Relativistic Corrections To The Process E~+e~-→h_c+c(?)

Within the nonrelativistic quantum chromodynamics（NRQCD）factorization framework,this paper calculates the relativistic corrections of the processe e⁺e^-→h_c+c（?）.First,we repeat the leading-order calculation of this process,and the results obtained are consistent with the existing results.And we predict the size of the scattering cross section under different energy regions.After calculation,it is found that the leading-order scattering cross section is small in the STCF energy region.However,at B factories energy the scattering cross section is the largest,which means that the production rate of h_cunder the energy zone is the largest,and it is most conducive to the detection of h_cunder this energy zone.Then we calculated the leading-order relativity correction,the result shows relativistic correction can improve the results of the leading-order scattering cross section.The relativistic correction under the STCF energy region will increase the leading-order cross section results by 20%-30%,and the correction under the B factory energy zone will increase by 3%-7%.And the scattering cross section and relativistic correction of this process are more sensitive to the change of the charm quark mass.According to the calculation results,we can see that the color-singlet channel is dominant in this process,on the contrary,the contribution of the color-octet state is very small,which is contrary to the result of the processe e⁺e^-→h_c+X_LH.