Abstract
Within the framework of a three-cluster generator-coordinate model, we study several properties of the 17Ne and 17N nuclei. The results of the calculations show that the 17Ne nucleus is well described by 15O+p+p configurations and that the mirror nucleus 17N can be treated as a 15N+n+n system, except in the asymptotic region. The simultaneous investigation of the 17Ne and 17N proton and neutron density distributions as well as of their radii does not support the existence of a proton halo in 17Ne. Allowed β-decay rates of 17Ne and 17N are calculated with α+13N and α+13C configurations representing the 17F and 17O negative-parity states. Both Fermi and Gamow-Teller matrix elements mainly depend on the properties of the final nuclei. We argue that the first-forbidden β-decays of the 17Ne and 17N ground states are independent of possible halo effects in the initial or final nuclei.
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