Born-Oppenheimer Potentials for $SU(3)$ Gauge Theory
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929570921316352 |
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| author | Alasiri, Fareed Braaten, Eric Mohapatra, Abhishek |
| author_facet | Alasiri, Fareed Braaten, Eric Mohapatra, Abhishek |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_05123 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Born-Oppenheimer Potentials for $SU(3)$ Gauge Theory Alasiri, Fareed Braaten, Eric Mohapatra, Abhishek High Energy Physics - Phenomenology High Energy Physics - Lattice 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. |
| title | Born-Oppenheimer Potentials for $SU(3)$ Gauge Theory |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2406.05123 |