dorsal/arxiv
View SchemaCompetition Between Particle-Hole and Particle-Particle Correlations in Forbidden Electron Capture: the Case of $^{123}$Te
| Authors | M. Bianchetti, M. R. Quaglia, G. Colo`, P. M. Pizzochero, R. A. Broglia, P. F. Bortignon |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9607032 |
| URL | https://arxiv.org/abs/nucl-th/9607032 |
| DOI | 10.1103/PhysRevC.56.R1675 |
Abstract
The K-electron capture half-life of $^{123}$Te has been recently measured to be $t^K_{exp}=2.4\times 10^{19}$ yr, and constitutes the longest half-life ever measured in a single $\beta$-transition of any nuclear species. We have calculated this second unique forbidden transition within the framework of the proton-neutron quasi-particle random phase approximation, making use of Skyrme-type effective interactions. A strong cancellation effect between particle-hole and particle-particle correlations is found. The model, without any renormalization of the force, provides a lower limit for the K-electron capture half-life of $\sim 10^{17}$ yr, which unambiguously rules out the old experimental values of $10^{13} - 10^{14}$ yr. A few percent increase of the particle-particle matrix elements of the Skyrme interaction allows to reproduce the experimental findings.
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"abstract": "The K-electron capture half-life of $^{123}$Te has been recently measured to\nbe $t^K_{exp}=2.4\\times 10^{19}$ yr, and constitutes the longest half-life ever\nmeasured in a single $\\beta$-transition of any nuclear species. We have\ncalculated this second unique forbidden transition within the framework of the\nproton-neutron quasi-particle random phase approximation, making use of\nSkyrme-type effective interactions. A strong cancellation effect between\nparticle-hole and particle-particle correlations is found. The model, without\nany renormalization of the force, provides a lower limit for the K-electron\ncapture half-life of $\\sim 10^{17}$ yr, which unambiguously rules out the old\nexperimental values of $10^{13} - 10^{14}$ yr. A few percent increase of the\nparticle-particle matrix elements of the Skyrme interaction allows to reproduce\nthe experimental findings.",
"arxiv_id": "nucl-th/9607032",
"authors": [
"M. Bianchetti",
"M. R. Quaglia",
"G. Colo`",
"P. M. Pizzochero",
"R. A. Broglia",
"P. F. Bortignon"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.56.R1675",
"title": "Competition Between Particle-Hole and Particle-Particle Correlations in Forbidden Electron Capture: the Case of $^{123}$Te",
"url": "https://arxiv.org/abs/nucl-th/9607032"
},
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