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A version of the Quasiparticle-Phonon Nuclear Model for doubly-even well-deformed nuclei

Abstract

The basic assumptions concerning the Quasiparticle-Phonon Nuclear Model are formulated and the mathematical apparatus is developed. The Hamiltonian, containing a finite-rank separable isoscalar and isovector multipole, a spin-multipole and a tensor particle-hole as well as particle-particle interactions transforms to a form containing quasiparticle, phonon and quasiparticle-phonon interactions. The general RPA equation is derived and the particular cases are discussed. The very complex interaction does not complicate the description of the fragmentation one-phonon states. It is shown that the three-phonon terms added to the one- and two-phonon terms in the wave function lead to an additional small shift of the two-phonon poles in the secular equation. The influence of the density-dependent separable interaction on the vibrational states is small. A common description of the collective, weakly collective and two-quasiparticle states in doubly-even well-deformed nuclei is obtained. (author).
Authors:
Publication Date:
Jun 01, 1992
Product Type:
Technical Report
Report Number:
INS-937
Reference Number:
SCA: 663120; PA: JPN-93:002078; SN: 93000952274
Resource Relation:
Other Information: PBD: Jun 1992
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; QUASIPARTICLE-PHONON MODEL; NUCLEAR DEFORMATION; HAMILTONIANS; MULTIPOLES; COLLECTIVE MODEL; RANDOM PHASE APPROXIMATION; WAVE FUNCTIONS; EXCITED STATES; 663120; NUCLEAR STRUCTURE MODELS AND METHODS
OSTI ID:
10130333
Research Organizations:
Tokyo Univ., Tanashi (Japan). Inst. for Nuclear Study
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Other: ON: DE93771242; TRN: JP9302078
Availability:
OSTI; NTIS; INIS
Submitting Site:
JPN
Size:
39 p.
Announcement Date:
Jul 04, 2005

Citation Formats

Soloviev, V G. A version of the Quasiparticle-Phonon Nuclear Model for doubly-even well-deformed nuclei. Japan: N. p., 1992. Web.
Soloviev, V G. A version of the Quasiparticle-Phonon Nuclear Model for doubly-even well-deformed nuclei. Japan.
Soloviev, V G. 1992. "A version of the Quasiparticle-Phonon Nuclear Model for doubly-even well-deformed nuclei." Japan.
@misc{etde_10130333,
title = {A version of the Quasiparticle-Phonon Nuclear Model for doubly-even well-deformed nuclei}
author = {Soloviev, V G}
abstractNote = {The basic assumptions concerning the Quasiparticle-Phonon Nuclear Model are formulated and the mathematical apparatus is developed. The Hamiltonian, containing a finite-rank separable isoscalar and isovector multipole, a spin-multipole and a tensor particle-hole as well as particle-particle interactions transforms to a form containing quasiparticle, phonon and quasiparticle-phonon interactions. The general RPA equation is derived and the particular cases are discussed. The very complex interaction does not complicate the description of the fragmentation one-phonon states. It is shown that the three-phonon terms added to the one- and two-phonon terms in the wave function lead to an additional small shift of the two-phonon poles in the secular equation. The influence of the density-dependent separable interaction on the vibrational states is small. A common description of the collective, weakly collective and two-quasiparticle states in doubly-even well-deformed nuclei is obtained. (author).}
place = {Japan}
year = {1992}
month = {Jun}
}