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The intrinsic difficulties in extracting the hadron resonances from reaction data are illustrated by using several exactly soluble $$\pi \pi $$ π π scattering models. The finite-volume Hamiltonian method is applied to predict spectra using two meson-exchange Hamiltonians of $$\pi N$$ π N reactions. Within a three-channel model with $$\pi N$$ π N , $$\pi {\varDelta...
Within a multi-channels multi-resonances reaction model of pion nucleon reactions, we examine the properties of the nucleon resonances with masses less than 2 GeV. The Roper resonance and the second resonance in P11 are found to evolve dynamically from the same bare state. With the exception of the P13 and P31 resonances, our resonance pole positions agree well with the 3 and 4 star resonances...
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