Beta-decay of the $\mth{N=Z}$ nucleus $\chem{^{72}Kr}$

The beta-decay of the $N=Z$, even-even nucleus $\chem{^{72}Kr}$ has been studied at the ISOLDE PSB facility at CERN. Measurements of $\beta\gamma$ and $\beta\gamma\gamma$ coincidences have enriched the decay scheme of the daughter nucleus $\chem{^{72}Br}$ with 27 new low spin levels. A more precise half-life of $T_{1/2}=17.1(2)$ s has been determined. Strong feeding to the $\chem{^{72}Br}$ ground state is established yielding an unambiguous $J^{\pi}$ = 1$^{+}$ assignment for this state. Candidates for the $\chem{^{72}Br}$ g.s. wave function are discussed in the framework of a self-consistent deformed mean-field calculation with SG2 Skyrme force and pairing correlations. A search for beta-delayed particle emission was made and an upper limit of 10$^{-6}$ for this decay branch obtained. The cumulated experimental level density of 1$^{+}$ states has been fitted with the constant temperature formula. The comparison indicates that most likely all 1$^{+}$ levels up to 1.2 MeV have been observed in this investigation. The corresponding nearest-neighbour level spacing does not follow a Poisson distribution. The Gamow-Teller strength distribution is compared, in terms of nuclear deformation, with different calculations made in the framework of the quasiparticle random phase approximation