Summary
Two-particle states transforming according to standard representations of the inhomogeneous Lorentz group are constructed which, in the centre-of-mass system, are eigenstates of orbital and spin angular momentum operators. The connection between these and helicity states is derived and a recoupling coefficient for three-particle states in the former scheme found.
Riassunto
Si costruiscono stati di due particelle, che si trasformano secondo le rappresentazioni normali del gruppo di Lorentz non omogeneo e che, nel sistema del centro di massa sono autostati degli operatori del momento angolare orbitale e di spin. Si deduce la connessione fra questi e gli stati di elicità e si trova un coefflciente di riaceoppiamento per gli stati di tre particelle nello schema precedente.
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McKerrell, A. Relativistic two and three-particle states. Nuovo Cim 34, 1289–1305 (1964). https://doi.org/10.1007/BF02748855
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DOI: https://doi.org/10.1007/BF02748855