Born-Oppenheimer potentials for S U ( 3 ) gauge theory

Alasiri, Fareed; Braaten, Eric; Mohapatra, Abhishek

doi:10.1103/PhysRevD.110.054029

Title: Born-Oppenheimer potentials for $S U (3)$ gauge theory

Journal Article · 20 September 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.054029 · OSTI ID:2447497

; Braaten, Eric;

We develop parametrizations of eight 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 $S U (3)$ lattice gauge theory. The parametrizations 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. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-05ER15715; SC0023598

OSTI ID:: 2447497

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 5 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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