Gamow-Tellerβ+decay of deformed nuclei near the proton drip line

Abstract

Using a quasiparticle Tamm-Dancoff approximation (TDA) based on deformed Hartree-Fock (HF) calculations with Skyrme interactions, the distribution of the Gamow-Teller (GT) ${\mathrm{\ensuremath{\beta}}}^{+}$ decay strength is estimated for the HF local minima of even-even deformed nuclei near the proton drip line in the region of 28Z66. The distribution often depends sensitively on the nuclear shape (namely, oblate or prolate). In the region of Z50 the possibility of observing \ensuremath{\beta}-delayed proton emission depends sensitively on the excess of Z over Z=N. In the region of Z\ensuremath{\gtrsim}50 almost the entire estimated GT strength is found to lie below the ground states of the even-even mother nuclei, and the observation of the total GT strength by \ensuremath{\beta}-delayed charged-particle(s) emission will be of essential importance.