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• W2054937617 abstract "We investigate the properties of a three-particle final state within the context of the Lee model in order to determine if the overlap of two two-particle resonances might simulate a genuine three-particle resonance. The process $ensuremath{theta}+Vensuremath{rightarrow}ensuremath{theta}+ensuremath{theta}+N$ is examined. Matters have been so arranged that there is an $Nensuremath{theta}$ resonance called ${V}^{*}$. This can be brought about by introducing two elementary $V$ fields. The $Vensuremath{theta}$ sector remains exactly solvable and the method of solution is presented together with analytic expressions for the $Nensuremath{theta}$ scattering amplitude and the $Vensuremath{theta}$ elastic and production amplitudes. An analysis of the overlapping ${V}^{*}$ resonances in the final $Nensuremath{theta}ensuremath{theta}$ state shows that there is no effect not explicable in terms of two-particle phase space and simple one-particle-exchange dynamics. However, through a faulty selection of production events and a corresponding misapplication of unstable-particle theory, an apparent ${V}^{*}ensuremath{theta}$ resonance can be generated." @default.
• W2054937617 created "2016-06-24" @default.
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• W2054937617 date "1966-12-23" @default.
• W2054937617 modified "2023-09-25" @default.
• W2054937617 title "Overlapping Resonances in Three-Particle Final States" @default.
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• W2054937617 doi "https://doi.org/10.1103/physrev.152.1401" @default.
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