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.
Zbikowski, Ryan, Johnson, Calvin W., McCoy, Anna E., Caprio, Mark A., & Fasano, Patrick J. (2021). Rotational bands beyond the Elliott model. Journal of Physics. G, Nuclear and Particle Physics, 48(7). https://doi.org/10.1088/1361-6471/abdd8e
Zbikowski, Ryan, Johnson, Calvin W., McCoy, Anna E., et al., "Rotational bands beyond the Elliott model," Journal of Physics. G, Nuclear and Particle Physics 48, no. 7 (2021), https://doi.org/10.1088/1361-6471/abdd8e
@article{osti_1864860,
author = {Zbikowski, Ryan and Johnson, Calvin W. and McCoy, Anna E. and Caprio, Mark A. and Fasano, Patrick J.},
title = {Rotational bands beyond the Elliott model},
annote = {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.},
doi = {10.1088/1361-6471/abdd8e},
url = {https://www.osti.gov/biblio/1864860},
journal = {Journal of Physics. G, Nuclear and Particle Physics},
issn = {ISSN 0954-3899},
number = {7},
volume = {48},
place = {United States},
publisher = {IOP Publishing},
year = {2021},
month = {05}}
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)
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