- Open Access
Statistical repulsion on hyperons in two-color dense QCD
Phys. Rev. D 113, 054030 – Published 23 March, 2026
DOI: https://doi.org/10.1103/frr3-pg48
Abstract
We investigate the onset of hyperons in baryonic (diquark) matter in two-color QCD () by introducing heavy quark doublets that emulate strange quarks. An even number of flavors is chosen to construct a theory amenable to sign-problem-free lattice Monte Carlo simulations. To explore matter containing both light and heavy quarks, we construct a model in which quarks interact with light-light, light-heavy (hyperonic), and heavy-heavy diquarks via Yukawa couplings. As the quark chemical potential increases, the light diquarks condense first and form baryonic matter, and this onset density can be understood in hadronic terms. In contrast, the onset density of hyperons is substantially higher than that estimated from the hadronic sector of the model. This shift reflects an effective repulsion among baryons induced by the preoccupied light quarks. The Pauli blocking of light quarks suppresses the attractive diquark correlations responsible, in vacuum, for making hyperons lighter than the sum of the constituent light and heavy quark masses. Implications for three-color QCD are also briefly discussed.
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References (92)
- A. Akmal, V. R. Pandharipande, and D. G. Ravenhall, The equation of state of nucleon matter and neutron star structure, Phys. Rev. C 58, 1804 (1998).
- H. Togashi, K. Nakazato, Y. Takehara, S. Yamamuro, H. Suzuki, and M. Takano, Nuclear equation of state for core-collapse supernova simulations with realistic nuclear forces, Nucl. Phys. A961, 78 (2017).
- C. Drischler, W. Haxton, K. McElvain, E. Mereghetti, A. Nicholson, P. Vranas, and A. Walker-Loud, Towards grounding nuclear physics in QCD, Prog. Part. Nucl. Phys. 121, 103888 (2021).
- I. Tews, J. Carlson, S. Gandolfi, and S. Reddy, Constraining the speed of sound inside neutron stars with chiral effective field theory interactions and observations, Astrophys. J. 860, 149 (2018).
- C. Drischler, S. Han, and S. Reddy, Large and massive neutron stars: Implications for the sound speed within QCD of dense matter, Phys. Rev. C 105, 035808 (2022).
- L. Brandes and W. Weise, Constraints on phase transitions in neutron star matter, Symmetry 16, 111 (2024).
- K. Masuda, T. Hatsuda, and T. Takatsuka, Hadron-quark crossover and massive hybrid stars with strangeness, Astrophys. J. 764, 12 (2013).
- K. Masuda, T. Hatsuda, and T. Takatsuka, Hadron–quark crossover and massive hybrid stars, Prog. Theor. Exp. Phys. 2013, 073D01 (2013).
- T. Kojo, P. D. Powell, Y. Song, and G. Baym, Phenomenological QCD equation of state for massive neutron stars, Phys. Rev. D 91, 045003 (2015).
- G. Baym, T. Hatsuda, T. Kojo, P. D. Powell, Y. Song, and T. Takatsuka, From hadrons to quarks in neutron stars: A review, Rep. Prog. Phys. 81, 056902 (2018).
- Y.-L. Ma and M. Rho, Towards the hadron–quark continuity via a topology change in compact stars, Prog. Part. Nucl. Phys. 113, 103791 (2020).
- M. Marczenko, L. McLerran, K. Redlich, and C. Sasaki, Reaching percolation and conformal limits in neutron stars, Phys. Rev. C 107, 025802 (2023).
- D. Lonardoni, A. Lovato, S. Gandolfi, and F. Pederiva, Hyperon puzzle: Hints from quantum Monte Carlo calculations, Phys. Rev. Lett. 114, 092301 (2015).
- J.-T. Ye, R. Wang, S.-P. Wang, and L.-W. Chen, High-density symmetry energy: A key to the solution of the hyperon puzzle, Astrophys. J. 985, 238 (2025).
- L. Ang, Is there a, “hyperon puzzle” problem in neutron star study?, Nucl. Phys. Rev. 41, 834 (2024).
- L. Tolos and L. Fabbietti, Strangeness in nuclei and neutron stars, Prog. Part. Nucl. Phys. 112, 103770 (2020).
- L. Tolos, M. Centelles, and A. Ramos, Equation of state for nucleonic and hyperonic neutron stars with mass and radius constraints, Astrophys. J. 834, 3 (2017).
- D. Chatterjee and I. Vidaña, Do hyperons exist in the interior of neutron stars?, Eur. Phys. J. A 52, 29 (2016).
- H. Togashi, E. Hiyama, Y. Yamamoto, and M. Takano, Equation of state for neutron stars with hyperons by the variational method, Phys. Rev. C 93, 035808 (2016).
