Studies On J/ψ → P(?)ωdecay With Final State Interaction

The investigation of excited baryons is very important in understanding the internal structure of baryon and the strong interaction in the nonperturbative quantum chromodynamics (NPQCD) regime. To complete the baryon spectroscopy is one of our aims in the investigation of excited baryons. In the past we got information about baryon spectroscopy mostly from studies on the scattering of πN and KN. The hadronic decay of J/ψ provides a new effective way to study hadron physics.J/ψ → NN|-M (M denotes mesons) decay is a good place of studying N*. When M is a lighter meson, the contribution of nucleon-pole is great. But, when M is a heavier one, like ω, the case is different by incorporating form factor in the consideration of off-shell effect. This indicates that there is something others dominant. This paper is propelled by that to study the J/ψ → pp|-ω decay with the final state interaction.In This paper, we use the Chiral Unitary approach to get the p(p|-)ω interaction Lagrangians , and cut the loop, which is generated by incorporating the final state interaction of pω or p|-ω, with on-shell approximation . In fact this procedure can't virtually cut the loop, but for convenience in computation. How to incorporate the two parts and the loop is the main task of this paper. Some methods have been proposed , but there are some problems in using them and we give the reasons.Once loop integral is concerned, we have to deal with the divergence. There are two method to deal with it, Cut-off Method and Dimensional Regularization Method. However, there some problems in the Cut-off Method , which is used widely for its simplicity. We still use the Cut-off Method , because it is proved that if the cut-off is proper, one can go without any worry. In the last , we do Monte-Carlo simulation for J/ψ → pp|-ω. It shows that this procedure is valuable but not the dominant, so we should considerate other decay mode, like N* pole.The pp|- interaction is neglected in this paper. Recently some study results have indicated the interaction is significant in some decay channel, so we decide to see the case in this decay channel, sequently.