Gamow-Teller and first-forbidden decays near the r-process paths at N=50, 82, and 126

The β-decay rates of neutron-rich nuclei relevant to the r-process nucleosynthesis are mostly beyond experimental reach. Their predictions demand a self-consistent extrapolation of various nuclear properties away from the experimentally known regions. The allowed transitions approximation commonly used in large-scale microscopic calculations also needs to be revised in different mass regions. The density functional+continuum QRPA approximation to self-consistent calculations of the ground state properties, Gamow-Teller and first-forbidden β-decay transitions of nuclei far from stability is developed. Systematic calculations are performed of the allowed and first-forbidden β-decay rates for the r-process relevant nuclides near the closed neutron shells at N=50,82,126. The importance of first-forbidden decays near Z≥50, N≅82 and near N=126 is shown. The total β-decay half-lives in the region 'east' of the 208Pb are estimated. A comparison with recent experimental data, global calculations, and self-consistent microscopic predictions is presented