TY - JOUR
T1 - Influence of the g boson on the interacting boson approximation Hamiltonian
AU - Sage, Keith A.
AU - Barrett, Bruce R.
PY - 1980/1/1
Y1 - 1980/1/1
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
AN - SCOPUS:26444559759
VL - 22
SP - 1765
EP - 1771
JO - Physical Review C - Nuclear Physics
JF - Physical Review C - Nuclear Physics
SN - 0556-2813
IS - 4
ER -