Effects of deformation on the β-decay patterns of light even-even and odd-mass Hg and Pt isotopes

Bulk and decay properties, including deformation energy curves, charge mean square radii, Gamow-Teller (GT) strength distributions and beta-decay half-lives are studied in neutron-deficient even-even and odd-A Hg and Pt isotopes. The nuclear structure is described microscopically from deformed quasiparticle random-phase approximation calculations with residual interactions in both particle-hole and particle-particle channels, performed on top of a self-consistent deformed quasiparticle Skyrme Hartree-Fock basis. The observed sensitivity of the not-yet-measured GT strength distributions to deformation is proposed as an additional complementary signature of the nuclear shape. The beta-decay half-lives resulting from these distributions are compared to experiment to demonstrate the ability of the method.