Born-Oppenheimer Potentials for SU(3) Gauge Theory

ORAL

Abstract

We develop parameterizations of 8 of the lowest Born-Oppenheimer potentials for quarkonium hybrid mesons as functions of the separation r of the static quark and antiquark sources. The parameters are determined by fitting results calculated using pure SU(3) lattice gauge theory. The parameterizations have the correct limiting behavior at small r, where the potentials form multiplets associated with gluelumps. They have the correct limiting behavior at large r, where the potentials form multiplets associated with excitations of a relativistic string. There is a narrow avoided crossing in the small-r region between two potentials with the same Born-Oppenheimer quantum numbers.

*This research was supported in part by the Department of Energy under grant DE- FG02-05ER15715, by the DFG Project-ID 196253076 TRR 110, and by the NSFC through funds provided to the Sino-German CRC 110 "Symmetries and the Emergence of Struc- ture in QCD". AM and EB acknowledge the DFG cluster of excellence ORIGINS funded by the Deutsche Forschungsgemeinschaft under Germany's Excellence Strategy EXC-2094-390783311. AM also acknowledges the "Strong Interaction at the Frontier of Knowledge: Fundamental Research and Applications" project funded by the European Union's Hori- zon 2020 program under grant 824093. We thank M. Wagner for valuable insights into the fitting of B-O potentials. We thank N. Brambilla and A. Vairo for useful discussions. This work contributes to the goals of the US DOE ExoHad Topical Collaboration, Contract DE-SC0023598.

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Publication: arXiv:2409.08002v1, arXiv:2408.04719v1, arXiv:2407.18298v1.

Presenters

  • Fareed Alasiri

    • Ohio State University

Authors

  • Fareed Alasiri

    • Ohio State University

  • Eric Braaten

    • Ohio State University

  • Abhishek Mohapatra

    • Technical University of Munich