Analytical relationship for the cranking inertia

  • The wave function of a spheroidal harmonic oscillator without spin-orbit interaction is expressed in terms of associated Laguerre and Hermite polynomials. The pairing gap and Fermi energy are found by solving the BCS system of two equations. Analytical relationships for the matrix elements of inertia are obtained function of the main quantum numbers and potential derivative. They may be used to test complex computer codes one should develop in a realistic approach of the fission dynamics. The results given for the 240 Pu nucleus are compared with a hydrodynamical model. The importance of taking into account the correction term due to the variation of the occupation number is stressed.

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Metadaten
Author:Dorin N. PoenaruORCiDGND, Radu A. Gherghescu, Walter GreinerGND
URN:urn:nbn:de:hebis:30-20265
Document Type:Preprint
Language:English
Date of Publication (online):2005/10/31
Year of first Publication:2004
Publishing Institution:Universit├Ątsbibliothek Johann Christian Senckenberg
Release Date:2005/10/31
Source:http://www.arxiv.org/abs/nucl-th/0404046 , Eur.Phys.J. A24 (2005) 355-359
HeBIS-PPN:190438347
Institutes:Physik / Physik
Wissenschaftliche Zentren und koordinierte Programme / Frankfurt Institute for Advanced Studies (FIAS)
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
PACS-Classification:20.00.00 NUCLEAR PHYSICS / 21.00.00 Nuclear structure (for nucleon structure, see 14.20.Dh Properties of protons and neutrons; 13.40.-f for electromagnetic processes and properties; 13.60.Hb for deep-inelastic structure functions) / 21.10.-k Properties of nuclei; nuclear energy levels (for properties of specific nuclei listed by mass ranges, see section 27) / 21.10.Pc Single-particle levels and strength functions
20.00.00 NUCLEAR PHYSICS / 21.00.00 Nuclear structure (for nucleon structure, see 14.20.Dh Properties of protons and neutrons; 13.40.-f for electromagnetic processes and properties; 13.60.Hb for deep-inelastic structure functions) / 21.60.-n Nuclear structure models and methods
20.00.00 NUCLEAR PHYSICS / 24.00.00 Nuclear reactions: general / 24.75.+i General properties of fission
20.00.00 NUCLEAR PHYSICS / 25.00.00 Nuclear reactions: specific reactions / 25.85.-w Fission reactions / 25.85.Ca Spontaneous fission
Licence (German):License LogoDeutsches Urheberrecht