Abstract
An analysis of the baryon spectra using harmonic oscillator states has been carried out by many authors, usually in a nonrelativistic approximation, and employing a great number of parameters. In the present paper we perform this analysis using a single relativistic equation that has only one parameter, the frequency w of the oscillator. By eliminating the center of mass motion, the problem can be formulated in terms of the generators of an SU(2) group, and Racah algebra allows us then to obtain a reasonable energy spectra for nonstrange baryons, by appropriately choosing our single variational parameter w.
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Moshinsky, M. (2001). The Relativistic Oscillator and the Mass Spectra of Baryons. In: Saint-Aubin, Y., Vinet, L. (eds) Algebraic Methods in Physics. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0119-6_12
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DOI: https://doi.org/10.1007/978-1-4613-0119-6_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6528-3
Online ISBN: 978-1-4613-0119-6
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