Summary
It is shown that a modified Lee model in which a four-point interaction involving the N and θ particles is appended to the original trilinear interaction is soluble and provides a convenient example for the discussion of CDD poles. The parameters of the model may be selected in such a way as to allow the existence ofa) two stable particles, orb) one stable and one unstable particle with the quantum numbers of a V-particle. The N-θ scattering amplitude is compared with that of a Lee model with two V-particles.
Riassunto
Si dimostra che un modello di Lee modificato, in cui una interazione a quattro punti che coinvolge la particella N e θ è aggiunta all’interazione trilineare originaria, è risolubile e fornisce un esempio conveniente per la discussione dei poli di CDD. Si possono scegliere i parametri del modello in modo da consentire l’esistenza dia) due particelle stabili, ob) una particella stabile ed una particella instabile con i numeri quantici di una particella V. Si confronta l’ampiezza dello scattering N-θ con quella di un modello di Lee con due particelle V.
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Work done under the auspices of the U.S. Atomic Energy Commission.
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Marr, R.B., Shimamoto, Y. On a Lee model with a four-point coupling. Nuovo Cim 31, 599–614 (1964). https://doi.org/10.1007/BF02733759
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DOI: https://doi.org/10.1007/BF02733759