Extended thermal random phase approximation equation for nuclear collective excitation at finite temperature

Journal Article · Wed Jun 01 00:00:00 EDT 1988 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.37.2802· OSTI ID:5185486

Tanabe, K

To take systematic account of thermal correlation effect on the mean field, the thermal random phase approximation formalism is extended based on the thermofield dynamics scheme. The random phase approximation phonon operator is expressed in terms of the thermofield dynamics quasiparticle operators with a tilde as well as those without a tilde, and the increase of the dimensionality of variational parameter manifold enables us to derive the extended thermal random phase approximation equation from deeper minimum of grand potential. It is shown that the extended thermal random phase approximation equation is justified also from viewpoint of time-dependent formalism. The method of constrained variation applied to the first extended thermal random phase approximation can be straightforwardly generalized to the second, or higher extended thermal random phase approximation. Extended expressions are given also for the stability condition of thermal Hartree-Fock-Bogoliubov approximation and the energy-weighted sum rule.

• Research Organization: Department of Physics, Saitama University, Urawa, Saitama 338, Japan
• OSTI ID: 5185486
• Journal Information: Phys. Rev. C; (United States), Vol. 37:6
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COLLECTIVE MODEL
RANDOM PHASE APPROXIMATION
CORIOLIS FORCE
EQUATIONS OF MOTION
GIANT RESONANCE
HAMILTONIANS
HARTREE-FOCK-BOGOLYUBOV THEORY
MEAN-FIELD THEORY
PARTICLE-HOLE MODEL
PHONONS
QUASI PARTICLES
SUM RULES
TIME DEPENDENCE
VARIATIONAL METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
RESONANCE
653001* - Nuclear Theory- Nuclear Structure
Moments
Spin
& Models