Thermal QRPA equations with finite rank separable approximation for residual forces based on the Skyrme type interactions

The approach to study properties of charge-exchange excitations in hot nuclei is presented. The approach is based on the extension of the finite rank separable approximation for Skyrme interactions to finite temperatures employing the TFD formalism. We present the formulae to obtain charge-exchange strength distributions within the Thermal Quasiparticle Random Phase Approximation (TQRPA).