Influence of the g boson on the interacting boson approximation Hamiltonian

Keith A. Sage, Bruce R. Barrett

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29 Scopus citations

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
Volume22
Issue number4
DOIs
StatePublished - Jan 1 1980

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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