Angular-momentum structure of the yrast bands of deformed nuclei

Journal Article · Sun Jun 01 04:00:00 EDT 1997 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.55.2885· OSTI ID:509094

Kahane, S; Raman, S ^[1]; Bhatt, K H ^[2]

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1. Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States)
2. Department of Physics and Astronomy, University of Mississippi, University, Mississippi 38677 (United States)

We have quantitatively analyzed the wave functions of the low-lying yrast states of deformed, heavy nuclei (specifically {sup 238}U and {sup 168}Er) given by different models to determine the relative contribution of the valence nucleons to the total angular momentum of the nucleus. In all models, an yrast state is generated, as expected, by collective contributions from both proton and neutron angular momenta. We have also examined the relative contribution of valence nucleons in the normal-parity states and in the abnormal-parity, high-j, intruder states to the yrast angular momentum. If the states with definite angular momenta projected from the Nilsson intrinsic state of the nucleus are assumed to provide a good approximation to the structure of the yrast band, the contribution of nucleons in the abnormal-parity states to the yrast angular momentum is shown to be about the same as that of nucleons in the normal-parity states. This result is in marked contrast to the assumption made in two prominent models (pseudo-SU{sub 3} model and its symplectic extension and fermion dynamic symmetric model) that the nucleons in abnormal-parity states, do not, in the first approximation, contribute any angular momentum to the yrast band. We also find that the distribution of angular momenta contained in the intrinsic state of the abnormal-parity nucleons in the j{sup n} configuration, which does not have any SU{sub 3} symmetry, is surprisingly similar to the distribution of angular momenta contained in an SU{sub 3} intrinsic state with the same average value of angular momentum. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: Oak Ridge National Laboratory
• DOE Contract Number: AC05-96OR22464; FG05-87ER40361
• OSTI ID: 509094
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 6 Vol. 55; ISSN PRVCAN; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANGULAR MOMENTUM
DEFORMED NUCLEI
ERBIUM 168
HEAVY NUCLEI
NEUTRONS
PARITY
PROTONS
SU-3 GROUPS
URANIUM 238
WAVE FUNCTIONS
YRAST STATES