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The approach to study properties of charge-exchange excitations in hot nucleiis presented. The approach is based on the extension of the finite rankseparable approximation for Skyrme interactions to finite temperaturesemploying the TFD formalism. We present the formulae to obtain charge-exchangestrength distributions within the Thermal Quasiparticle Random PhaseApproximation (TQRPA).

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