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Extension of the QPM to T {ne} 0 Based on the Formalism of the Thermo Field Dynamics

Technical Report:

Abstract

The way of extending the quasiparticle-phonon nuclear model (QPM) to finite temperature is presented. It is based on a formalism of the thermo field dynamics (TFD). After formal doubling of the single-particle degrees of freedom by introducing the so called tilde-states, the usual and thermal Bogolyubov transformations are carried out. The coefficients of the transformations are determined by minimizing the free energy potential of a hot nucleus in the thermal vacuum state taking into account only single particle and pairing terms of the QPM Hamiltonian. Then the thermal phonon operator is introduced as a linear superposition of forward - backward bi thermal quasiparticle amplitudes, and with the variational principle the thermal RPA equations are derived. The expression for the thermal QPM Hamiltonian in terms of thermal quasiparticles and thermal phonons is given which contains the interaction of these two types of excitation modes. The equation for the states taking into account the mixing of one- and two-thermal phonon components and the expression of the corresponding coupling matrix element are derived. (author). 16 refs.
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
JINR-E-4-94-275
Reference Number:
SCA: 663120; PA: AIX-26:013056; EDB-95:032498; SN: 95001325176
Resource Relation:
Other Information: DN: Invited talk at the fourth KINR International School on Nuclear Physics, Kiev (UK), Aug 29 - Sep 7, 1994.; PBD: 1994
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BOGOLYUBOV TRANSFORMATION; EXCITED STATES; QUASIPARTICLE-PHONON MODEL; DEGREES OF FREEDOM; GIANT RESONANCE; HEAVY IONS; RANDOM PHASE APPROXIMATION; THERMODYNAMICS; 663120; NUCLEAR STRUCTURE MODELS AND METHODS
OSTI ID:
10112681
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Country of Origin:
JINR
Language:
English
Other Identifying Numbers:
Other: ON: DE95613898; TRN: XJ9406537013056
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
16 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Vdovin, A I, and Kosov, D S. Extension of the QPM to T {ne} 0 Based on the Formalism of the Thermo Field Dynamics. JINR: N. p., 1994. Web.
Vdovin, A I, & Kosov, D S. Extension of the QPM to T {ne} 0 Based on the Formalism of the Thermo Field Dynamics. JINR.
Vdovin, A I, and Kosov, D S. 1994. "Extension of the QPM to T {ne} 0 Based on the Formalism of the Thermo Field Dynamics." JINR.
@misc{etde_10112681,
title = {Extension of the QPM to T {ne} 0 Based on the Formalism of the Thermo Field Dynamics}
author = {Vdovin, A I, and Kosov, D S}
abstractNote = {The way of extending the quasiparticle-phonon nuclear model (QPM) to finite temperature is presented. It is based on a formalism of the thermo field dynamics (TFD). After formal doubling of the single-particle degrees of freedom by introducing the so called tilde-states, the usual and thermal Bogolyubov transformations are carried out. The coefficients of the transformations are determined by minimizing the free energy potential of a hot nucleus in the thermal vacuum state taking into account only single particle and pairing terms of the QPM Hamiltonian. Then the thermal phonon operator is introduced as a linear superposition of forward - backward bi thermal quasiparticle amplitudes, and with the variational principle the thermal RPA equations are derived. The expression for the thermal QPM Hamiltonian in terms of thermal quasiparticles and thermal phonons is given which contains the interaction of these two types of excitation modes. The equation for the states taking into account the mixing of one- and two-thermal phonon components and the expression of the corresponding coupling matrix element are derived. (author). 16 refs.}
place = {JINR}
year = {1994}
month = {Dec}
}