# SU(3) hybrid static potentials at small quark-antiquark separations from fine lattices

### Submission summary

 As Contributors: Marc Wagner Arxiv Link: https://arxiv.org/abs/2112.01911v1 (pdf) Date accepted: 2022-05-06 Date submitted: 2022-02-03 14:26 Submitted by: Wagner, Marc Submitted to: SciPost Physics Proceedings Proceedings issue: XXXIII International Workshop on High Energy Physics (Hard Problems of Hadron Physics: Non-Perturbative QCD & Related Quests) Academic field: Physics Specialties: High-Energy Physics - Theory Approaches: Theoretical, Computational, Phenomenological

### Abstract

We summarize our recent lattice gauge theory computation of the $\Pi_u$ and $\Sigma_u^-$ hybrid static potentials at small quark-antiquark separations. We provide parameterizations of the resulting lattice data points, which can be used for investigating masses and properties of heavy hybrid mesons in the Born-Oppenheimer approximation.

Published as SciPost Phys. Proc. 6, 009 (2022)

### Submission & Refereeing History

#### Published as SciPost Phys. Proc. 6, 009 (2022)

Submission 2112.01911v1 on 3 February 2022

## Reports on this Submission

### Anonymous Report 1 on 2022-3-29 (Invited Report)

• Cite as: Anonymous, Report on arXiv:2112.01911v1, delivered 2022-03-29, doi: 10.21468/SciPost.Report.4796

### Strengths

Systematic and important calculations in lattice phenomenology are performed, clear presentation

### Weaknesses

No comments are made concerning the scope of validity of the static-potential approach to the description of hybrid quarkonia so it is not clear whether the corrections due to lattice artifacts are smaller or greater than those caused by deviations from Born-Oppenheimer approximation, relativistic effects etc.

### Report

Currently theoretical studies of exotic mesons represent a very hot topic. The authors consider a particularly interesting sort of exotica - heavy hybrid mesons. They calculate hybrid static potentials with several quantum numbers (associated with the energy of excited gluon fields) using the ordinary static potential as a reference. Due regard for the lattice artifacts is provided. Sufficiently fine lattices are used making it possible to evaluate the hybrid potential down to 0.08 fm, which can be used as input for the phenomenological predictions for heavy hybrid quarkonia in the Born--Oppenheimer approximation.

• validity: top
• significance: high
• originality: top
• clarity: high
• formatting: perfect
• grammar: excellent

### Author:  Marc Wagner  on 2022-03-29  [id 2337]

(in reply to Report 1 on 2022-03-29)
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