Towards a satisfactory microscopic description of 2[sub 1][sup +] g factors

Journal Article · Tue Nov 01 04:00:00 EST 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.50.2362· OSTI ID:6948270

Davis, E D; Navratil, P ^[1]

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1. Fisika Departement, Universiteit van Stellenbosch, 7599 Stellenbosch (South Africa) Instituut vir Teoretiese Fisika, Universiteit van Stellenbosch, 7599 Stellenbosch (South Africa) Institute of Nuclear Physics, Czech Academy of Sciences, 250 68 Rez near Prague (Czech Republic)

We investigate the possibility that microscopic boson [ital g] factor estimates may require revision and consider the impact on 2[sub 1][sup +] [ital g] factors of the difference [epsilon][sub [ital v]] between the neutron and proton [ital d] boson energies found typically in microscopic evaluations of interacting boson model parameters. We recalculate microscopic estimates for both [ital d] and [ital g] boson [ital g] factors, this time using the similarity-transformed Dyson boson mapping approach. Modulo more pronounced variation at the beginning and end of shells, our results confirm previous estimates by other methods. Differences between [ital d] and [ital g] boson factors are too small for the inclusion of [ital g] bosons to have a significant effect on 2[sub 1][sup +] [ital g] factor predictions. Instead, we present qualitative and semiquantitative arguments in support of the contention that [ital microscopic] estimates of [epsilon][sub [ital v]] (taken in conjunction with our microscopic boson [ital g] factors) can, by and large, account for the systematics of 2[sub 1][sup +] [ital g] factors in the [ital Z]=50-to-82 and [ital N]=82-to-126 shells. Detailed calculations for [sup 148]Sm and [sup 154]Sm are consistent with this assertion provided the Majorana interaction strength [xi][sub 2] is negligible. Our detailed calculations suggest substantial [ital F]-spin admixtures in the 2[sub 1][sup +] states of [sup 148]Sm (at the 20% level or more) and the members of ground-state band of [sup 154]Sm (9% or so), and point to the existence of a mixed-symmetric [beta] bandhead in [sup 154]Sm at below 2 MeV.

• OSTI ID: 6948270
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 50:5; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA DECAY RADIOISOTOPES
BOSONS
COLLECTIVE EXCITATIONS
COLLECTIVE MODEL
ENERGY-LEVEL TRANSITIONS
EVEN-EVEN NUCLEI
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GYROMAGNETIC RATIO
INTERACTING BOSON MODEL
INTERMEDIATE MASS NUCLEI
ISOTOPES
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEI
RADIOISOTOPES
RARE EARTH ISOTOPES
RARE EARTH NUCLEI
SAMARIUM 148
SAMARIUM ISOTOPES
SHELL MODELS
STABLE ISOTOPES
YEARS LIVING RADIOISOTOPES