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Relativistic corrections to the vector meson light front wave function
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abstract
We compute a light front wave function for heavy vector mesons based on long distance matrix elements constrained by decay width analyses in the Non Relativistic QCD framework. Our approach provides a systematic expansion of the wave function in quark velocity. The first relativistic correction included in our calculation is found to be significant, and crucial for a good description of the HERA exclusive $\mathrm{J}/\psi$ production data. When looking at cross section ratios between nuclear and proton targets, the wave function dependence does not cancel out exactly. In particular the fully non-relativistic limit is found not to be a reliable approximation even in this ratio. The important role of the Melosh rotation to express the rest frame wave function on the light front is illustrated.
Forward citations
Cited by 5 Pith papers
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Saturation effects in exclusive vector meson production in DIS
A dense-limit CGC hotspot calculation shows saturation mildly suppresses exclusive vector meson cross sections in ep, with suppression growing at higher color-charge density.
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A hot-spot model with saturation-scale and hotspot-number fluctuations plus a relativistic wave-function correction reproduces HERA exclusive J/psi data, with saturation-scale fluctuations dominating.
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Gluon Saturation Effects in Exclusive Heavy Vector Meson Photoproduction
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Bayesian Inferring Nucleon's Gravitation Form Factors via Near-threshold $J/\psi$ Photoproduction
A Bayesian NLO analysis of near-threshold J/psi photoproduction data, combined with lattice QCD, finds compatible proton gravitational form factors and prefers negative C_q and C_g.
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