Search for ${\eta }_c^{{}^{\prime }}$ and $h_c{(}^1{P}_1)$ states in the $e^{+}{e}^{-}$ annihilations

Abstract

Productions and decays of spin-singlet $S,P-$wave charmonium states, ${\eta }_c^{{}^{\prime }}$ and $h_c{(}^1{P}_1)$, in the $e^{+}{e}^{-}$ annihilations are considered in the QCD multipole expansion with neglecting nonlocality in time coming from the color-octet intermediate states. Our approximation is opposite to the Kuang-Yan's model. The results are $B({\psi }^{{}^{\prime }}\to h_c+{\pi }^0)\approx 0.3\%$, $B({\psi }^{{}^{\prime }}\to {\eta }^{{}^{\prime }}+\gamma )\approx 0.34\%$, $\Gamma ({\eta }_c^{{}^{\prime }}\to J/\psi +\gamma )\approx 0.26$ keV and $\Gamma (h_c\to J/\psi +{\pi }^0)\approx 2.5$ keV.

LaTeX file, to appear in Phys. Rev. D