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SU(6) quadrupole phonon model for even and odd nuclei and the SU(3) limit

Abstract

Analogous to the equivalence between the SU(6) quadrupole-phonon model (TQM) and the interacting boson model (IBM), the equivalence is pointed out for odd systems between the SU(6) particle quadrupole-phonon coupling model (PTQM) and the interacting boson-fermion model (IBFM). PTQM is formulated starting from the Dyson representation for the odd system. Different aspects of the SU(3) limit of TQM and PTQM are studied; the quadrupole-phonon block structure of rotational bands in even and odd nuclei and analytic expressions based on the coherent state; signature effects generated in PTQM; electromagnetic properties and correction factors for PTQM; overlaps of the PTQM analogs of Nilsson states with Coriolis-coupled Nilsson states and the relation to the rotational model representation.
Authors:
Paar, V; Brant, S; [1]  Canto, L F; [2]  Leander, G; [3]  Oak Ridge National Lab., TN (USA)); Vouk, M [4] 
  1. Zagreb Univ. (Yugoslavia). Prirodoslovno Matematicki Fakultet
  2. Rio de Janeiro Univ. (Brazil). Inst. de Fisica
  3. Lund Inst. of Tech. (Sweden). Dept. of Mathematical Physics
  4. Zagreb Univ. (Yugoslavia). Computing Centre SRCE
Publication Date:
Apr 05, 1982
Product Type:
Journal Article
Reference Number:
AIX-13-682610; ERA-07-052208; EDB-82-134597
Resource Relation:
Journal Name: Nucl. Phys. A; (Netherlands); Journal Volume: 378:1
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; NUCLEAR MODELS; PHONONS; CORIOLIS FORCE; CORRECTIONS; DYSON REPRESENTATION; E2-TRANSITIONS; EVEN-EVEN NUCLEI; INTERACTING BOSON MODEL; M1-TRANSITIONS; MAGNETIC DIPOLE MOMENTS; NILSSON-MOTTELSON MODEL; NUCLEAR ELECTRIC MOMENTS; NUCLEAR MAGNETIC MOMENTS; ODD-EVEN NUCLEI; QUADRUPOLE MOMENTS; QUADRUPOLES; QUANTUM OPERATORS; ROTATIONAL STATES; STRENGTH FUNCTIONS; SU-3 GROUPS; SU-6 GROUPS; WAVE FUNCTIONS; DIPOLE MOMENTS; ELECTRIC MOMENTS; ENERGY LEVELS; ENERGY-LEVEL TRANSITIONS; EXCITED STATES; FUNCTIONS; LIE GROUPS; MAGNETIC MOMENTS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MULTIPOLE TRANSITIONS; MULTIPOLES; NUCLEAR PROPERTIES; NUCLEI; QUASI PARTICLES; SHELL MODELS; SU GROUPS; SYMMETRY GROUPS; 653007* - Nuclear Theory- Nuclear Models- (-1987)
OSTI ID:
5227020
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: NUPAB
Submitting Site:
HEDB
Size:
Pages: 41-76
Announcement Date:
Jun 01, 1982

Citation Formats

Paar, V, Brant, S, Canto, L F, Leander, G, Oak Ridge National Lab., TN (USA)), and Vouk, M. SU(6) quadrupole phonon model for even and odd nuclei and the SU(3) limit. Netherlands: N. p., 1982. Web.
Paar, V, Brant, S, Canto, L F, Leander, G, Oak Ridge National Lab., TN (USA)), & Vouk, M. SU(6) quadrupole phonon model for even and odd nuclei and the SU(3) limit. Netherlands.
Paar, V, Brant, S, Canto, L F, Leander, G, Oak Ridge National Lab., TN (USA)), and Vouk, M. 1982. "SU(6) quadrupole phonon model for even and odd nuclei and the SU(3) limit." Netherlands.
@misc{etde_5227020,
title = {SU(6) quadrupole phonon model for even and odd nuclei and the SU(3) limit}
author = {Paar, V, Brant, S, Canto, L F, Leander, G, Oak Ridge National Lab., TN (USA)), and Vouk, M}
abstractNote = {Analogous to the equivalence between the SU(6) quadrupole-phonon model (TQM) and the interacting boson model (IBM), the equivalence is pointed out for odd systems between the SU(6) particle quadrupole-phonon coupling model (PTQM) and the interacting boson-fermion model (IBFM). PTQM is formulated starting from the Dyson representation for the odd system. Different aspects of the SU(3) limit of TQM and PTQM are studied; the quadrupole-phonon block structure of rotational bands in even and odd nuclei and analytic expressions based on the coherent state; signature effects generated in PTQM; electromagnetic properties and correction factors for PTQM; overlaps of the PTQM analogs of Nilsson states with Coriolis-coupled Nilsson states and the relation to the rotational model representation.}
journal = []
volume = {378:1}
journal type = {AC}
place = {Netherlands}
year = {1982}
month = {Apr}
}