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Sexaquarks and H dibaryons in the uuddss system: A comparison within a constituent quark model

M. C. Gordillo*

  • *Contact author: cgorbar@upo.es
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Phys. Rev. D 114, 074001 – Published 1 October, 2026

DOI: https://doi.org/10.1103/v5vt-jsfl

Abstract

We study the uuddss multiquark within a constituent quark model framework, solving the corresponding nonrelativistic Schrödinger equation including the AL1 potential by means of a diffusion Monte Carlo (DMC) method. The total wave function is written as the product of a radial component and an exact spin-color-flavor state, restricted to isospin I=0. For this isospin, all allowed flavor wave functions are included. We explore two distinct constructions of the six-quark system. In the first one, corresponding to a sexaquark, all six quarks are treated as indistinguishable and the wave function is fully antisymmetric with respect to the exchange of any two quarks. In the second one, corresponding to the H dibaryon, the system is partitioned into two sets of three quarks, effectively mimicking a baryon-baryonlike configuration including hidden color terms in which antisymmetry is imposed only within each three-quark cluster. Only when the system is forced into a baryon-baryonlike configuration, and for certain values of the spin, color and flavor quantum numbers, do we obtain states with masses close to, but above, the two-baryon threshold. Those states are characterized by two loosely bound three-quark clusters separated from one another by a distance of ∼2.5  fm. The remaining structures are compact objects irrespectively of their internal wave function.

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References (37)

