Study Of The Distribution Amplitude Of The F₀（980） Meson

In this paper,based on the QCD sum rules method,the distribution ampli-tude of scalar meson f₀（980）is studied.By constructing an appropriate two-point correlation function,the sum rules of the moment of f₀（980）meson is derived.We find that the odd-order moment of scalar meson f₀（980）is very large com-pared to the even-order moment,and the characteristics of even-order moments are not very obvious,so only the odd-order moments is considered in the specific numerical result calculation,and then only the Gegenbauer expansion coefficient of odd-numbered are considered.The distribution amplitude changes with the increase of the order of the moment,mainly because the number of peaks is re-lated to the order of the moment,which is determined by the oscillation of the Gegenbauer polynomial.In the correlation function,the expression of the specific flow is given from the specific form of the quark component,that is a simple analysis of the f₀（980）meson decay lane.With the quark hadron duality,the excited and continuous contribution can be expressed as an integral of OPE.Not only the leading term,that is,perturbative term,but also the higher demionsional term are taken into account in OPE for the excited and continuous contribution.Secondly,in the operation of the operator product expansion the approximation condition of x²=0 is not adopted,but x²=x²=x·z is adopted.The recent BESIII experiment measured the form factor of the（D_s⁺→f₀（980）e⁺ν_e,f₀（980）→π⁺π-）process,which in consistent with our results within the error.