Study Of Doubly Cabibbo-suppressed Decay Process ?_c~+?pk~+?~-

Quantum color dynamics(QCD)is the basic theory for describing strong interaction.Because of the large coupling constants in the low energy region,it can not be solved by perturbation theory.Therefore,some phenomenological models besides lattice theory have been developed.The unitary chiral method(UChPT)has got great success in describing meson-baryon and meson-meson interactions.In 2016,the Belle detector at the KEKB Collider in Japan observed the decay process ?_c~+?pK~+?~-for the first time.It also the first observed with charm baryon double Cabibbo down process by experiment.The theoretical study on this process can be used to establish the baryon-baryon decay model and to study the symmetry breaking of SU(3).At the same time,we study the final state interaction of the decay process,we can find the resonance state,understanding the dynamics of the resonant state provides a theoretical help.In this paper,we analyze the decay process in detail by unitary chiral method.In the theoretical model,we consider the tree level,the final state interaction of ?~-p and the final state interaction of K+?~-.We calculate the decay width of the ?_c~+?pK~+?~-process for the distribution of ?~-P invariant massand K+?~-invariant mass.The invariant mass distribution has a significant peak near 1.5 GeV,corresponds to a co-spin of 1/2,the spin is 1/2,the parity is a negative resonance state.Therefore,invariant mass distribution width measurement experiments on the process of decay,helps to test our theoretical model,as well as to find and study the resonant state.Our work has important scientific significance for the mechanism of the baryon-baryon decay mechanism and the understanding of the non-perturbative nature of QCD.