Measurement Of The Cross Section For E~+e~-??? Production With Data Between 3.686 And 4.700 GeV At BES?

A series of charmoniumlike states have been observed in the heavy quarkonium sector at e~+e~-colliders due to the discovery of the J/(?).Charmonium physic gained renewed strong interest from both theory and experiment,due to the observation of X(3872),Y(4260),Y(4360),Zc(3900),Zc(4020),and so on,these charmoniumlike states do not fit in the conventional charmonium spectroscopy and could be the exotic states of(XYZ particle)predicted by the quark model.As the first Y state,the Y(4260)was observed by the Ba Bar Collaboration in the initial state radiation(ISR)process e~+e~-?(?ISR)J/(?)?~+?~-.After that,a series of Y states were observed,such as Y(4230),Y(4360),Y(4660).In experiment,we only observe Y states decay into open charm states or hidden charm states,we do not observe that these Y states decay into light hadron final states,searching for Y decay into light hadron final states may help us understand these Y states better.BES? has accumulated large data samples at XYZ energy range providing an opportunity to search for the charmonium-like states and to study their properties.In this paper,all data samples of the centroid energy (?) form 3.686 to 4.700 GeV range collected by BES? detector are used.The Born cross section of e~+e~-??? decay process was measured by reconstruction of ?,?.From the cross section distribution of energy dependence,A PDF of the fitting the cross section distribution was constructed by using the parameterized Breit-Winger function to describe the resonance states,According to our work,there are no significant evidences for the decays of Y(4360)into ??,with a statistical significance of1.5?.