Influence of the g boson on the interacting boson approximation Hamiltonian
1980; American Institute of Physics; Volume: 22; Issue: 4 Linguagem: Inglês
10.1103/physrevc.22.1765
ISSN1538-4497
Autores Tópico(s)Cold Atom Physics and Bose-Einstein Condensates
ResumoThe 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.
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