- T. Miyatsu, M.-K. Cheoun, and K. Saito, Equation of state for neutron stars with hyperons and quarks in the relativistic Hartree–Fock approximation, Astrophys. J. 813, 135 (2015).
- X. Sun, Z. Miao, B. Sun, and A. Li, Astrophysical implications on hyperon couplings and hyperon star properties with relativistic equations of states, Astrophys. J. 942, 55 (2023).
- T.-T. Sun, S.-S. Zhang, Q.-L. Zhang, and C.-J. Xia, Strangeness and resonance in compact stars with relativistic-mean-field models, Phys. Rev. D 99, 023004 (2019).
- P. Demorest, T. Pennucci, S. Ransom, M. Roberts, and J. Hessels, Shapiro delay measurement of A two solar mass neutron star, Nature (London) 467, 1081 (2010).
- E. Fonseca et al., Refined mass and geometric measurements of the high-mass PSR , Astrophys. J. Lett. 915, L12 (2021).
- J. Antoniadis et al., A massive pulsar in a compact relativistic binary, Science 340, 6131 (2013).
- B. Abbott et al. (LIGO Scientific and Virgo Collaborations), GW170817: Observation of gravitational waves from a binary neutron star inspiral, Phys. Rev. Lett. 119, 161101 (2017).
- K.-W. Li, X.-L. Ren, L.-S. Geng, and B. Long, Strangeness hyperon-nucleon scattering in covariant chiral effective field theory, Phys. Rev. D 94, 014029 (2016).
- A. Jinno, J. Haidenbauer, and U.-G. Meißner, Properties of hyperons in nuclear matter from chiral hyperon-nucleon interactions at next-to-next-to-leading order, Phys. Rev. C 112, 065209 (2025).
- H. Le, J. Haidenbauer, U.-G. Meißner, and A. Nogga, Light hypernuclei studied with chiral hyperon-nucleon and hyperon-nucleon-nucleon forces, Phys. Rev. Lett. 134, 072502 (2025).
- A. Gal, E. V. Hungerford, and D. J. Millener, Strangeness in nuclear physics, Rev. Mod. Phys. 88, 035004 (2016).
- E. Friedman and A. Gal, Constraints from hypernuclei on the content of the -nucleus potential, Phys. Lett. B 837, 137669 (2023).
- E. Hiyama and T. Doi, Cluster phenomena using few-body and lattice QCD theories, Eur. Phys. J. A 61, 270 (2025).
- K. Miwa, K. Nakazawa, H. Tamura, E. Hiyama, and T. Takahashi, Nuclear systems with strangeness and baryon–baryon interactions, Eur. Phys. J. A 61, 128 (2025).
- E. Hiyama, K. Sasaki, T. Miyamoto, T. Doi, T. Hatsuda, Y. Yamamoto, and T. A. Rijken, Possible lightest hypernucleus with modern interactions, Phys. Rev. Lett. 124, 092501 (2020).
- J. Haidenbauer, U.-G. Meißner, and A. Nogga, Ab initio description of hypernuclei, arXiv:2508.05243.
- H. Tong, S. Elhatisari, U.-G. Meißner, and Z. Ren, Multi-strangeness matter from ab initio calculations, arXiv:2509.26148.
- H. Tong, S. Elhatisari, and U.-G. Meißner, Hyperneutron stars from an ab initio calculation, Astrophys. J. 982, 164 (2025).
- T. Muto, Properties of a kaon-condensed phase in hyperon-mixed matter with three-baryon forces, Phys. Rev. C 111, 045802 (2025).
- D. Gerstung, N. Kaiser, and W. Weise, Hyperon–nucleon three-body forces and strangeness in neutron stars, Eur. Phys. J. A 56, 175 (2020).
- T. Kojo, Stiffening of matter in quark–hadron continuity: A mini-review, J. Subatomic Part. Cosmol. 4, 100088 (2025).
- L. McLerran and S. Reddy, Quarkyonic matter and neutron stars, Phys. Rev. Lett. 122, 122701 (2019).
- K. S. Jeong, L. McLerran, and S. Sen, Dynamically generated momentum space shell structure of quarkyonic matter via an excluded volume model, Phys. Rev. C 101, 035201 (2020).
- D. C. Duarte, S. Hernandez-Ortiz, and K. S. Jeong, Excluded-volume model for quarkyonic matter: Three-flavor baryon-quark mixture, Phys. Rev. C 102, 025203 (2020).
- D. C. Duarte, S. Hernandez-Ortiz, and K. S. Jeong, Excluded-volume model for quarkyonic matter. II. Three-flavor shell-like distribution of baryons in phase space, Phys. Rev. C 102, 065202 (2020).
