Abstract
We construct a new quantum relativistic oscillator (QRO) based on the spectrum generating group SO(3,2). We show that all the features of the three-dimensional harmonic oscillator are recovered in the non-relativistic limit. This QRO gives a classification of hadrons that leads to the linear Regge trajectories; moreover, the Regge slopes are SU(3) invariant.
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© 1986 Springer-Verlag
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Magnollay, P. (1986). A new quantum relativistic oscillator and the hadron mass spectrum. In: Barut, A.O., Doebner, H.D. (eds) Conformal Groups and Related Symmetries Physical Results and Mathematical Background. Lecture Notes in Physics, vol 261. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540171630_67
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DOI: https://doi.org/10.1007/3540171630_67
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17163-8
Online ISBN: 978-3-540-47219-3
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