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arXiv · 2406.05123

Born-Oppenheimer Potentials for $SU(3)$ Gauge Theory

Fareed Alasiri·Eric Braaten·Abhishek Mohapatra
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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.

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Fareed Alasiri, Eric Braaten, Abhishek Mohapatra. 2024-06-07. Born-Oppenheimer Potentials for $SU(3)$ Gauge Theory. https://doi.org/10.1103/physrevd.110.054029

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