- T. Zhao and J. M. Lattimer, Quarkyonic matter equation of state in beta-equilibrium, Phys. Rev. D 102, 023021 (2020).
- K. Fukushima, T. Kojo, and W. Weise, Hard-core deconfinement and soft-surface delocalization from nuclear to quark matter, Phys. Rev. D 102, 096017 (2020).
- T. Kojo, Stiffening of matter in quark-hadron continuity, Phys. Rev. D 104, 074005 (2021).
- T. Kojo and D. Suenaga, Peaks of sound velocity in two color dense QCD: Quark saturation effects and semishort range correlations, Phys. Rev. D 105, 076001 (2022).
- Y. Fujimoto, T. Kojo, and L. D. McLerran, Momentum shell in quarkyonic matter from explicit duality: A dual model for cold, dense QCD, Phys. Rev. Lett. 132, 112701 (2024).
- H. Tajima, K. Iida, T. Kojo, and H. Liang, Tripling fluctuations and peaked sound speed in fermionic matter, Phys. Rev. Lett. 135, 042701 (2025).
- Y. Yamamoto, N. Yasutake, and T. A. Rijken, Nucleon-quark mixed matter and neutron-star equation of state, Phys. Rev. C 110, 025805 (2024).
- K. Saito, T. Miyatsu, and M.-K. Cheoun, A quarkyonic quark-meson coupling model for nuclear and neutron matter, arXiv:2512.04505.
- B. Gao and M. Harada, Quarkyonic matter with chiral symmetry restoration, Phys. Rev. D 111, 016024 (2025).
- B. Gao and M. Marczenko, Suppression of dynamical momentum-space shell by chiral symmetry, Phys. Rev. C 113, 015205 (2026).
- W. Bentz and I. C. Cloët, Effects of quark core sizes of baryons in neutron star matter, Symmetry 17, 505 (2025).
- C. Gärtlein, O. Ivanytskyi, V. Sagun, and I. Lopes, Color-superconducting quarkyonic matter, Phys. Rev. D 113, 034017 (2026).
- O. Ivanytskyi, Quarkyonic picture of isospin QCD, Phys. Rev. D 112, 034001 (2025).
- V. Koch, L. McLerran, G. A. Miller, and V. Vovchenko, Examining the possibility that normal nuclear matter is quarkyonic, Phys. Rev. C 110, 025201 (2024).
- L. McLerran and G. A. Miller, Quark Pauli principle and the transmutation of nuclear matter, Phys. Rev. C 110, 045203 (2024).
- A. Nikolakopoulos and G. A. Miller, Quark phase space distributions in nuclei, Phys. Rev. C 112, 065206 (2025).
- Y. Fujimoto, T. Kojo, and L. McLerran, Quarkyonic matter pieces together the hyperon puzzle, arXiv:2410.22758.
- T. T. Takahashi and Y. Kanada-En’yo, Hadron-hadron interaction from SU(2) lattice QCD, Phys. Rev. D 82, 094506 (2010).
- K. Iida, E. Itou, and T.-G. Lee, Relative scale setting for two-color QCD with Wilson fermions, Prog. Theor. Exp. Phys. 2021, 013B05 (2021).
- E. Itou, Lattice results for the equation of state in dense QCD-like theories, Universe 11, 380 (2025).
- K. Iida and E. Itou, Velocity of sound beyond the high-density relativistic limit from lattice simulation of dense two-color QCD, Prog. Theor. Exp. Phys. 2022, 111B01 (2022).
- K. Murakami, D. Suenaga, K. Iida, and E. Itou, Measurement of hadron masses in 2-color finite density QCD, Proc. Sci. LATTICE2022 (2023) 154 [arXiv:2211.13472].
- K. Iida, E. Itou, and T.-G. Lee, Two-colour QCD phases and the topology at low temperature and high density, J. High Energy Phys. 01 (2020) 181.
- N. Astrakhantsev, V. Braguta, E. Ilgenfritz, A. Kotov, and A. Nikolaev, Lattice study of thermodynamic properties of dense , Phys. Rev. D 102, 074507 (2020).
- N. Y. Astrakhantsev, V. G. Bornyakov, V. V. Braguta, E. M. Ilgenfritz, A. Y. Kotov, A. A. Nikolaev, and A. Rothkopf, Lattice study of static quark-antiquark interactions in dense quark matter, J. High Energy Phys. 05 (2019) 171.
- V. G. Bornyakov, V. V. Braguta, A. A. Nikolaev, and R. N. Rogalyov, Effects of dense quark matter on gluon propagators in lattice , Phys. Rev. D 102, 114511 (2020).
