Shell-model operator for K-band splitting

Authors

H. A. Naqvi, Louisiana State University
J. P. Draayer, Louisiana State University

Document Type

Article

Publication Date

9-24-1990

Abstract

A microscopic shell-model operator that generates K-band splitting is introduced. An analytic matrix representation for this K² operator is given in angular momentum projected states of the SU(3) ⊃ SO(3) group reduction. The K² operator can also be used to resolve multiple occurrences of L-values in SU(3) representations, that is, it provides for a resolution of the SU(3) ⊃ SO(3) state labelling problem. Results for the leading SU(3) representations of ²⁴Mg and ¹⁶⁸Er, with (λ, μ) = (8, 4) and (30, 8) respectively, are presented to show that K² is very nearly diagonal in an angular momentum projected SU(3) ⊃ SO(3) basis. An analysis of K-band splitting for ²⁴Mg and ¹⁶⁸Er is used to demonstrate the utility of the theory for carrying out shell-model calculations. © 1990.

Publication Source (Journal or Book title)

Nuclear Physics Section A

First Page

351

Last Page

364

Recommended Citation

Naqvi, H., & Draayer, J. (1990). Shell-model operator for K-band splitting. Nuclear Physics Section A, 516 (2), 351-364. https://doi.org/10.1016/0375-9474(90)90313-B