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Pairing correlations within the micro-macroscopic approach for the level density
Pub type: Article
Citation: Magner2024
Status: Published
Journal: The European Physical Journal A
Volume: 60
Number: 1
Year: 2024
Month: Jan
Pages: 6
ISSN: 1434-601X
URL: https://doi.org/10.1140/epja/s...
DOI: 10.1140/epja/s10050-023-01222-1
Abstract: Level density {\$}{\$}{\backslash}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 semiclassical statistical mean-field approximations beyond the saddle-point method of the Fermi gas model in a low excitation-energies range. The level density {\$}{\$}{\backslash}rho {\$}{\$}, obtained as function of the system entropy S, depends essentially on the condensation energy {\$}{\$}E{\_}{\{}{\backslash}textrm{\{}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 {\$}{\$}{\backslash}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.
Month_val: 1
Userfields: day={08},
Sig contrib: S. Shlomo
Authors: Magner, A. G.
Sanzhur, A. I.
Fedotkin, S. N.
Levon, A. I.
Grygoriev, U. V.
Shlomo, S.
Added by: [DGM]
Total mark: 0
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