- T. Boz, O. Hajizadeh, A. Maas, and J.-I. Skullerud, Finite-density gauge correlation functions in QC2D, Phys. Rev. D 99, 074514 (2019).
- V. G. Bornyakov, V. V. Braguta, E. M. Ilgenfritz, A. Y. Kotov, A. V. Molochkov, and A. A. Nikolaev, Observation of deconfinement in a cold dense quark medium, J. High Energy Phys. 03 (2018) 161.
- V. V. Braguta, E. M. Ilgenfritz, A. Y. Kotov, A. V. Molochkov, and A. A. Nikolaev, Study of the phase diagram of dense two-color QCD within lattice simulation, Phys. Rev. D 94, 114510 (2016).
- V. V. Braguta, V. A. Goy, E. M. Ilgenfritz, A. Y. Kotov, A. V. Molochkov, M. Muller-Preussker, and B. Petersson, Two-color QCD with non-zero chiral chemical potential, J. High Energy Phys. 06 (2015) 094.
- V. Braguta, M. N. Chernodub, V. A. Goy, K. Landsteiner, A. V. Molochkov, and M. I. Polikarpov, Temperature dependence of the axial magnetic effect in two-color quenched QCD, Phys. Rev. D 89, 074510 (2014).
- P. V. Buividovich, D. Smith, and L. von Smekal, Numerical study of the chiral separation effect in two-color QCD at finite density, Phys. Rev. D 104, 014511 (2021).
- R. Abbott, W. Detmold, F. Romero-López, Z. Davoudi, M. Illa, A. Parreño, R. J. Perry, P. E. Shanahan, and M. L. Wagman (NPLQCD Collaboration), Lattice quantum chromodynamics at large isospin density, Phys. Rev. D 108, 114506 (2023).
- R. Abbott, W. Detmold, M. Illa, A. Parreño, R. J. Perry, F. Romero-López, P. E. Shanahan, and M. L. Wagman (NPLQCD Collaboration), QCD constraints on isospin-dense matter and the nuclear equation of state, Phys. Rev. Lett. 134, 011903 (2025).
- B. B. Brandt, F. Cuteri, and G. Endrodi, Equation of state and speed of sound of isospin-asymmetric QCD on the lattice, J. High Energy Phys. 07 (2023) 055.
- B. B. Brandt, G. Endrodi, and S. Schmalzbauer, QCD phase diagram for nonzero isospin-asymmetry, Phys. Rev. D 97, 054514 (2018).
- M. Sakai and D. Suenaga, Roles of axial anomaly effects in cold and dense two-color QCD with flavors, Phys. Rev. D 112, 114042 (2025).
- J. Schrieffer, Theory of Superconductivity, Advanced Books Classics (Avalon Publishing, Reading, MA, 1999).
- A. J. Leggett and S. Zhang, The bec-bcs crossover: Some history and some general observations, in The BCS-BEC Crossover and the Unitary Fermi Gas, Lecture Notes in Physics, edited by W. Zwerger (Springer, Berlin, 2012), pp. 33–47.
- M. M. Parish, The BCS-BEC Crossover, Quantum Gas Experiments: Exploring Many-Body States. Edited by TORMA PAIVI et al. (World Scientific Publishing Co. Pte. Ltd, Singapore, 2015) (2015), pp. 179–197.
- L. McLerran and R. D. Pisarski, Phases of cold, dense quarks at large N(c), Nucl. Phys. A796, 83 (2007).
- N. Strodthoff and L. von Smekal, Polyakov-quark-meson-diquark model for two-color QCD, Phys. Lett. B 731, 350 (2014).
- N. Strodthoff, B.-J. Schaefer, and L. von Smekal, Quark-meson-diquark model for two-color QCD, Phys. Rev. D 85, 074007 (2012).
- P. Adhikari, J. O. Andersen, and P. Kneschke, Pion condensation and phase diagram in the Polyakov-loop quark-meson model, Phys. Rev. D 98, 074016 (2018).
- P. Adhikari, J. O. Andersen, and P. Kneschke, On-shell parameter fixing in the quark-meson model, Phys. Rev. D 95, 036017 (2017).
- R. Chiba and T. Kojo, Sound velocity peak and conformality in isospin QCD, Phys. Rev. D 109, 076006 (2024).
- A. Ayala, A. Bandyopadhyay, R. L. S. Farias, L. A. Hernández, and J. L. Hernández, QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case, Phys. Rev. D 107, 074027 (2023).
- T. Kojo, D. Suenaga, and R. Chiba, Isospin QCD as a laboratory for dense QCD, Universe 10, 293 (2024).