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A systematic study of the total $\beta$-decay half-lives and $\beta$-delayedneutron emission probabilities is performed. The $\beta$-strength function istreated within the self-consistent density-functional + continuum-QRPAframework including the Gamow-Teller and first-forbidden transitions. Theexperimental total $\beta$-decay half-lives for the Ni isotopes with $A\leq$76are described satisfactorily. The half-lives predicted from $A$=70 up to $A$=86reveal fairly regular $A$-behaviour which results from simultaneous account forthe Gamow-Teller and first-forbidden transitions. For $Z\approx$ 28 nuclei, asuppression of the delayed neutron emission probability is found when the$N$=50 neutron closed shell is crossed. The effect originates from thehigh-energy first-forbidden transitions to the states outside the $Q_{\beta} -S_n$-window in the daughter nuclei.  PACS numbers: 23.40.Bw,21.60.Jz,25.30.Pt,26.30.+kComment: LaTeX, 13 pages, 5 figure

physical review. c. nuclear physics/physical review. c, nuclear physics

β-delayed neutron emission in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Ni</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>78</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>region

β-delayed neutron emission in theNi78region