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arXiv · 2308.07784

Paring correlations within the micro-macroscopic approach for the level density

A. G. Magner·A. I. Sanzhur·S. N. Fedotkin·A. I. Levon·U. V. Grygoriev·S. Shlomo
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Abstract

Level density $\rho(E,N,Z)$ is calculated for the two-component close- and open-shell nuclei with a given energy $E$, and neutron $N$ and proton $Z$ numbers, taking into account pairing effects within the microscopic-macroscopic approach (MMA). These analytical calculations have been carried out by using the semiclassical statistical mean-field approximations beyond the saddle-point method of the Fermi gas model in a low excitation-energies range. The level density $\rho$, obtained as function of the system entropy $S$, depends essentially on the condensation energy $E_{\rm cond}$ through the excitation energy $U$ in super-fluid nuclei. The simplest super-fluid approach, based on the BCS theory, accounts for a smooth temperature dependence of the pairing gap $\Delta$ due to particle number fluctuations. Taking into account the pairing effects in magic or semi-magic nuclei, excited below neutron resonances, one finds a notable pairing phase transition.Pairing correlations sometimes improve significantly the comparison with experimental data.

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A. G. Magner, A. I. Sanzhur, S. N. Fedotkin, A. I. Levon, U. V. Grygoriev, S. Shlomo. 2023-08-15. Paring correlations within the micro-macroscopic approach for the level density. https://arxiv.org/abs/2308.07784

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