A momentum-space Faddeev calculation with Malfliet-Tjon and HAL QCD potentials predicts phi-nucleon-nucleon bound states and no J/psi-nucleon-nucleon bound state.
N phi state in chiral quark model
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abstract
The structures of N phi states with spin-parity J^{p}=3/2^- and J^p=1/2^- are dynamically studied in both the chiral SU(3) quark model and the extended chiral SU(3) quark model by solving a resonating group method (RGM) equation. The model parameters are taken from our previous work, which gave a satisfactory description of the energies of the baryon ground states, the binding energy of the deuteron, the nucleon-nucleon (NN) scattering phase shifts, and the hyperon-nucleon (YN) cross sections. The channel coupling of N phi and Lambda K* is considered, and the effect of the tensor force which results in the mixing of S and D waves is also investigated. The results show that the N phi state has an attractive interaction, and in the extended chiral SU(3) quark model such an attraction plus the channel coupling effect can consequently make for an N phi quasi-bound state with several MeV binding energy.
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Faddeev equations for the $J/\psi\,NN$ and $\phi\,NN$ three-body systems in momentum space
A momentum-space Faddeev calculation with Malfliet-Tjon and HAL QCD potentials predicts phi-nucleon-nucleon bound states and no J/psi-nucleon-nucleon bound state.