$\beta$-decay properties of proton-rich odd-$A$ and even-even krypton isotopes are studied in the framework of a deformed self-consistent Hartree-Fock calculation with density-dependent Skyrme forces, including pairing correlations between like nucleons in BCS approximation. Residual spin-isospin interactions are consistently included in the particle-hole and particle-particle channels and treated in the quasiparticle random phase approximation. The similarities and differences in the treatment of even-even and odd-$A$ nuclei are stressed. Comparison to available experimental information is shown for Gamow-Teller strength distributions, summed strengths, and half-lives. The dependence of these observables on deformation is particularly emphasized in a search for signatures of the shape of the parent nucleus.

• Received 3 April 2001

DOI:https://doi.org/10.1103/PhysRevC.64.064306