Abstract
In a recent publication Moshinsky and Szczepaniak considered a one particle Dirac equation linear in both momenta and coordinates. As in the nonrelativistic limit it gave a Hamiltonian containing an ordinary oscillator, the equation was referred to as that of a Dirac oscillator. In this paper we extend the concept of Dirac oscillator interactions to a system of n particles showing that it can be derived in a relativistically invariant way. Thus the eigenstates for the mass operators of Dirac oscillators with 2 or 3 particles, that were discussed in previous publications, are basis for irreducible representations of the Poincare group, and they can be used to derive a relativistic mass formula for baryons.
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References
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© 1991 Springer-Verlag
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Moshinsky, M., Loyola, G., Villegast, C. (1991). Relativistic invariance of a many body system with a Dirac oscillator interaction. In: Dodonov, V.V., Man'ko, V.I. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54040-7_127
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DOI: https://doi.org/10.1007/3-540-54040-7_127
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