Three-photon and three-gluon annihilation decays of vector Quarkonia in a unified instantaneous Bethe–Salpeter framework

Q: What does this research mean for the field?

The instantaneous Bethe-Salpeter framework, using a unified parameter set for charmonium and bottomonium, accurately predicts their three-photon and three-gluon annihilation decay widths in agreement with experimental measurements. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.SUPPORTS_CONSENSUS.

Hluf Negash; Gebretsadik Seyoum; Goitom Tekle; Mekonnen Gebremikael

doi:10.1140/epjc/s10052-026-16011-5

July 1, 2026The European Physical Journal COpen Access

Three-photon and three-gluon annihilation decays of vector Quarkonia in a unified instantaneous Bethe–Salpeter framework

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Key Points

This research aims to compute the decay widths of S-wave vector quarkonia using a unified framework.
Utilized the instantaneous Bethe-Salpeter equation with a combined harmonic confinement potential and one-gluon exchange.
Calculated decay widths for charmonium and bottomonium across different radial excitations (n=1–4).
Obtained relativistic wave functions for analyzing the processes involving three-photon and three-gluon annihilation.
Decay width for J/ψ(1S) to 3γ found to be 1.004×10^(-3) keV, consistent with experimental data.
Decay width for J/ψ(1S) to 3g calculated as 59.28 keV, revealing substantial interaction dynamics.
Results for other radial states are determined but not numerically specified.

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Investigates decay widths of quarkonia, indicating new insights into particle interactions.

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Negash et al. (2026) studied this question.

synapsesocial.com/papers/6a47518c5c29257aa2578b6a https://doi.org/10.1140/epjc/s10052-026-16011-5

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Three-photon and three-gluon annihilation decays of vector Quarkonia in a unified instantaneous Bethe–Salpeter framework

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Three-photon and three-gluon annihilation decays of vector Quarkonia in a unified instantaneous Bethe–Salpeter framework

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