Two Photon Decays of Charmonia from Lattice QCD

Abstract

We make the first calculation in lattice QCD of two-photon decays of mesons. Working in the charmonium sector, using the LSZ reduction to relate a photon to a sum of hadronic vector eigenstates, we compute form-factors in both the space-like and time-like domains for the transitions ${\eta }_c\to {\gamma }^{\ast }{\gamma }^{\ast }$ and ${\chi }_{c0}\to {\gamma }^{\ast }{\gamma }^{\ast }$. At the on-shell point we find approximate agreement with experimental world-average values.

arXiv commentReplaced with version to be published in PRL. Expanded discussion of possible systematic errors

References in corpus (9)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Higher Charmonia
• Non-perturbative O(a) improvement of lattice QCD
• Radiative Transitions in Charmonium from Lattice QCD
• Accurate Scale Determinations for the Wilson Gauge Action
• Dynamic Properties of Charmonium
• Studying Hadronic Structure of the Photon in Lattice QCD
• Formation of the ${\eta }_c$ in Two-Photon Collisions at LEP
• Photon Structure Functions from Quenched Lattice QCD

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• Two-Photon Widths of the chi_cJ States of Charmonium
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• Two Photon Decays of ${\eta }_c$ from Lattice QCD
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• The suggested presence of the tetrahedral-symmetry in the ground-state configuration of the ${}^{96}$Zr nucleus
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• Euclidean correlators at imaginary spatial momentum and their relation to the thermal photon emission rate
• Radiative and leptonic decays of the pseudoscalar charmonium state ${\eta }_c$
• Lattice QCD and the two-photon decay of the neutral pion
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