Skip to main content
Log in

Lattice quantum chromodynamics and baryon-baryon interactions

  • Review Article
  • Published:
Frontiers of Physics Aims and scope Submit manuscript

Abstract

After briefly reviewing the theoretical concepts and numerical methods in lattice QCD, recent simulation results of the hadron masses and hadron interactions with nearly physical quark masses are presented. Special emphasis is placed on the baryon-baryon interactions on the basis of the HAL QCD method where the integro-differential equation for the equal-time Nambu–Bethe–Salpeter amplitude plays a key role to bridge a gap between the multi-baryon correlation and the scattering observable such as the phase shift.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. G. Wilson, Confinement of quarks, Phys. Rev. D 10(8), 2445 (1974)

    Article  ADS  Google Scholar 

  2. A. Ukawa, Kenneth Wilson and lattice QCD, J. Stat. Phys. 160(5), 1081 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  3. N. Ishii, S. Aoki, and T. Hatsuda, Nuclear force from lattice QCD, Phys. Rev. Lett. 99(2), 022001 (2007)

    Article  ADS  Google Scholar 

  4. T. Hatsuda, Lattice quantum chromodynamics, Lect. Notes Phys. 936, 55 (2017)

    Article  ADS  Google Scholar 

  5. T. Inoue, et al. (HAL QCD Collaboration), Hyperon single-particle potentials from QCD on lattice, PoS INPC 2016, 277 (2016)

    Google Scholar 

  6. S. Gongyo, K. Sasaki, S. Aoki, T. Doi, T. Hatsuda, Y. Ikeda, T. Inoue, T. Iritani, N. Ishii, T. Miyamoto, and H. Nemura, Most strange dibaryon from lattice QCD, Phys. Rev. Lett. 120(21), 212001 (2018)

    Article  ADS  Google Scholar 

  7. H. B. Nielsen and M. Ninomiya, A no-go theorem for regularizing chiral fermions, Phys. Lett. 105(2–3), 219 (1981)

    Article  Google Scholar 

  8. P. H. Ginsparg and K. G. Wilson, A remnant of chiral symmetry on the lattice, Phys. Rev. D 25(10), 2649 (1982)

    Article  ADS  Google Scholar 

  9. S. Duane, A. D. Kennedy, B. J. Pendleton, and D. Roweth, Hybrid Monte Carlo, Phys. Lett. B 195(2), 216 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  10. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, Equation of state calculations by fast computing machines, J. Chem. Phys. 21(6), 1087 (1953)

    Article  ADS  Google Scholar 

  11. S. Schaefer, Status and challenges of simulations with dynamical fermions, PoS LATTICE 2012, 001 (2012)

    Google Scholar 

  12. S. Durr, Z. Fodor, J. Frison, C. Hoelbling, R. Hoffmann, S. D. Katz, S. Krieg, T. Kurth, L. Lellouch, T. Lippert, K. K. Szabo, and G. Vulvert, ab initio determination of light hadron masses, Science 322(5905), 1224 (2008)

    Article  ADS  Google Scholar 

  13. S. Borsanyi, S. Durr, Z. Fodor, C. Hoelbling, S. D. Katz, S. Krieg, L. Lellouch, T. Lippert, A. Portelli, K. K. Szabo, and B. C. Toth, ab initio calculation of the neutronproton mass difference, Science 347(6229), 1452 (2015)

    Article  ADS  Google Scholar 

  14. The Review of Particle Physics, http://pdg.lbl.gov/(2015)

  15. M. Asakawa, T. Hatsuda, and Y. Nakahara, Maximum entropy analysis of the spectral functions in lattice QCD, Prog. Part. Nucl. Phys. 46(2), 459 (2001)

    Article  ADS  Google Scholar 

  16. Z. Fodor and C. Hoelbling, Light hadron masses from lattice QCD, Rev. Mod. Phys. 84(2), 449 (2012)

    Article  ADS  Google Scholar 

  17. R. Machleidt, Nuclear forces from chiral effective field theory, arXiv: 0704.0807 [nucl-th]

  18. S. Aoki, Y. Aoki, C. Bernard, T. Blum, G. Colangelo, et al., Review of lattice results concerning low-energy particle physics, Eur. Phys. J. C 74(9), 2890 (2014)

    Article  ADS  Google Scholar 

  19. M. Lüscher, Two-particle states on a torus and their relation to the scattering matrix, Nucl. Phys. B 354(2–3), 531 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  20. N. Ishii, S. Aoki, T. Doi, T. Hatsuda, Y. Ikeda, T. Inoue, K. Murano, H. Nemura, and K. Sasaki (HAL QCD Collaboration), Hadron–hadron interactions from imaginary-time Nambu–Bethe–Salpeter wave function on the lattice, Phys. Lett. B 712(4–5), 437 (2012)

    Article  ADS  Google Scholar 

  21. G. P. Lepage, in: From Actions to Answers: Proceedings of the TASI 1989, edited by T. Degrand and D. Toussaint, World Scientific, Singapore, 1990

