Level density within a micro-macroscopic approach

Magner, A. G.; Sanzhur, A. I.; Fedotkin, S. N.; Levon, A. I.; Shlomo, S.

doi:10.1016/j.nuclphysa.2022.122423

Title: Level density within a micro-macroscopic approach

Journal Article · 23 February 2022 · Nuclear Physics. A

DOI: https://doi.org/10.1016/j.nuclphysa.2022.122423 · OSTI ID:1977516

^[1];

^[2]; Fedotkin, S. N. ^[2]; Levon, A. I. ^[2];

^[3]

Kyiv Institute for Nuclear Research (Ukraine); OSTI
Kyiv Institute for Nuclear Research (Ukraine)
Texas A & M University, College Station, TX (United States)

Statistical level density $$ρ$$($E, A$) is derived for nucleonic system with a given energy $$E$$, particle number $$A$$ and other integrals of motion in the micro-macroscopic approximation beyond the standard saddle-point method of the Fermi gas model. This level density reaches the two limits; the well-known Fermi gas grand-canonical ensemble limit for a large entropy $$S$$ related to large excitation energies, and the finite micro-canonical limit for a small combinatorical entropy $$S$$ at low excitation energies. In conclusion, the inverse level density parameter $$K$$ as function of the particle number $$A$$ in the semiclassical periodic orbit theory, taking into account the extended Thomas-Fermi and Strutinsky shell corrections, is calculated and compared with experimental data.

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Research Organization:: Texas A & M University, College Station, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG03-93ER40773

OSTI ID:: 1977516

Journal Information:: Nuclear Physics. A, Journal Name: Nuclear Physics. A Journal Issue: C Vol. 1021; ISSN 0375-9474

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Level density
Neutron resonances
Periodic orbit theory
Physics
Shell effects
Thomas-Fermi approach

Title: Level density within a micro-macroscopic approach

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