched compared with the predictionof a one dimensional potential model although the same model successfullyaccounts for measured decay rates from $s_{1/2}$ and $h_{11/2}$ states. Wereconcile this discrepancy by solving coupled-channels equations, taking intoaccount couplings between the proton motion and vibrational excitations of adaughter nucleus. We apply the formalism to proton emitting nuclei$^{160,161}$Re to show that there is a certain range of parameter set of theexcitation energy and the dynamical deformation parameter for the quadrupolephonon excitation which reproduces simultaneously the experimental decay ratesfrom the 2$d_{3/2}$, 3$s_{1/2}$ and 1$h_{11/2}$ states in these nuclei.

physical review. c. nuclear physics/physical review. c, nuclear physics

Role of dynamical particle-vibration coupling in reconciliation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>puzzle for spherical proton emitters

Role of dynamical particle-vibration coupling in reconciliation of thed3/2puzzle for spherical proton emitters