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arXiv · 2006.02830

Relativistic corrections to the vector meson light front wave function

Tuomas Lappi·Heikki Mäntysaari·Jani Penttala
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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.

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Tuomas Lappi, Heikki Mäntysaari, Jani Penttala. 2020-06-04. Relativistic corrections to the vector meson light front wave function. https://doi.org/10.1103/physrevd.102.054020

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