Search for $C=+$ charmonium and bottomonium states in $e^{+}{e}^{-}\to \gamma +X$ at B factories

Abstract

We study the production of $C=+$ charmonium states $X$ in $e^{+}{e}^{-}\to \gamma +X$ at B factories with $X={\eta }_c(nS)$ (n=1,2,3), ${\chi }_{cJ}(mP)$ (m=1,2), and ${}^1{D}_2(1D)$. In the S and P wave case, contributions of tree-QED with one-loop QCD corrections are calculated within the framework of nonrelativistic QCD(NRQCD) and in the D-wave case only the tree-QED contribution are considered. We find that in most cases the QCD corrections are negative and moderate, in contrast to the case of double charmonium production $e^{+}{e}^{-}\to J/\psi +X$, where QCD corrections are positive and large in most cases. We also find that the production cross sections of some of these states in $e^{+}{e}^{-}\to \gamma +X$ are larger than that in $e^{+}{e}^{-}\to J/\psi +X$ by an order of magnitude even after the negative QCD corrections are included. So we argue that search for the X(3872), X(3940), Y(3940), and X(4160) in $e^{+}{e}^{-}\to \gamma +X$ at B factories may be helpful to clarify the nature of these states. For completeness, the production of bottomonium states in $e^{+}{e}^{-}$ annihilation is also discussed.

13pages, 4 figures

References in corpus (13)

• Higher Charmonia and X,Y,Z states with Screened Potential
• The Exotic XYZ Charmonium-like Mesons
• Possible Signals of Wino LSP at the Large Hadron Collider
• Search for new charmonium states in the processes e+ e- --> J/psi D(*) D(*) at sqrt{s} ~ 10.6 GeV
• Relativistic corrections to $J/\psi$ exclusive and inclusive double charm production at B factories
• QCD corrections to J/psi plus eta_c production in e+e- annihilation at sqrt{s}=10.6 GeV
• Resummation of Relativistic Corrections to e+ e- -> J/psi+eta_c
• Decays of the X(3872) and ${\chi }_{c1}(2P)$ charmonium
• Potential-model calculation of an order-v^2 NRQCD matrix element
• Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+ e- -> J/psi + eta_c
• Interpretations for the X(4160) observed in the double charm production at B factories
• Refactorizing NRQCD short-distance coefficients in exclusive quarkonium production
• Exclusive heavy quarkonium + gamma production from e+ e- annihilation into a virtual photon

Cited by in corpus (18)

• QCD corrections to Upsilon production via color-octet states at the Tevatron and LHC
• The leading twist light-cone distribution amplitudes for the S-wave and P-wave quarkonia and their applications in single quarkonium exclusive productions
• Higher Order Corrections to the Cross Section of e+e- to Quarkonium plus gamma
• Decay and electromagnetic production of strongly coupled quarkonia in pNRQCD
• QCD corrections to $J/\psi$ plus $Z^0$-boson production at the LHC
• ${\chi }_{cJ}$ production associated with a $c\bar{c}$ pair at hadron colliders
• The next-to-leading-order QCD correction to inclusive J/ψ(Υ) production in Z^0 decay
• ${\alpha }_s{v}^2$ corrections to ${\eta }_c$ and ${\chi }_{cJ}$ production recoiled with a photon at $e^{+}{e}^{-}$ colliders
• Relativistic corrections to exclusive ${\chi }_{cJ}+\gamma$ production from $e^{+}{e}^{-}$ annihilation
• Exclusive charmonium production from $e^{+}{e}^{-}$ annihilation round the $Z^0$ peak
• Next-to-leading order QCD corrections for the charmonium production via the channel $e^{+}{e}^{-}\to H(|c\bar{c}⟩)+\gamma$ round the $Z^0$ peak
• Observation of $e^{+}{e}^{-}\to \gamma {\chi }_{c1}$ and search for $e^{+}{e}^{-}\to \gamma {\chi }_{c0},\gamma {\chi }_{c2},$ and $\gamma {\eta }_c$ at $\sqrt{s}$ near 10.6 GeV at Belle
• Resummation of relativistic corrections to exclusive productions of charmonia in e+ e- collisions
• Scale-Fixed Predictions for $\gamma +{\eta }_c$ production in electron-positron collisions at NNLO in perturbative QCD
• Study on ${\eta }_{c2}({\eta }_{b2})$ electromagnetic decay into double photons
• Search for $C=+$ charmonium and XYZ states in $e^{+}{e}^{-}\to \gamma +H$ at BESIII
• Exclusive C=+ charmonium production in $e^{+}{e}^{-}\to H+\gamma$ at B-factories within light cone formalism
• Bottomonium production associated with a photon at a high luminosity $e^{+}{e}^{-}$ collider with next-to-leading order QCD corrections