dorsal/arxiv
View SchemaNonmesonic weak decay of $\Lambda$ hypernuclei within a nuclear matter framework
| Authors | E. Bauer |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0610095 |
| URL | https://arxiv.org/abs/nucl-th/0610095 |
| DOI | 10.1016/j.nuclphysa.2006.11.049 |
Abstract
The nonmesonic weak decay of $\Lambda$ hypernuclei is studied using nuclear matter. We have developed a formalism which gives a microscopic interpretation of the process of emission of particles originated in this decay. More specifically, our scheme provides a unified treatment of $\Gamma(\Lambda N \to NN$) and $N_{N}$ ($N_{NN}$), the $\Lambda$ non-mesonic weak decay widths and the number of emitted particles (pair of particles) of kind $N$ ($NN$), respectively. We have also evaluated for the first time the quantum interference terms between the $n$- and $p$-induced weak decay amplitudes. Explicit expressions for $N_{N}$ and $N_{NN}$ are shown within the ring approximation. Using the local density approximation together with the ring approximation, we report results for the decay of the $^{12}_{\Lambda}C$ hypernucleus. We have obtained values for the ratio $N_{n}/N_{p}$ ($N_{nn}/N_{np}$) in the range $1.4-1.6$ ($0.2-0.3$), where no energy threshold have been employed. The $n$- and $p$-induced interference terms modify in less than $\sim 3 %$ these results.
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"abstract": "The nonmesonic weak decay of $\\Lambda$ hypernuclei is studied using nuclear\nmatter. We have developed a formalism which gives a microscopic interpretation\nof the process of emission of particles originated in this decay. More\nspecifically, our scheme provides a unified treatment of $\\Gamma(\\Lambda N \\to\nNN$) and $N_{N}$ ($N_{NN}$), the $\\Lambda$ non-mesonic weak decay widths and\nthe number of emitted particles (pair of particles) of kind $N$ ($NN$),\nrespectively. We have also evaluated for the first time the quantum\ninterference terms between the $n$- and $p$-induced weak decay amplitudes.\nExplicit expressions for $N_{N}$ and $N_{NN}$ are shown within the ring\napproximation. Using the local density approximation together with the ring\napproximation, we report results for the decay of the $^{12}_{\\Lambda}C$\nhypernucleus. We have obtained values for the ratio $N_{n}/N_{p}$\n($N_{nn}/N_{np}$) in the range $1.4-1.6$ ($0.2-0.3$), where no energy threshold\nhave been employed. The $n$- and $p$-induced interference terms modify in less\nthan $\\sim 3 %$ these results.",
"arxiv_id": "nucl-th/0610095",
"authors": [
"E. Bauer"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2006.11.049",
"title": "Nonmesonic weak decay of $\\Lambda$ hypernuclei within a nuclear matter framework",
"url": "https://arxiv.org/abs/nucl-th/0610095"
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