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Experimental and theoretical consequences of the fact that resonance poles may appear on more than one Riemann sheet of the S matrix are discussed. Application is made to resonances that belong to multiplets in the unitary symmetry scheme SU(3). A model is presented for the nchannel problem that is based on a sum of self-energy diagrams. The behavior of the resonandce multiplets of the scheme SU(3) when the symmetry is broken is shown to be simply explained if the resonances not only have a dominant pole but also a series of shadow poles. (R.E.U.)
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Eden et al. (1963) studied this question.
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