Lattice quantum chromodynamics and baryon-baryon interactions

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.

Keywords

lattice QCD / nuclear force / exotic hadron

References

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

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

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

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

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

[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)

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

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

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

[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)

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

[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 initiodetermination of light hadron masses, Science 322(5905), 1224 (2008)

[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 initiocalculation of the neutronproton mass difference, Science 347(6229), 1452 (2015)

[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)

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

[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, , Review of lattice results concerning low-energy particle physics, Eur. Phys. J. C 74(9), 2890 (2014)

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

[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)

[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)

[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)

[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)

[26] T. Inoue, (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)

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

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

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

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

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

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

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

[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)

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

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

[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)

[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)

[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)

[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)

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

RIGHTS & PERMISSIONS

2018 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature