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Bridging Hadronic and Vacuum Structure by Heavy Quarkonia by Miesch, Nicholas; Shuryak, Edward; Zahed, Ismail is a scholarly article available to read on EtoBox.
What is Bridging Hadronic and Vacuum Structure by Heavy Quarkonia about?
We discuss the central and, mostly, spin-dependent potentials in heavy quarkonia $\bar b b, \bar c c$, 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 $r= 0-0.7 \, fm $, relevant for $\bar b b $ and $\bar c c$ quarkonia.
- Author
- Miesch, Nicholas; Shuryak, Edward; Zahed, Ismail
- Published
- 2024
- Language
- EN
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