Thermal effects on the electron capture and beta-decays rates are studied for 56Ni embedded in dense and hot matter of the collapsing core of a massive star. The influence of temperature on the strength distributions of GT transitions is considered in the framework of the Skyrme-TQRPA model. It is shown that thermal effects make possible negative- and low-energy GT transitions which are Pauli blocked at zero temperature. The weak-interaction rates obtained in frames of 10different Skyrme interaction parametrizations are compared with one another and with those from the large-scale shell model calculations.
21.60.Jz Nuclear Density Functional Theory and extensions
24.10.Pa Thermal and statistical models
25.40.Kv Charge-exchange reactions
$^1$Lomonosov Moskow State University, Faculty of Physics, Moskow 119991, Russia\
$^2$Joint Institute for Nuclear Research, Bogolyubov Theoretical Physics Laboratory\
$^3$Lomonosov Moscow State University, Skobeltsyn Institute of Nuclear Physics, Moskow 119991, Russia.
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