The Production Of An Excited State Charmonium

The perturbative QCD has been successfully applied to the exclusive and inclusive processes under large momentum transfer conditions.However,under the non-Abelian gauge theory,the perturbative vacuum and the small-distance interaction are not affected by the large distance,so the perturbative QCD and the perturbative vacuum ignore the confinement and the non-perturbative effect of the hadronic state at large distances.The research on the correlated processes of charmonium production can help us better understand the non-perturbative effect of strong QCD interaction.The main contents of this paper are as follows:In the first chapter,the discovery and experimental observation of the char-monium particles,including J/?,?(2S),?_c,?_c(2S)are introduced,after which the non-perturbative research methods of quantum chromodynamics for the charmo-nium production and decay process,such as color-singlet model,NRQCD factor-ization method and QCD sum rules,were presented.The second chapter focuses on the QCD sum rules and the light-cone sum rules.Starting from the two processing methods of the correlation function,and taking?meson and?meson as examples,this chapter briefly introduced several key steps,including current selection,dispersion relation,operator product ex-pansion(OPE),and Borel transformation.At the end of this chapter,the author introduced the light-cone sum rules for the?~*???~0process.In the third chapter,We calculate the form factor and cross section of the excited charmonium production processe~++e~-??(2S)+?_cby light-cone sum rules.Since,the energy scale of e~++e~-??(2S)+?_cprocess is much larger than the initial energy scale of?_cmeson in BHL model,we further consider the evolution of the distribution amplitude with the energy scale,which means that we have chosen the relativistic distribution amplitude.The results show that the relativistic effect contributes greatly to the form factor and cross section.Our results are consistent with Belle experimental data.In the fourth chapter,we summarize the work we have done and at the same time we give a prospect of our future work.