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Relativistic two and three-particle states

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Il Nuovo Cimento (1955-1965)

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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References

  1. E. P. Wigner:Ann. Math.,40, 149 (1939).

    Article  ADS  MathSciNet  Google Scholar 

  2. G. C. Wick:Ann. Phys.,18, 65 (1962). We refer to this paper as W.

    Article  ADS  MathSciNet  Google Scholar 

  3. A. J. Macfaklaxe:Journ. Math. Phys.,4, 490 (1963), referred to as M.

    Article  ADS  Google Scholar 

  4. A. R. Edmonds:Angular Momentum in Quantum Mechanics (Princeton, 1957).

  5. L. Durand: inLectures in Theoretical Physics, vol.4, Ed. Brittin, Downs and Dowxs (New York and London, 1962).

  6. M. Jacob andG. C. Wick:Ann. Phys.,7, 404 (1959).

    Article  ADS  MathSciNet  Google Scholar 

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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

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