Influence of the g boson on the interacting boson approximation Hamiltonian

Keith A. Sage, Bruce R Barrett

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

The interacting boson approximation Hamiltonian for s and d bosons is renormalized in lowest order for the effects of the g boson using second-order perturbation theory in a single j shell approximation. In this paper only the correction term which renormalizes the single-boson energy is investigated in detail, with a specific application to the Ba isotopes. In the evaluation of this correction, the general form of the matrix elements of two-body quadrupole operators, taken between paired-fermion states, is obtained. Our numerical results for Ba indicate that the effects of the g boson on the single-boson energy are of the correct sign and magnitude and that a perturbative approach to including these effects appears to be appropriate. NUCLEAR STRUCTURE Interacting boson approximation, perturbation theory of g boson, calculated 2+ - 0+ splittings in Ba.

Original languageEnglish (US)
Pages (from-to)1765-1771
Number of pages7
JournalPhysical Review C - Nuclear Physics
Volume22
Issue number4
DOIs
StatePublished - 1980

Fingerprint

bosons
approximation
perturbation theory
isotopes
quadrupoles
fermions
operators
energy
evaluation
matrices

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Influence of the g boson on the interacting boson approximation Hamiltonian. / Sage, Keith A.; Barrett, Bruce R.

In: Physical Review C - Nuclear Physics, Vol. 22, No. 4, 1980, p. 1765-1771.

Research output: Contribution to journalArticle

@article{3cda89758d084c9e932cc992e3d0c12f,
title = "Influence of the g boson on the interacting boson approximation Hamiltonian",
abstract = "The interacting boson approximation Hamiltonian for s and d bosons is renormalized in lowest order for the effects of the g boson using second-order perturbation theory in a single j shell approximation. In this paper only the correction term which renormalizes the single-boson energy is investigated in detail, with a specific application to the Ba isotopes. In the evaluation of this correction, the general form of the matrix elements of two-body quadrupole operators, taken between paired-fermion states, is obtained. Our numerical results for Ba indicate that the effects of the g boson on the single-boson energy are of the correct sign and magnitude and that a perturbative approach to including these effects appears to be appropriate. NUCLEAR STRUCTURE Interacting boson approximation, perturbation theory of g boson, calculated 2+ - 0+ splittings in Ba.",
author = "Sage, {Keith A.} and Barrett, {Bruce R}",
year = "1980",
doi = "10.1103/PhysRevC.22.1765",
language = "English (US)",
volume = "22",
pages = "1765--1771",
journal = "Physical Review C - Nuclear Physics",
issn = "0556-2813",
publisher = "American Physical Society",
number = "4",

}

TY - JOUR

T1 - Influence of the g boson on the interacting boson approximation Hamiltonian

AU - Sage, Keith A.

AU - Barrett, Bruce R

PY - 1980

Y1 - 1980

N2 - The interacting boson approximation Hamiltonian for s and d bosons is renormalized in lowest order for the effects of the g boson using second-order perturbation theory in a single j shell approximation. In this paper only the correction term which renormalizes the single-boson energy is investigated in detail, with a specific application to the Ba isotopes. In the evaluation of this correction, the general form of the matrix elements of two-body quadrupole operators, taken between paired-fermion states, is obtained. Our numerical results for Ba indicate that the effects of the g boson on the single-boson energy are of the correct sign and magnitude and that a perturbative approach to including these effects appears to be appropriate. NUCLEAR STRUCTURE Interacting boson approximation, perturbation theory of g boson, calculated 2+ - 0+ splittings in Ba.

AB - The interacting boson approximation Hamiltonian for s and d bosons is renormalized in lowest order for the effects of the g boson using second-order perturbation theory in a single j shell approximation. In this paper only the correction term which renormalizes the single-boson energy is investigated in detail, with a specific application to the Ba isotopes. In the evaluation of this correction, the general form of the matrix elements of two-body quadrupole operators, taken between paired-fermion states, is obtained. Our numerical results for Ba indicate that the effects of the g boson on the single-boson energy are of the correct sign and magnitude and that a perturbative approach to including these effects appears to be appropriate. NUCLEAR STRUCTURE Interacting boson approximation, perturbation theory of g boson, calculated 2+ - 0+ splittings in Ba.

UR - http://www.scopus.com/inward/record.url?scp=26444559759&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=26444559759&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.22.1765

DO - 10.1103/PhysRevC.22.1765

M3 - Article

VL - 22

SP - 1765

EP - 1771

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 4

ER -