Researches Of The Decay Properties Of Charmonium-like States

The quark model has achieved great success in describing Hadron spectroscopy.But in recent years,since charmonium-like state X(3872)is observed by the invariant mass spectrum of KJ/Ψ π+π-in B channel by the Belle Collaboration,more and more new highly excited hadrons have deviated greatly from the predictions of quark potential model.Some decay properties of these new hadronic states are difficult to explain by the qq state which composed of constituent quark under the existing potential model.How to study these new states are an important subject in particle physics.It is important to study the strong decay of the corresponding particles for determining their properties and classifying them.In this paper,we attempt to use the Constituent Quark Model to study the composition and decay properties of these new hadronic statesFirstly,we repeat the work of Godfrey-Isgur model,through which we can calculate the mass of the charmed mesons and charmonium states with JPC=0++,and calculate the wave function and the state’s rms radius.Then,the decay widths of X(3915)and X(4500)can be calculated by the 3P0 model,and the decay width and main decay channels of the χc0(3P)state can be predicted.Assuming that X(3915)is the first radial excitation of charmomium state with JPC=0++,the calculated width is consistent with the experimental results.Although the χc0(3P)was not found in the experiment,we can estimate the decay width of this state according to the Godfrey-Isgur model which predict its mass,and also determine the main decay channels of this state are D D and DSDS.The decay width calculation also suggests that X(4500)is the third radial excitation of charmomium state with JPC=0++.For X(4350),we use the result predicted by Godfrey-Isgur model to draw the decay width curve with parameter R.It is suggest that X(4350)is the second radial excitation of charmomium state with JPC=2++.