Mass parameters in the adiabatic time-dependent Hartree-Fock approximation. I. Theoretical aspects; the case of a single collective variable

Journal Article · Thu May 01 04:00:00 EDT 1980 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.21.2060· OSTI ID:5455836

Giannoni, M J; Quentin, P

A self-consistent method for evaluation of mass parameters is presented in the framework of the adiabatic limit of the time-dependent Hartree-Fock approximation, reduced to a single collective variable. The corresponding collective path is assumed to be given either by solving a constrained Hartree-Fock problem with a given time-even constraining operator Q, or by scaling a static Hartree-Fock equilibrium solution. In the former case, once the path is given, a method for solving the equation of motion (of the Hamilton type) is provided, which reduces to a double-constrained Hartree-Fock problem with the time-even constraint Q and with a time-odd constraining operator P. In the case of the scaling path, an analytical solution of the Hamilton equation is discussed and the adiabatic mass for the particular case of an isoscalar quadrupole Q/sub 20/ mode is given. The operator P, which is uniquely determined from the knowledge of Q, has the physical meaning of a momentum operator; it satisfies, together with Q, a weak quantal conjugation relation. Finally, the connection between the two paths is discussed in terms of generalized random-phase approximation sum rules.

• Research Organization: Division de Physique Theorique, Institut de Physique Nucleaire, 91406 Orsay-Cedex, France
• OSTI ID: 5455836
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 21:5; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ADIABATIC APPROXIMATION
BARYON-BARYON INTERACTIONS
CALCULATION METHODS
COLLECTIVE MODEL
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
GIANT RESONANCE
HADRON-HADRON INTERACTIONS
HARTREE-FOCK METHOD
INTERACTIONS
MASS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
RANDOM PHASE APPROXIMATION
RESONANCE
TIME DEPENDENCE
VARIATIONAL METHODS