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 sys
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.
show moreshow less

Download full text files

Export metadata

  • Export Bibtex
  • Export RIS

Additional Services

    Share in Twitter Search Google Scholar
Metadaten
Author:Dorin N. Poenaru, Radu A. Gherghescu, Walter Greiner
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:Univ.-Bibliothek Frankfurt am Main
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
Frankfurt Institute for Advanced Studies (FIAS)
Dewey Decimal Classification:530 Physik
PACS-Classification:21.10.Pc Single-particle levels and strength functions
21.60.-n Nuclear structure models and methods
24.75.+i General properties of fission
25.85.Ca Spontaneous fission
Sammlungen:Universitätspublikationen
Licence (German):License Logo Veröffentlichungsvertrag für Publikationen

$Rev: 11761 $