Abstract
We study the temperature dependence of the sum rules using the discontinuity of the first derivative of the Matsubara Green's functions of a bilinear particle–hole operator. Particularly we study the behavior of the dipole particle–hole operator. We applied the calculation to 114 Sn, 138 Ba, 154 Gd and 170 Yb. It is found that the energy weighted sum rule for the dipole operator changes as a function of the temperature depending on the square of the gap. This fact is related to the antipairing effect of the temperature over the nuclear system.
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