Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of the $^6$He $\beta$ decay into the $\alpha+d$ continuum
  within a three-body model   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.

2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess