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