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Area of Science:

  • Nuclear Physics
  • Radioactive Decay Studies
  • Quantum Mechanics

Background:

  • Ground-state two-proton (2p) radioactivity is a rare nuclear decay mode.
  • 2p decay properties offer insights into nuclear structure near the proton continuum.
  • The 2p decay of ^{67}Kr was recently measured and found to be unexpectedly rapid.

Purpose of the Study:

  • Investigate the impact of nuclear deformation on 2p radioactivity.
  • Explain the unexpectedly fast 2p decay of ^{67}Kr.
  • Apply a novel three-body approach to a deformed nucleus undergoing two-nucleon decay.

Main Methods:

  • Utilized the Gamow coupled-channel framework for three-body system analysis.
  • Incorporated rotational and vibrational couplings into the model.
  • First application of a three-body approach to two-nucleon decay in a deformed nucleus.

Main Results:

  • Deformation couplings were shown to significantly increase the 2p decay width of ^{67}Kr.
  • This increase in decay width successfully explains the puzzling experimental observations.
  • Calculated proton-proton angular correlations indicate a competition between one-proton (1p) and 2p decay modes.

Conclusions:

  • Nuclear deformation plays a crucial role in enhancing 2p decay rates.
  • The Gamow coupled-channel framework provides a robust method for studying 2p decay in deformed nuclei.
  • The findings contribute to a deeper understanding of nuclear structure and decay mechanisms in exotic isotopes.