Exclusive C=+ charmonium production in $e^{+}{e}^{-}\to H+\gamma$ at B-factories within light cone formalism

Abstract

In this paper the cross sections of the processes $e^{+}{e}^{-}\to H+\gamma ,H={\eta }_c,{\eta }_c^{\prime },{\chi }_{c0},{\chi }_{c1},{\chi }_{c2}$ are calculated. The calculation is carried out at the leading twist approximation of light cone formalism. Within this approach the leading logarithmic radiative and relativistic corrections to the amplitudes are resumed. For the processes $e^{+}{e}^{-}\to {\eta }_c,{\eta }_c^{\prime }+\gamma$ one loop radiative corrections are taken into account. It is also shown that one loop leading logarithmic radiative corrections calculated within light cone formalism for the processes under study coincide with that obtained by direct calculations of one loop diagrams within nonrelativistic QCD.

Comments: 6 pages, 1 figure