IBM hamiltonian, Bohr collective hamiltonian and classical limit for an exactly soluble model with the symmetry of O(5)

Abraham Klein, Helga Rafelski, Johann Rafelski

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Interacting boson model (IBM), Bohr collective hamiltonian and adiabatic collective model descriptions are derived from a shell model (describing pairing plus two-dimensional quadrupole-quadrupole interactions) with the symmetry of the Lie algebra O(5). The tools utilized for these purposes are three boson mappings from the fermion pair space, two exact and one approximate. Adiabatic descriptions are derived by two distinct methods. The extension of the methods of this paper to more realistic models is outlined.

Original languageEnglish (US)
Pages (from-to)189-206
Number of pages18
JournalNuclear Physics, Section A
Volume355
Issue number1
DOIs
StatePublished - Mar 2 1981
Externally publishedYes

Fingerprint

bosons
symmetry
quadrupoles
algebra
fermions
interactions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

IBM hamiltonian, Bohr collective hamiltonian and classical limit for an exactly soluble model with the symmetry of O(5). / Klein, Abraham; Rafelski, Helga; Rafelski, Johann.

In: Nuclear Physics, Section A, Vol. 355, No. 1, 02.03.1981, p. 189-206.

Research output: Contribution to journalArticle

@article{79ae65aa0daa4763a66938de3fe7fa91,
title = "IBM hamiltonian, Bohr collective hamiltonian and classical limit for an exactly soluble model with the symmetry of O(5)",
abstract = "Interacting boson model (IBM), Bohr collective hamiltonian and adiabatic collective model descriptions are derived from a shell model (describing pairing plus two-dimensional quadrupole-quadrupole interactions) with the symmetry of the Lie algebra O(5). The tools utilized for these purposes are three boson mappings from the fermion pair space, two exact and one approximate. Adiabatic descriptions are derived by two distinct methods. The extension of the methods of this paper to more realistic models is outlined.",
author = "Abraham Klein and Helga Rafelski and Johann Rafelski",
year = "1981",
month = "3",
day = "2",
doi = "10.1016/0375-9474(81)90137-8",
language = "English (US)",
volume = "355",
pages = "189--206",
journal = "Nuclear Physics A",
issn = "0375-9474",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - IBM hamiltonian, Bohr collective hamiltonian and classical limit for an exactly soluble model with the symmetry of O(5)

AU - Klein, Abraham

AU - Rafelski, Helga

AU - Rafelski, Johann

PY - 1981/3/2

Y1 - 1981/3/2

N2 - Interacting boson model (IBM), Bohr collective hamiltonian and adiabatic collective model descriptions are derived from a shell model (describing pairing plus two-dimensional quadrupole-quadrupole interactions) with the symmetry of the Lie algebra O(5). The tools utilized for these purposes are three boson mappings from the fermion pair space, two exact and one approximate. Adiabatic descriptions are derived by two distinct methods. The extension of the methods of this paper to more realistic models is outlined.

AB - Interacting boson model (IBM), Bohr collective hamiltonian and adiabatic collective model descriptions are derived from a shell model (describing pairing plus two-dimensional quadrupole-quadrupole interactions) with the symmetry of the Lie algebra O(5). The tools utilized for these purposes are three boson mappings from the fermion pair space, two exact and one approximate. Adiabatic descriptions are derived by two distinct methods. The extension of the methods of this paper to more realistic models is outlined.

UR - http://www.scopus.com/inward/record.url?scp=4243767244&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243767244&partnerID=8YFLogxK

U2 - 10.1016/0375-9474(81)90137-8

DO - 10.1016/0375-9474(81)90137-8

M3 - Article

AN - SCOPUS:4243767244

VL - 355

SP - 189

EP - 206

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 1

ER -