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- Title
Pairing correlations within the micro-macroscopic approach for the level density.
- Authors
Magner, A. G.; Sanzhur, A. I.; Fedotkin, S. N.; Levon, A. I.; Grygoriev, U. V.; Shlomo, S.
- Abstract
Level density ρ (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 ρ , obtained as function of the system entropy S, depends essentially on the condensation energy E 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 Δ 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.
- Subjects
PHASE transitions; NEUTRON resonance; ATOMIC number; DENSITY; NEUTRONS; ELECTRON gas
- Publication
European Physical Journal A -- Hadrons & Nuclei, 2024, Vol 60, Issue 1, p1
- ISSN
1434-6001
- Publication type
Article
- DOI
10.1140/epja/s10050-023-01222-1