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arXiv · 1506.09213

Strong three-meson couplings of $J/ψ$ and $η_c$

Wolfgang Lucha·Dmitri Melikhov·Hagop Sazdjian·Silvano Simula
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Abstract

We discuss the strong couplings $g_{PPV}$ and $g_{VVP}$ for vector ($V$) and pseudoscalar ($P$) mesons, at least one of which is a charmonium state $J/ψ$ or $η_c$. The strong couplings are obtained as residues at the poles of suitable form factors, calculated in a broad range of momentum transfers using a dispersion formulation of the relativistic constituent quark model. The form factors obtained in this approach satisfy all constraints known for these quantities in the heavy-quark limit. Our results suggest sizably higher values for the strong meson couplings than those reported in the literature from QCD sum rules.

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Wolfgang Lucha, Dmitri Melikhov, Hagop Sazdjian, Silvano Simula. 2015-12-14. Strong three-meson couplings of $J/ψ$ and $η_c$. https://doi.org/10.1103/physrevd.93.016004

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