TY - JOUR
T1 - g-Boson renormalization effects in the interacting Boson model for nondegenerate orbits
AU - Duval, P. D.
AU - Pittel, S.
AU - Barrett, B. R.
AU - Druce, C. H.
N1 - Funding Information:
A nonperturbative model-space truncation procedure is utilized to include the effects of a single g boson on the parameters of the neutron-proton Interacting Boson Model in the realistic case of nondegenerate single-particle orbits. Particular emphasis is given to the single-boson energies ed ^ (p = u, 7r), with numerical results presented for the even isotopes of Hg. Only part of the observed renormalization is ob(ained. Possible sources of further renormalizations to edO are discussed. Results are also presented for the renormalizations of the boson quadrupole parameters K and Xp- At an empirical level, the Interacting Boson Model (IBM) \[1\ ] has provided a highly successful description of the collective properties exhibited by nuclei away from closed shells. There is currently great interest in providing a microscopic foundation for the phenomenology inherent in the IBM and much progress has recently been made \[2-6\].P reliminary predictions for the IBM quadrupole parameters ~ and Xp (/9 = u, 7r) are in qualitative agreement with the results of empirical fits \[2,3\].I t remains, however, to have a good description of the IBM parameters edp , which give the 1 Supported in part by NSF Grant No. PHY-81-08380. 2 Supported in part by NSF Grant No. PHY-82-16209. 3 Supported in part by NSF Grant No. PHY-81-O0141. 4 Supported in part by NSF Grant No. PHY-77-27084. s Permanent address.
Funding Information:
Part of this work was carried out at institutions whose hospitality and support we wish to acknowledge: PDD is grateful to Bruy~res-le-Ch~tel and CHD wishes to express his appreciation to Professor Martin Pome-rantz and the Bartol Research Foundation. Useful conversations with Alejandro Frank, Piet Van Isacker, Steven Koonin and in particular Olaf Scholten are also gratefully acknowledged.
PY - 1983/9/29
Y1 - 1983/9/29
N2 - A nonperturbative model-space truncation procedure is utilized to include the effects of a single g boson on the parameters of the neutron-proton Interacting Boson Model in the realistic case of nondegenerate single-particle orbits. Particular emphasis is given to the single-boson energies ε{lunate}dρ{variant} (ρ{variant} = v, π), with numerical results presented for the even isotopes of Hg. Only part of the observed renormalization is obtained. Possible sources of further renormalizations to ε{lunate}dρ{variant} are discussed. Results are also presented for the renormalizations of the boson quadrupole parameters κ and χρ{variant}.
AB - A nonperturbative model-space truncation procedure is utilized to include the effects of a single g boson on the parameters of the neutron-proton Interacting Boson Model in the realistic case of nondegenerate single-particle orbits. Particular emphasis is given to the single-boson energies ε{lunate}dρ{variant} (ρ{variant} = v, π), with numerical results presented for the even isotopes of Hg. Only part of the observed renormalization is obtained. Possible sources of further renormalizations to ε{lunate}dρ{variant} are discussed. Results are also presented for the renormalizations of the boson quadrupole parameters κ and χρ{variant}.
UR - http://www.scopus.com/inward/record.url?scp=26744444388&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=26744444388&partnerID=8YFLogxK
U2 - 10.1016/0370-2693(83)90667-6
DO - 10.1016/0370-2693(83)90667-6
M3 - Article
AN - SCOPUS:26744444388
VL - 129
SP - 289
EP - 293
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 5
ER -