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Rotational bands beyond the Elliott model

Journal Article · · Journal of Physics. G, Nuclear and Particle Physics

Rotational bands are commonplace in the spectra of atomic nuclei. Inspired by early descriptions of these bands by quadrupole deformations of a liquid drop, Elliott constructed discrete nucleon representations of SU(3) from fermionic creation and annihilation operators. Ever since, Elliott's model has been foundational to descriptions of rotation in nuclei. Later work, however, suggested the symplectic extension Sp(3, R) provides a more unified picture. We decompose no-core shell-model nuclear wave functions into symmetry-defined subspaces for several beryllium isotopes, as well as 20Ne, using the quadratic Casimirs of both Elliott's SU(3) and Sp(3, R). The band structure, delineated by strong B(E2) values, has a more consistent description in Sp(3, R) rather than SU(3). In particular, we confirm previous work finding in some nuclides strongly connected upper and lower bands with the same underlying symplectic structure.

Research Organization:
Univ. of Washington, Seattle, WA (United States); San Diego State Univ., CA (United States); Univ. of Notre Dame, IN (United States); Univ. of California, Oakland, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC) Nuclear Physics (NP)
Grant/Contract Number:
FG02-00ER41132; FG02-03ER41272; FG02-95ER40934; AC02-05CH11231
OSTI ID:
1864860
Alternate ID(s):
OSTI ID: 23170325
Journal Information:
Journal of Physics. G, Nuclear and Particle Physics, Journal Name: Journal of Physics. G, Nuclear and Particle Physics Journal Issue: 7 Vol. 48; ISSN 0954-3899
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

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