Analysis of the {sup 6}He {beta} decay into the {alpha}+d continuum within a three-body model
- Institute of Nuclear Physics, Uzbekistan Academy of Sciences, 702132, Ulugbek, Tashkent (Uzbekistan)
- Physique Quantique, C.P. 165/82, Universite Libre de Bruxelles, B 1050 Brussels (Belgium)
- Physique Nucleaire Theorique et Physique Mathematique, C.P. 229, Universite Libre de Bruxelles, B 1050 Brussels (Belgium)
The {beta}-decay process of the {sup 6}He halo nucleus into the {alpha}+d continuum is studied in a three-body model. The {sup 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 1.6x10{sup -6} s{sup -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.
- OSTI ID:
- 20771181
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 73, Issue 1; Other Information: DOI: 10.1103/PhysRevC.73.014303; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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