Spin-isospin excitations in the direction of ? plus decay for 80Zn and 126Ru at finite temperature

We investigate the Gamow-Teller (GT) and spin-dipole (SD) transitions in the direction of 0+ decay for neutron-rich N = 50 nucleus 80Zn and N = 82 nucleus 126Ru, which are important for deleptonization phase in core-collapse supernova, at T = 0, 1, 2 MeV with finite-temperature proton-neutron relativistic (quasiparticle) random-phase approximation. At zero temperature, the GT+ transitions for 80Zn and 126Ru are almost completely Pauli blocked because one more extra shell is occupied for neutrons than that for protons. With increasing temperature to even 2 MeV, the thermal excitation still cannot open up GT+ transitions with strong strength. The SD+ transitions in 80Zn are mildly affected by temperature, which means the experimental data measured at the laboratory can provide useful information for transitions in an astrophysical environment. However, for SD+ transitions in 126Ru, the transition energies have a decrease of about 2 MeV from zero temperature to T = 1 MeV due to the collapse of pairing gap of transition orbitals. The total strength in T+ channel decreases with increasing temperature for both GT and SD transitions, due to the suppression of their transition strength induced by temperature effects.