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

by Carolin Schlosser, Marc Wagner

This Submission thread is now published as SciPost Phys. Proc. 6, 009 (2022)

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)


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)
Category:
remark
answer to question

We thank the referee for his/her positive report.

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.

This is certainly a very interesting question. We address the question briefly in section 5:

"The resulting parameterizations (5) and (9) differ from those obtained in our earlier work [4], where only one ensemble with rather coarse lattice spacing was available. A simple single channel Born-Oppenheimer prediction of heavy hybrid meson masses led to discrepancies between 10MeV and 45MeV (see Ref. [36]). Thus, it is expected that the high quality lattice data discussed in this work or, equivalently, the resulting parameterizations (5) and (9) will lead to a significant gain in precision, when used in recently developed more sophisticated Born-Oppenheimer approaches, which include coupled channels and heavy spin corrections [2,3,5,6]."

At the moment this is all we know and can say. We are, however, in the process of computing heavy spin corrections and implementing an up-to-date Born-Oppenheimer approach. Once we have results available, we plan to discuss the raised question in more detail in a future publication.

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