Abstract

The lifetime of the $(11/{2}^{+})$ state in the band above the proton-emitting $(3/{2}^{+})$ state in $^{113}\mathrm{Cs}$ has been measured to be $\ensuremath{\tau}=24(6)$ ps from a recoil-decay-tagged differential-plunger experiment. The measured lifetime was used to deduce the deformation of the states using wave functions from a nonadiabatic quasiparticle model to independently calculate both proton-emission and electromagnetic $\ensuremath{\gamma}$-ray transition rates as a function of deformation. The only quadrupole deformation, which was able to reproduce the experimental excitation energies of the states, the electromagnetic decay rate of the $(11/{2}^{+})$ state and the proton-emission rate of the $(3/{2}^{+})$ state, was found to be ${\ensuremath{\beta}}_{2}=0.22(6)$. This deformation is in agreement with the earlier proton emission studies which concluded that $^{113}\mathrm{Cs}$ was best described as a deformed proton emitter, however, it is now more firmly supported by the present measurement of the electromagnetic transition rate.

Highlights

  • Proton emission can provide valuable nuclear-structure information and allow sensitive tests of theoretical nuclear models for proton-rich nuclei in the region beyond the drip line [1,2]

  • The only quadrupole deformation, which was able to reproduce the experimental excitation energies of the states, the electromagnetic decay rate of the (11/2+) state and the proton-emission rate of the (3/2+) state, was found to be β2 = 0.22(6). This deformation is in agreement with the earlier proton emission studies which concluded that 113Cs was best described as a deformed proton emitter, it is more firmly supported by the present measurement of the electromagnetic transition rate

  • Wave functions extracted from this model were fixed and used consistently in both proton emission codes based on the approaches discussed in Ref. [18] and standard electromagnetic transition-rate calculations based on Refs. [37,38]

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Summary

INTRODUCTION

Proton emission can provide valuable nuclear-structure information and allow sensitive tests of theoretical nuclear models for proton-rich nuclei in the region beyond the drip line [1,2]. Further developments of that work allowed improved wave functions to be obtained using a nonadiabatic quasiparticle model [17,18,19] These nonadiabatic calculations have been used for 113Cs in the present work to allow for any non rigid-rotational components in the daughter nucleus, 112Xe. In order to validate the theoretical predictions of deformation in these nuclei, any experimental information on the deformation of the proton-emitting states in 113Cs, or even the states in the bands built upon them, is necessary. The lifetime has been interpreted within a new theoretical framework which considers both electromagnetic transition and proton emission rates using a common deformation and a common set of wave functions from a nonadiabatic quasiparticle model [17,18,19] This approach has demonstrated that 113Cs is best described as a deformed nucleus with a quadrupole deformation parameter, β2 = 0.22(6)

EXPERIMENTAL DETAILS
RESULTS
DISCUSSION
Predicted excitation energies of the states
Predicted proton-emission transition rates
Result from

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