dorsal/arxiv
View SchemaAnalysis of the $^6$He $\beta$ decay into the $\alpha+d$ continuum within a three-body model
| Authors | E. M. Tursunov, D. Baye, P. Descouvemont |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0512006 |
| URL | https://arxiv.org/abs/nucl-th/0512006 |
| DOI | 10.1103/PhysRevC.73.014303 10.1103/PhysRevC.74.069904 |
| Journal | Phys.Rev.C73:014303,2006; Erratum-ibid.C74:069904,2006 |
Abstract
The beta-decay process of the $^6$He halo nucleus into the alpha+d continuum is studied in a three-body model. The $^6$He nucleus is described as an alpha+n+n system in hyperspherical coordinates on a Lagrange mesh. The convergence of the Gamow-Teller matrix element requires the knowledge of wave functions up to about 30 fm and of hypermomentum components up to K=24. The shape and absolute values of the transition probability per time and energy units of a recent experiment can be reproduced very well with an appropriate alpha+d potential. A total transition probability of 1.6E-6 s$^{-1}$ is obtained in agreement with that experiment. Halo effects are shown to be very important because of a strong cancellation between the internal and halo components of the matrix element, as observed in previous studies. The forbidden bound state in the alpha+d potential is found essential to reproduce the order of magnitude of the data. Comments are made on R-matrix fits.
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"abstract": "The beta-decay process of the $^6$He halo nucleus into the alpha+d continuum\nis studied in a three-body model. The $^6$He nucleus is described as an\nalpha+n+n system in hyperspherical coordinates on a Lagrange mesh. The\nconvergence of the Gamow-Teller matrix element requires the knowledge of wave\nfunctions up to about 30 fm and of hypermomentum components up to K=24. The\nshape and absolute values of the transition probability per time and energy\nunits of a recent experiment can be reproduced very well with an appropriate\nalpha+d potential. A total transition probability of 1.6E-6 s$^{-1}$ is\nobtained in agreement with that experiment. Halo effects are shown to be very\nimportant because of a strong cancellation between the internal and halo\ncomponents of the matrix element, as observed in previous studies. The\nforbidden bound state in the alpha+d potential is found essential to reproduce\nthe order of magnitude of the data. Comments are made on R-matrix fits.",
"arxiv_id": "nucl-th/0512006",
"authors": [
"E. M. Tursunov",
"D. Baye",
"P. Descouvemont"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.014303 10.1103/PhysRevC.74.069904",
"journal_ref": "Phys.Rev.C73:014303,2006; Erratum-ibid.C74:069904,2006",
"title": "Analysis of the $^6$He $\\beta$ decay into the $\\alpha+d$ continuum within a three-body model",
"url": "https://arxiv.org/abs/nucl-th/0512006"
},
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