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A study of relativistic corrections to $ J/\psi\rightarrow p\bar{p}$ decay

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arxiv 2211.13603 v1 pith:WKXWZJ3C submitted 2022-11-24 hep-ph

classification hep-ph
keywords correctionsrelativisticdecaynumericalamplitudeamplitudesapproximationbeyond
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abstract

We study relativistic corrections in exclusive $S$-wave charmonium decays into proton-antiproton final state. We calculate the NRQCD corrections to the dominant decay amplitude, which depend on the nucleon twist-3 light-cone distribution amplitudes only. It is shown that in this case the collinear factorisation is also valid beyond the leading-order approximation. Our numerical estimates show that relativistic correction of relative order $v^2$ provides large numerical impact.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Radiative decays $J/\psi,\,\psi(2S)\rightarrow\gamma\eta^{(\prime)}$ in perturbative QCD with relativistic corrections

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Order-q² relativistic corrections in pQCD roughly double J/ψ→γη(') rates and favor a smaller mixing angle, while ψ(2S) rates overshoot data and may require coherent ηc mixing.

  2. Three-gluon decays of radially excited quarkonia $\psi(2S)$ and $\Upsilon(2S)$ with both relativistic and QCD radiative corrections

    hep-ph 2026-03 conditional novelty 5.0 of 10

    Phenomenologically improved Bethe-Salpeter calculations of ψ(2S)/Υ(2S) → ggg, including relativistic and QCD corrections, match experiment and extract lower β_V values reflecting nodal sensitivity.

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