Microscopic calculation of Ne-17 and N-17 properties in a three-cluster generator-coordinate method

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