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 language | English (US) |
|---|---|
| Pages (from-to) | 1765-1771 |
| Number of pages | 7 |
| Journal | Physical Review C - Nuclear Physics |
| Volume | 22 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1980 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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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 journal › Article
}
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.
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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 -