Published January 1976 | Version v1
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A variational derivation of nuclear hydrodynamics

Creators

  • 1. Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
  • 2. Oxford Univ. (UK). Dept. of Theoretical Physics

Description

Equations of nuclear motion are derived from a time-dependent variational principle by using a trial wave function obtained from a time-even Slater determinant by a gauge transformation. They have the same form as the equations of classical hydrodynamics for irrotational flow, and can describe motions with arbitrary amplitudes. The theory also gives an equation of state for the nuclear medium. (The only even-even nuclei are considered)

Availability note (English)

MF available from INIS under the Report Number.

Abstract (French)

Les equations du mouvement sont etablies a partir d'un principe variationnel analogue au principe d'Hamilton en mecanique classique. La fonction d'onde variationnelle est obtenue par l'application d'une transformation de jauge sur un determinant de Slater invariant par renversement du temps. Les equations du mouvement ont une forme similaire a celle des equations de l'hydrodynamique classique pour un fluide irrotationnel. Elles peuvent decrire des mouvements possedant une grande amplitude. Le formalisme fournit aussi une equation d'etat pour la matiere nucleaire . (On ne considere ici que les noyaux pair-pairs)

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Additional details

Publishing Information

Imprint Pagination
10 p.
Report number
IPNO-TH--76-1

INIS

Country of Publication
France
Country of Input or Organization
France
INIS RN
7269977
Subject category
S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
Descriptors DEI
EQUATIONS OF MOTION; GAUGE INVARIANCE; HYDRODYNAMICS; NUCLEI; SLATER METHOD; VARIATIONAL METHODS; WAVE FUNCTIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FLUID MECHANICS; FUNCTIONS; INVARIANCE PRINCIPLES; MECHANICS