Dependence of Gamow-Teller β+-decay of 80Zr,76Sr and 72Kr on nuclear shape

The Gamow-Teller (GT) β+-decay probability is estimated for three neutron-deficient N=Z nuclei, 7236Kr36, 7638Sr38, and 8040Zr40, using a quasiparticle Tamm-Dancoff approximation (TDA) based on a Skyrme-type deformed Hartree-Fock (HF) calculation. The distribution of the GT strength is found to depend sensitively on the nuclear shape, namely, a spherical shape or a prolate or an oblate deformation of the obtained HF minima. At the shape of the lowest HF minimum about a half of the calculated total GT strength lies below the ground state of those N=Z mother nuclei, and there seems to be a good chance to observe β-delayed proton emission. (orig.)