Study On Distribution Amplitudes Of Light Scalar Mesons A₀(980) And A₀(1450)

Based on the QCD sum rule,we study the light cone distribution amplitudes of scalar mesons a0(980)and a0(1450).We derive the first two non-zero moments of scalar mesons a0(980)and a0(1450),consisting of two valence quarks,by selecting appropriate correlation functions.Then the first two non-zero Gegenbauer coefficients of the distribution amplitude are calculated by using these moments,and the distribution amplitude is constructed by using these coefficients,and the form factor is calculated.The distribution amplitudes we compute is in the form of double peak,while Ref[1]is single peak.This difference is caused by the threshold,and Borel parameter.But this difference is superficial because the distribution amplitude is not experimentally measurable,it is an intermediate parameter which we must relate to the form factor or the decay width in order to verify its validity.Therefore,our results for the process decaying to a0(980)are relatively reliable,and the results are not much different from those of others.It is proved that our distribution amplitude is reliable.However,for the process decaying to a0(1450),the results is different greatly.However,because the theoretical and experimental results of this process are too few,we cannot give a clear decision.We hope our results to be tested by the improvement of experimental accuracy in the future.