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We investigate Λ(1405), ∆(1232), and  N* (1440) as resonances in the baryon-meson scattering with bound  states embedded in the continuum (BSEC). This BSEC is introduced by hand, as a  state not originated from a simple baryon-meson system. We assume it comes from  the three-quark state. The resonances are successfully reproduced by this  scheme. As for the Λ(1405) resonance, it is found that our  calculation can give an appropriate energy and width for the peak and reproduces  the ${m N}ar{K}$ scattering length when the BSEC contribution to the resonance is roughly  half of that of the ${m N}ar{K}$  channel. The energy of the three-quark pole for  ∆(1232) is taken to be 1327 MeV, which comes down to 1232  MeV after the mixing to the Nπ and ∆π  scattering states is included. The nucleon also gets the self energy of about  130 MeV, so the N∆ mass dierence, which is one of the key  values in the quark model, does not change much. It also found that the positive  parity excited nucleon mass can be reduced by more than 400 MeV and become  around 1440 MeV after the mixing to the continuum is taken into account

Baryon resonances in the baryon meson scattering coupled to the q3-state

Baryon resonances in the baryon meson scattering coupled to the q³-state