P-matrix analysis of the dibaryon 1D2 resonance

We study the relation between intermediate energy nucleon-nucleon scattering and the eigenstates of the bag model using the P-matrix formalism. Data of existing phase-shift analyses are employed to calculate the P-matrix for the coupled 1D2(pp) and 5S2(NΔ) channels in the energy region above the Δ-isobar production threshold. The P-matrix calculated for the equivalent hadronic bag redii b=1.4-1.5 fm is shown to have a pole in the mass range 2.31-2.34 GeV in agreement with the MIT bag model prediction of the I=1, Jsup(P)=2+ 6- quark state with the mass 2.34 GeV. The hadronic shift of this state is shown to be proportional200 MeV; the dibaryon pole of the S-matrix is located at the energy 2.15-2.17 GeV with the width proportional100-200 MeV. (orig.)