  1. R. L. Jaffe, Perhaps a stable dihyperon, Phys. Rev. Lett. 38, 195 (1977).
  2. H. Takahashi et al., Observation of a HeΛΛ6 double hypernucleus, Phys. Rev. Lett. 87, 212502 (2001).
  3. K. Yamamoto et al., Search for double-Λ hypernuclei and the H-dibaryon via the C12(K−,K+) reaction, Phys. Lett. B 478, 401 (2000).
  4. C. J. Yoon et al. (KEK-PS E522 Collaboration), Search for the H-dibaryon resonance in C12 (K−,K+ΛΛX), Phys. Rev. C 75, 022201 (2007).
  5. B. H. Kim et al. (Belle Collaboration), Search for an H-Dibaryon with a mass near 2mΛ in ϒ(1S) and ϒ(2S) decays, Phys. Rev. Lett. 110, 222002 (2013).
  6. J. Adam (ALICE Collaboration), Search for weakly decaying Λn and ΛΛ exotic bound states in central Pb–Pb collisions at sNN=2.76  TeV, Phys. Lett. B 752, 267 (2016).
  7. S. Acharya et al. (ALICE Collaboration), Study of the Λ−Λ interaction with femtoscopy correlations in pp and p–Pb collisions at the LHC, Phys. Lett. B 797, 134822 (2019).
  8. Y. He, T. R. Saito, H. Ekawa, A. Kasagi, Y. Gao, E. Liu, K. Nakazawa, C. Rappold, M. Taki, Y. K. Tanaka, H. Wang, A. Yanai, J. Yoshida, and H. Zhang, Artificial intelligence pioneers the double-strangeness factory, Nat. Commun. 16, 11084 (2025).
  9. A. Gal, Hypernuclear constraints on the existence and lifetime of a deeply bound H dibaryon, Phys. Lett. B 857, 138973 (2024).
  10. S. R. e. a. Beane, Evidence for a bound H-dibaryon from lattice QCD, Phys. Rev. Lett. 106, 162001 (2011).
  11. T. e. a. Inoue, Bound H-dibaryon in flavor SU(3) limit of lattice QCD, Phys. Rev. Lett. 106, 162002 (2011).
  12. A. Francis, J. R. Green, P. M. Junnarkar, C. Miao, T. D. Rae, and H. Wittig, Lattice QCD study of the h dibaryon using hexaquark and two-baryon interpolators, Phys. Rev. D 99, 074505 (2019).
  13. J. R. e. a. Green, Weakly bound H dibaryon from SU(3)-flavor-symmetric QCD, Phys. Rev. Lett. 127, 242003 (2021).
  14. S. Aoki and T. Doi, Lattice QCD and baryon-baryon interactions: Hal QCD method, Front. Phys. 8, 307 (2020).
  15. K. Sasaki, S. Aoki, T. Doi, S. Gongyo, T. Hatsuda, Y. Ikeda, T. Inoue, T. Iritani, N. Ishii, K. Murano, and T. Miyamoto, λλ and nξ interactions from lattice QCD near the physical point, Nucl. Phys. A998, 121737 (2020).
  16. P. E. Shanahan, A. W. Thomas, and R. D. Young, Mass of the H-dibaryon from lattice QCD, Phys. Rev. Lett. 107, 092004 (2011).
  17. N. Kodama, M. Oka, and T. Hatsuda, H dibaryon in the QCD sum rule, Nucl. Phys. A580, 445 (1994).
  18. J. Haidenbauer and U.-G. Meißner, To bind or not to bind: The H-dibaryon in light of chiral effective field theory, Phys. Lett. B 706, 100 (2011).
  19. T. F. Caramés and A. Valcarce, Examination of the h dibaryon within a chiral constituent quark model, Phys. Rev. C 85, 045202 (2012).
  20. M. Doser, G. R. Farrar, and G. Kornakov, Searching for a dark matter particle with anti-protonic atoms, Eur. Phys. J. C 83, 1149 (2023).
  21. G. R. Farrar and N. Wintergerst, Wave function of the sexaquark or compact h-dibaryon, J. High Energy Phys. 12 (2023) 099.
  22. Z.-L. She, A.-K. Lei, D.-M. Zhou, L. V. Bravina, E. E. Zabrodin, S. Kabana, and V. Bairathi, Coalescence production of sexaquark with three diquarks in high-energy nuclear collisions, Phys. Rev. D 112 (2025).
  23. B. Silvestre-Brac, Spectrum and static properties of heavy baryons, Few Body Syst. 20, 1 (1996).
  24. M. C. Gordillo and J. Segovia, Heavy multiquark systems as clusters of smaller units: A diffusion Monte Carlo calculation, Phys. Rev. D 109, 094032 (2024).
  25. M. C. Gordillo and J. Segovia, Diffusion Monte Carlo calculation of compact Tcs0 and Tcs¯0 tetraquarks, Phys. Lett. B 870, 139927 (2025).
  26. B. Hammond, W. Lester, and P. Reynolds, Monte Carlo Methods in ab Initio Quantum Chemistry (World Scientific, Singapore, 1994).
  27. M. C. Gordillo, F. De Soto, and J. Segovia, Diffusion Monte Carlo calculations of fully-heavy multiquark bound states, Phys. Rev. D 102, 114007 (2020).
  28. J. M. Alcaraz-Pelegrina and M. C. Gordillo, Diffusion Monte Carlo calculations of fully heavy compact hexaquarks, Phys. Rev. D 106, 114028 (2022).
  29. M. C. Gordillo and J. M. Alcaraz-Pelegrina, Asymptotic mass limit of large fully heavy compact multiquarks, Phys. Rev. D 108, 054027 (2023).
  30. M. C. Gordillo, J. Segovia, and J. M. Alcaraz-Pelegrina, Diffusion Monte Carlo calculation of fully heavy pentaquarks, Phys. Rev. D 110, 094024 (2024).
  31. S. Lemaire, J. Labarsouque, and B. Silvestre-Brac, S, P, D, F, G-waves KN phase shifts in a constituent quark model with a spin-orbit interaction, Nucl. Phys. A700, 330 (2002).
  32. S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
  33. D. Tong, Topics in Quantum Mechanics, Lecture Notes, sec. V.4.2, “Generalised Measurements” (University of Cambridge, Cambridge, England, 2017), pp. 176–177.
  34. J.-M. Richard, A. Valcarce, and J. Vijande, Stable heavy pentaquarks in constituent models, Phys. Lett. B 774, 710 (2017).
  35. S. Pepin and F. Stancu, Three-body confinement force in hadron spectroscopy, Phys. Rev. D 65, 054032 (2002).
  36. W. Park, A. Park, and S. H. Lee, Dibaryons in a constituent quark model, Phys. Rev. D 92, 014037 (2015).
  37. A. Park, Hadron interactions using three-quark potential in a constituent quark model, Proc. Sci. QNP2024 (2024) 090.

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Phys. Rev. D 114, 074001– Published 1 October, 2026
  • Received 21 April 2026
  • Accepted 18 September 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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