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First-forbidden (FF) transitions can play an important role in decreasing thecalculated half-lives specially in environments where allowed Gamow-Teller (GT)transitions are unfavored. Of special mention is the case of neutron-richnuclei where, due to phase-space amplification, FF transitions are muchfavored. We calculate the allowed GT transitions in various pn-QRPA models foreven-even neutron-rich isotopes of nickel. Here we also study the effect ofdeformation on the calculated GT strengths. The FF transitions for even-evenneutron-rich isotopes of nickel are calculated assuming the nuclei to bespherical. Later we take into account deformation of nuclei and calculate GT +unique FF transitions, stellar $\beta$-decay rates, energy rate of$\beta$-delayed neutrons and probability of $\beta$-delayed neutron emissions.The calculated half-lives are in excellent agreement with measured ones andmight contribute in speeding-up of the $r$-matter flow.

european physical journal. a, hadrons and nuclei

First-forbidden $\mathbf{\beta}$-decay rates, energy rates of  $\beta$-delayed neutrons and probability of $\beta$-delayed neutron emissions  for neutron-rich nickel isotopes