Bridging hadronic and vacuum structure by heavy quarkonia
Mar 27, 2024e-Print:
- 2403.18700 [hep-ph]
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Abstract: (arXiv)
We discuss the central and, mostly, spin-dependent potentials in heavy quarkonia , with two goals in mind. The first is phenomenological: using the splitting between the 1S and 2S pairs, as well as the 1P and 2P quartet masses, we obtain very accurate values of all matrix elements of the spin-depepdent potentials. The second is theoretical: using standard wave functions, we compute these matrix elements, from perturbative, nonperturbative and ``string" contributions. The model for nonperturbative effects is a ``dense instanton liquid model", in which the QCD vacuum is made of (strongly color correlated) instanton-antiinstanton pairs or "molecules". We calcuate their effect via standard Wilson lines, with or without extra powers of gauge fields. We find that this model provides a reasonable description of all central, spin-spin and spin-orbit forces at distances , relevant for and quarkonia.- quarkonium: heavy
- spin: dependence
- instanton: liquid
- liquid: model
- effect: nonperturbative
- quantum chromodynamics: vacuum state
- Wilson loop
- color
- splitting
- gauge field theory
References(39)
Figures(16)
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- [22]