Toward establishing low-lying Λ and Σ hyperon resonances with the (K)over-bar + d → π plus Y plus N reaction

Amodel for the (K) over bard -> pi YN reactions with Y = Lambda, Sigma is developed, aiming at establishing the low-lying Lambda and Sigma hyperon resonances through analyzing the forthcoming data from the J-PARC E31 experiment. The off-shell amplitudes generated from the dynamical coupled-channels (DCC) model, which was developed in Kamano et al. [ Phys. Rev. C 90, 065204 (2014)], are used as input to the calculations of the elementary (K) over barN -> (K) over bar N and (K) over bar N -> pi Y subprocesses in the (K) over bard -> pi YN reactions. It is shown that the cross sections for the J-PARC E31 experiment with a rather high incoming-(K) over bar momentum, vertical bar(p) over bar (K)vertical bar = 1 GeV, can be predicted reliably only when the input (K) over bar N -> (K) over bar N amplitudes are generated from a (K) over bar N model, such as the DCC model used in this investigation, which describes the data of the (K) over bar N reactions at energies far beyond the (K) over bar N threshold. We find that the data of the threefold differential cross section d sigma/(dM(pi Sigma)d Omega(pn)) for the K(-)d -> pi Sigma n reaction below the (K) over bar N threshold can be used to test the predictions of the resonance poles associated with Lambda (1405). We also find that the momentum dependence of the threefold differential cross sections for the K(-)d -> pi(-)Lambda p reaction can be used to examine the existence of a low-lying J(P) = 1/2(+) Sigma resonance with a pole mass M-R = 1457-i39 MeV, which was found from analyzing the K(-)p reaction data within the employed DCC model.