Influence of the g boson on the interacting boson approximation Hamiltonian

Journal Article · Wed Oct 01 04:00:00 EDT 1980 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.22.1765· OSTI ID:5051298

Sage, K A; Barrett, B R

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.

• Research Organization: Department of Physics, University of Arizona, Tucson, Arizona 85721
• OSTI ID: 5051298
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 22:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

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