Skip to main content
Log in

Lattice QCD Towards Nuclear Forces

  • Published:
Few-Body Systems Aims and scope Submit manuscript

Abstract

Recent studies of nuclear forces based on lattice QCD are presented. Not only the central potential but also the tensor potential is deduced from the Nambu–Bethe–Salpeter wave function measured with lattice QCD. This method is applied to various kinds of nuclear potentials, such as \({V_{NN}, V_{\Lambda N}, V_{p{\Xi}^0},V_{\Lambda\Lambda-N\Xi-\Sigma\Sigma}}\) (coupled-channel potential), and \({V^{\{{\bf {27},{8}_s,{1},{10},\overline{10},{8}_a}\}}}\) (flavor representation potential). The energy dependence and the angular momentum dependence of the quenched V NN is studied. A challenge for three-nucleon force from lattice QCD is also presented.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Machleidt R., Slaus I.: The nucleon nucleon interaction. J. Phys. G 27, R69 (2001) [arXiv:nucl-th/0101056]

    Article  ADS  Google Scholar 

  2. Pieper, S.C.: Quantum Monte Carlo calculations of light nuclei. arXiv:0711.1500 [nucl-th]

  3. Fukugita M., Kuramashi Y., Okawa M., Mino H., Ukawa A.: Hadron scattering lengths in lattice QCD. Phys. Rev. D 52, 3003 (1995) [arXiv:hep-lat/9501024]

    Article  ADS  Google Scholar 

  4. Beane S.R., Bedaque P.F., Orginos K., Savage M.J.: Nucleon nucleon scattering from fully-dynamical lattice QCD. Phys. Rev. Lett. 97, 012001 (2006) [arXiv:hep-lat/0602010]

    Article  ADS  Google Scholar 

  5. Muroya S., Nakamura A., Nagata J.: Lattice study of Lambda p scattering length. Nucl. Phys. Proc. Suppl. 129, 239 (2004)

    Article  ADS  Google Scholar 

  6. Beane S.R. et al.: [NPLQCD Collab.]. Nucl. Phys. A 794, 62 (2007)

    Article  ADS  Google Scholar 

  7. Ishii N., Aoki S., Hatsuda T.: Phys. Rev. Lett. 99, 022001 (2007)

    Article  ADS  Google Scholar 

  8. Aoki S., Hatsuda T., Ishii N.: Theoretical Foundation of the Nuclear Force in QCD and its applications to Central and Tensor Forces in Quenched Lattice QCD Simulations. Prog. Theor. Phys. 123, 89 (2010) arXiv:0909.5585 [hep-lat]]

    Article  MATH  ADS  Google Scholar 

  9. Aoki S., Balog J., Hatsuda T., Ishii N., Murano K., NemuraH. Weisz P.: Energy dependence of nucleon-nucleon potentials. PoS LAT2008, 152 (2008) [arXiv:0812.0673 [hep-lat]]

    Google Scholar 

  10. Murano K., Ishii N., Aoki S., Hatsuda T.: Energy dependence of nucleon-nucleon potentials in lattice QCD. PoS LAT2009, 126 (2009) [arXiv:1003.0530 [hep-lat]]

    Google Scholar 

  11. Murano, K., Ishii, N., Aoki, S., Hatsuda, T.: Non-locality of the nucleon-nucleon potential from lattice QCD. [arXiv:1012.3814 [hep-lat]]

  12. Nemura H., Ishii N., Aoki S., Hatsuda T.: Hyperon-nucleon force from lattice QCD. Phys. Lett. B 673, 136 (2009) [arXiv:0806.1094 [nucl-th]]

    Article  ADS  Google Scholar 

  13. Ishii N.: (for PACS-CS and HAL QCD Collaboration). PoS LAT2009, 019 (2009) [arXiv:1004.0405 [hep-lat]]

    Google Scholar 

  14. Nemura H.: (HAL QCD Collaboration and PACS-CS Collaboration), Central and tensor Lambda-nucleon potentials from lattice QCD. PoS LAT2009, 152 (2009) [arXiv:1005.5352 [hep-lat]]

    Google Scholar 

  15. Inoue T.: [HAL QCD Collaboration], Baryon-baryon interactions in the flavor SU(3) limit from full QCD simulations on the lattice. Prog. Theor. Phys. 124, 591 (2010) [arXiv:1007.3559 [hep-lat]]

    Article  MATH  ADS  Google Scholar 

  16. Sasaki, K.: (for HAL QCD Collaboration) in these proceedings. [arXiv:1012.5684 [nuclth]]

  17. Doi, T.: (for HAL QCD Collaboration), the study of the three nucleon force in full QCD lattice calculations. [arXiv:1011.0657 [hep-lat]]

  18. Tamagaki R., Watari W.: Prog. Theor. Phys. Suppl. 39, 23 (1967)

    Article  ADS  Google Scholar 

  19. Okubo S., Marshak R.E.: Ann. Phys. (NY) 4, 166 (1958)

    Article  MATH  ADS  Google Scholar 

  20. Aoki S. et al.: (PACS-CS Collaboration), 2  +  1 Flavor Lattice QCD toward the Physical. Point. Phys. Rev. D 79, 034503 (2009) [arXiv:0807.1661 [hep-lat]]

    ADS  Google Scholar 

  21. Inoue, T., Ishii, N., Aoki, S., Doi, T., Hatsuda, T., Ikeda, Y., Murano, K., Nemura, H., Sasaki, K.: (HAL QCD Collaboration), Bound H-dibaryon in flavor SU(3) limit of lattice QCD. [arXiv:1012.5928 [hep-lat]]

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Nemura.

Additional information

H. Nemura for HAL QCD Collaboration.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nemura, H. Lattice QCD Towards Nuclear Forces. Few-Body Syst 50, 105–112 (2011). https://doi.org/10.1007/s00601-011-0215-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-011-0215-z

Keywords

Navigation