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Hartree-Fock theory for the equilibrium shape of light nuclei; Theorie Hartree-Fock de la forme d'equilibre des noyaux legers

Abstract

Most of the content of this thesis is published in english in Advances In Nuclear Physics, Vol. 1 (Editors: Baranger and Vogt - Plenum Press). The Hartree- Fock equations are derived. The expansions of the orbits and the possible symmetries of the Hartree-Fock field are discussed. Wavefunctions of even-even N = Z nuclei are given for 12 {<=} A {<=} 40. The role of the monopole, quadrupole and exchange components of the force are discussed. The multiplicity of the solutions and the effect of the spin-orbit interaction are discussed. Exact angular momentum projection is used to generate rotational bands. The validity of the adiabatic rotational model in light nuclei is discussed. Hartree-Fock calculations are extended to include major-shell mixing in order to obtain quadrupole deformations without the use of effective charge. The incompressibility, of nuclei is discussed and the compatibility between the Hartree-Fock solutions, the Mottelson model of quadrupole deformations and the SU3 states of J.P. Elliott and M. Moshinsky is established. (author) [French] La theorie de Hartree-Fock est appliquee au calcul des fonctions d'onde des noyaux legers deformes. Les equations de Hartree-Fock, les symetries permises et le choix du developpement des orbites sont discutes. Les fonctions d'onde des noyaux  More>>
Authors:
Ripka, G [1] 
  1. Commissariat a l'Energie Atomique, 91 - Saclay (France). Centre d'Etudes Nucleaires
Publication Date:
Sep 01, 1968
Product Type:
Thesis/Dissertation
Report Number:
CEA-R-3404
Resource Relation:
Other Information: TH: These Docteur es-sciences; 49 refs; PBD: Sep 1968
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; EVEN-EVEN NUCLEI; EVEN-ODD NUCLEI; HAMILTONIANS; HARTREE-FOCK METHOD; ISOSPIN; L-S COUPLING; LIGHT NUCLEI; NILSSON-MOTTELSON MODEL; NUCLEAR DEFORMATION; NUCLEAR MAGNETIC MOMENTS; NUCLEON-NUCLEON POTENTIAL; QUADRUPOLAR CONFIGURATIONS; ROTATIONAL STATES; SPIN ORIENTATION; VIBRATIONAL STATES; WAVE FUNCTIONS
OSTI ID:
20520772
Research Organizations:
CEA Saclay, 91 - Gif-sur-Yvette (France); Faculte des Sciences d'Orsay, Universite de Paris, 91 (France)
Country of Origin:
France
Language:
French
Other Identifying Numbers:
TRN: FR04R3404088710
Availability:
Available from INIS in electronic form
Submitting Site:
FRN
Size:
[180] pages
Announcement Date:

Citation Formats

Ripka, G. Hartree-Fock theory for the equilibrium shape of light nuclei; Theorie Hartree-Fock de la forme d'equilibre des noyaux legers. France: N. p., 1968. Web.
Ripka, G. Hartree-Fock theory for the equilibrium shape of light nuclei; Theorie Hartree-Fock de la forme d'equilibre des noyaux legers. France.
Ripka, G. 1968. "Hartree-Fock theory for the equilibrium shape of light nuclei; Theorie Hartree-Fock de la forme d'equilibre des noyaux legers." France.
@misc{etde_20520772,
title = {Hartree-Fock theory for the equilibrium shape of light nuclei; Theorie Hartree-Fock de la forme d'equilibre des noyaux legers}
author = {Ripka, G}
abstractNote = {Most of the content of this thesis is published in english in Advances In Nuclear Physics, Vol. 1 (Editors: Baranger and Vogt - Plenum Press). The Hartree- Fock equations are derived. The expansions of the orbits and the possible symmetries of the Hartree-Fock field are discussed. Wavefunctions of even-even N = Z nuclei are given for 12 {<=} A {<=} 40. The role of the monopole, quadrupole and exchange components of the force are discussed. The multiplicity of the solutions and the effect of the spin-orbit interaction are discussed. Exact angular momentum projection is used to generate rotational bands. The validity of the adiabatic rotational model in light nuclei is discussed. Hartree-Fock calculations are extended to include major-shell mixing in order to obtain quadrupole deformations without the use of effective charge. The incompressibility, of nuclei is discussed and the compatibility between the Hartree-Fock solutions, the Mottelson model of quadrupole deformations and the SU3 states of J.P. Elliott and M. Moshinsky is established. (author) [French] La theorie de Hartree-Fock est appliquee au calcul des fonctions d'onde des noyaux legers deformes. Les equations de Hartree-Fock, les symetries permises et le choix du developpement des orbites sont discutes. Les fonctions d'onde des noyaux pair-pairs N = Z (12 {<=} A {<=} 40) sont tabulees. Les contributions des composantes monopolaires et quadrupolaires ainsi que des termes d'echange de la force nucleon-nucleon sont discutees. La methode de projection de moment cinetique est utilisee pour engendrer les bandes de rotation. La validite du modele rotationnel adiabatique est discutee. Les calculs de Hartree-Fock qui tiennent compte du melange de plusieurs couches majeures dans chaque orbite sont appliques au calcul des deformations quadrupolaires sans l'utilisation de charge effective. L'incompressibilite des noyaux et la compatibilite des fonctions d'onde de Hartree- Fock avec les fonctions d'onde SU3 de J.P. Elliott et de M. Moshinsky et avec le modele de Mottelson sont verifiees. (auteur)}
place = {France}
year = {1968}
month = {Sep}
}