2021/03/19 by Víctor Miguel Banda Guzmán, Rubén Flores-Mendieta, Guzman, Victor Miguel Banda +4
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mechanical and Optical Resonators #Nuclear Theory (nucl-th) #Quantum Electrodynamics and Casimir Effect #Radioactive Decay and Measurement Techniques
paper · pdf · doi:10.48550/arxiv.2103.10822
openalex publication_date 2021/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Rotational bands are commonly used in the analysis of the spectra of atomic\nnuclei. The early version of the interacting boson model of Arima and Iachello\nhas been foundational to the description of rotations in nuclei. The model is\nbased on a unitary spectrum generating algebra U(6) and an orthogonal\n(angular momentum) symmetry algebra SO(3). A solvable limit of the model\ncontains SU(3) in its dynamical symmetry chain. The corresponding Hamiltonian\nis written as a linear combination of linear and quadratic Casimir invariants\nof all the algebras in the chain. Prompted by these facts, a Hamiltonian\ncontaining the SU(3) quadratic Casimir squared is proposed to evaluate its\neffects on rotational bands. The additional term yields three undetermined\nparameters into the theory, which need be obtained from experiment. The lack of\ndata does not allow one to perform a detailed numerical analysis, but a rather\nrestricted one in terms of a one-parameter fit. Nevertheless, these additional\nterms provide a good description of rotational bands of two nuclei of interest,\n156\Ga and 234\U.\n