Baryon-baryon, meson-meson, and meson-baryon interactions in nonrelativistic QCD
Journal Article
·
· Physical Review. D. (Online)
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Univ. of Cincinnati, OH (United States)
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Van der Waals potentials describing interactions between color-singlet mesons and/or baryons vanish at leading order in potential nonrelativistic quantum chromodynamics (pNRQCD). This result and constraints from Gauss’s law are used to prove that weakly coupled pNRQCD van der Waals potentials in generic non-Abelian gauge theories with only heavy quarks are too weak to form bound states whose color state is a product of color singlets. Quantum Monte Carlo calculations of four, five, and six quarks with equal masses provide numerical evidence that exotic color configurations are higher energy than products of color-singlet hadrons, suggesting that equal-mass fully heavy tetraquark, pentaquark, and hexaquark bound states do not exist at next-to-leading order in pNRQCD and at all orders in QCD-like theories in which all quark masses are asymptotically large. Mechanisms for generating hadron-hadron bound states are identified, which necessarily involve large quark-mass hierarchies, relativistic effects arising from the presence of sufficiently light quarks, or nonperturbative effects outside the scope of weakly coupled pNRQCD.
- Research Organization:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Univ. of Cincinnati, OH (United States)
- Sponsoring Organization:
- National Science Foundation (NSF); Simons Foundation; USDOE Office of Science (SC), High Energy Physics (HEP)
- Grant/Contract Number:
- 89243024CSC000002; SC0011784
- OSTI ID:
- 3012934
- Report Number(s):
- FERMILAB-PUB--25-0423-T; oai:inspirehep.net:2960487; arXiv:2508.10090
- Journal Information:
- Physical Review. D. (Online), Journal Name: Physical Review. D. (Online) Journal Issue: 1 Vol. 113; ISSN 2470-0029
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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