  22. T. Iritani, T. Doi, S. Aoki, S. Gongyo, T. Hatsuda, Y. Ikeda, T. Inoue, N. Ishii, K. Murano, H. Nemura, and K. Sasaki, Mirage in temporal correlation functions for baryon-baryon interactions in lattice QCD, JHEP 1610(10), 101 (2016)

    Article  ADS  Google Scholar 

  23. T. Iritani, S. Aoki, T. Doi, T. Hatsuda, Y. Ikeda, T. Inoue, N. Ishii, H. Nemura, and K. Sasaki, Are two nucleons bound in lattice QCD for heavy quark masses? Consistency check with Lüscher’s finite volume formula, Phys. Rev. D 96(3), 034521 (2017)

    Article  ADS  Google Scholar 

  24. S. Aoki, T. Doi, and T. Iritani, Sanity check for NN bound states in lattice QCD with Lüscher’s finite volume formula–Exposing symptoms of fake plateaux, arXiv: 1707.08800 [hep-lat]

  25. S. Okubo and R. E. Marshak, Velocity dependence of the two-nucleon interaction, Ann. Phys. 4, 166 (1958)

    Article  ADS  Google Scholar 

  26. T. Inoue, et al. (HAL QCD Collaboration), Equation of state for nucleonic matter and its quark mass dependence from the nuclear force in Lattice QCD, Phys. Rev. Lett. 111(11), 112503 (2013)

    Article  ADS  Google Scholar 

  27. T. Doi, et al., Baryon interactions from lattice QCD with physical masses–Overview and S = 0,–4 sectors, PoS LATTICE 2016, 110 (2017)

    Google Scholar 

  28. K. Sasaki, et al., Baryon interactions from lattice QCD with physical masses–S =–2 sector, PoS LATTICE 2016, 116 (2017)

    Google Scholar 

  29. H. Clement, On the history of dibaryons and their final observation, Prog. Part. Nucl. Phys. 93, 195 (2017)

    Article  ADS  Google Scholar 

  30. S. Cho, et al. (ExHIC Collaboration), Exotic hadrons from heavy ion collisions, Prog. Part. Nucl. Phys. 95, 279 (2017)

    Google Scholar 

  31. R. L. Jaffe, Perhaps a stable dihyperon, Phys. Rev. Lett. 38(5), 195 (1977)

    Article  ADS  Google Scholar 

  32. T. Goldman, K. Maltman, K. E. Stephenson, K. E. Schmidt, and F. Wang, Strangeness–3 dibaryons, Phys. Rev. Lett. 59(6), 627 (1987)

    Article  ADS  Google Scholar 

  33. F. Etminan, et al. (HAL QCD Collaboration), Spin-2 NW dibaryon from lattice QCD, Nucl. Phys. A. 928, 89 (2014)

    Article  ADS  Google Scholar 

  34. K. Morita, A. Ohnishi, F. Etminan, and T. Hatsuda, Probing multistrange dibaryons with proton-omega correlations in high-energy heavy ion collisions, Phys. Rev. C 94(3), 031901 (2016)

    Article  ADS  Google Scholar 

  35. M. Oka, K. Shimizu, and K. Yazaki, Quark cluster model of Baryon-Baryon interaction, Prog. Theor. Phys. Suppl. 137, 1 (2000)

    Article  ADS  Google Scholar 

  36. F. Dyson and N. H. Xuong, Y = 2 states in SU(6) theory, Phys. Rev. Lett. 13(26), 815 (1964)

    Article  ADS  MathSciNet  Google Scholar 

  37. Z. Y. Zhang, Y. W. Yu, P. N. Shen, L. R. Dai, A. Faessler, and U. Straub, Hyperon-nucleon interactions in a chiral SU(3) quark model, Nucl. Phys. A. 625(1–2), 59 (1997)

    Article  ADS  Google Scholar 

  38. Z. Y. Zhang, Y. W. Yu, C. R. Ching, T. H. Ho, and Z. D. Lu, Suggesting a di-omega dibaryon search in heavy ion collision experiments, Phys. Rev. C 61(6), 065204 (2000)

    Article  ADS  Google Scholar 

  39. F. Wang, J. L. Ping, G. H. Wu, L. J. Teng, and T. Goldman, Quark delocalization, color screening, and dibaryons, Phys. Rev. C 51(6), 3411 (1995)

    Article  ADS  Google Scholar 

  40. F. Wang, G. H. Wu, L. J. Teng, and T. Goldman, Quark delocalization, color screening, and nuclear intermediate range attraction, Phys. Rev. Lett. 69(20), 2901 (1992)

    Article  ADS  Google Scholar 

  41. P. Naidon and S. Endo, Efimov physics: A review, Rep. Prog. Phys. 80(5), 056001 (2017)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

I would like to dedicate this article to Prof. Akito Arima who has made fundamental contributions to modern nuclear physics.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tetsuo Hatsuda.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hatsuda, T. Lattice quantum chromodynamics and baryon-baryon interactions. Front. Phys. 13, 132105 (2018). https://doi.org/10.1007/s11467-018-0829-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11467-018-0829-4

Keywords

Navigation