The global beta-decay calculations are presented which are based on the Density Functional developed by Fayans et.al.  and Continuum Quasiparticle Random-Phase Approximation. The DF3+CQRPA model  describes the data on the half-lives and probabilities of delayed neutron emission for more than 200 (quasi) spherical nuclei with Z = 18 - 52 and T1/2 < 5c within the factor of 2 and 3 correspondingly (Fig.1). A detailed comparison with modern self-consistent models: spherical RHB + RQRPA , deformed FAM  and HFB + QRPA  is performed. The“sudden shortening” of the β-decay half-lives found in RIKEN for the Ni isotopes crossing the major neutron shell at N=50  are addressed (Fig.2). The performance of “beyond the QRPA models” in explaining beta-decay acceleration in the 78,79Ni is discussed. Supported by the grant of Russian Foundation for Basic Research (RFBR 18-02-00670).
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