Bridging hadronic and vacuum structure by heavy quarkonia
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929292109152256 |
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| author | Miesch, Nicholas Shuryak, Edward Zahed, Ismail |
| author_facet | Miesch, Nicholas Shuryak, Edward Zahed, Ismail |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18700 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bridging hadronic and vacuum structure by heavy quarkonia Miesch, Nicholas Shuryak, Edward Zahed, Ismail High Energy Physics - Phenomenology 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. |
| title | Bridging hadronic and vacuum structure by heavy quarkonia |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2403.18700 |