Abstract
The temperature dependence of the shell corrections to the energy , entropy , and free energy is studied by employing the covariant density functional theory for closed-shell nuclei. Taking Sm as an example, studies have shown that, unlike the widely-used exponential dependence , exhibits a non-monotonous behavior, i.e., first decreasing 20% approaching a temperature of MeV, and then fading away exponentially. Shell corrections to both free energy and entropy can be approximated well using the Bohr-Mottelson forms and , respectively, in which . Further studies on the shell corrections in other closed-shell nuclei, Sn and Pb, are conducted, and the same temperature dependencies are obtained.
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