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.
T. Inoue, et al. (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) https://doi.org/10.1103/PhysRevLett.120.212001
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) https://doi.org/10.1063/1.1699114
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) https://doi.org/10.1126/science.1163233
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) https://doi.org/10.1126/science.1257050
14
The Review of Particle Physics, (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) https://doi.org/10.1016/S0146-6410(01)00150-8
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) https://doi.org/10.1140/epjc/s10052-014-2890-7
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) https://doi.org/10.1016/j.physletb.2012.04.076
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) https://doi.org/10.1007/JHEP10(2016)101
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) https://doi.org/10.1103/PhysRevD.96.034521
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]
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) https://doi.org/10.1103/PhysRevLett.111.112503
27
T. Doi, et al., Baryon interactions from lattice QCD with physical masses – Overview and S= 0, –4 sectors, PoS LATTICE 2016, 110 (2017)
28
K. Sasaki, et al., Baryon interactions from lattice QCD with physical masses – S= –2 sector, PoS LATTICE 2016, 116 (2017)
T. Goldman, K. Maltman, K. E. Stephenson, K. E. Schmidt, and F. Wang, Strangeness –3 dibaryons, Phys. Rev. Lett. 59(6), 627 (1987) https://doi.org/10.1103/PhysRevLett.59.627
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) https://doi.org/10.1103/PhysRevC.94.031901
35
M. Oka, K. Shimizu, and K. Yazaki, Quark cluster model of Baryon-Baryon interaction, Prog. Theor. Phys. Suppl. 137, 1 (2000) https://doi.org/10.1143/PTPS.137.1
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) https://doi.org/10.1016/S0375-9474(97)00033-X
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) https://doi.org/10.1103/PhysRevC.61.065204
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) https://doi.org/10.1103/PhysRevC.51.3411
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) https://doi.org/10.1103/PhysRevLett.69.2901
