Born-Oppenheimer Potentials for $SU(3)$ Gauge Theory
Autor: | Alasiri, Fareed, Braaten, Eric, Mohapatra, Abhishek |
---|---|
Rok vydání: | 2024 |
Předmět: | |
Zdroj: | Phys. Rev. D 110, 054029 (2024) |
Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevD.110.054029 |
Popis: | 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. Comment: 37 pages, 10 figures, 4 tables: v2: introduced additional references, modified figures; Journal version |
Databáze: | arXiv |
Externí odkaz: |