Study On Possible Molecular States Composed Of ?_C(?)(?_bB) And ?_c(?)(?_bB) Within The Bethe-Salpeter Framework

Exploring the internal structure of hadrons is an important research direction of particle physics.In the traditional quark model,hadrons are divided into baryons(qqq)and mesons(q(?)).Since the discovery of X(3872)in the Belle group in 2003,many new hadron states have been discovered,called X,Y,and Z particles.The final state of these new hadronic decays contains positive and negative charm quarks,and the mass is mostly located near the threshold of the two charm hadrons.However,the decays'behavior is difficult to be explained by the structure of c(?),which means that the internal structure of many new hadronic states cannot be explained by the traditional quark model.The prevailing view is that they may be Multi-quark state,and they are also known as Strange hadronic states.In recent years,the study of the properties of X,Y and Z particles is one of the hot topics in particle physics,which stimulates the interest of theorists.This research can deepen our understanding of the non-perturbed QCD behavior in the low energy region of hadrons and enrich our knowledge of quark model.LHCb experimental observed pentaquark is Pc(4312),its quality is close to ?_c and D quality,we assume it is made of ?_c and D molecular state,using single boson exchange model and chirality vector drawing we got ?_c and D interactions,and establish corresponding Bethe-Salpeter(B-S)equation.Through numerical B-S equation,obtained the ?_c(?) system of binding energy and wave function.Through calculation,we found that in the range of the parameters are reasonable?_c(?) can form isospin I=1/2 bound state,and cannot form I=3/2 bound state,we think it can be found by the experiment on the Pc(4312).Using the obtained B-S wave function,we calculate the probability of Pc(4312)decayed into a proton and a vector particle,which can be compared with the data in the future to determine whether the molecular structure of Pc(4312)is correct.In addition,we analyzed the ?cD,?bB and ?bB possible bound state.We hope that these predicted hadronic states will be observed experimentally in the future,which is also a test of the structure of Pc(4312)and our method.