Hyperfine Interactions

, 239:29 | Cite as

Proton and neutron electromagnetic form factor and charge radius in lattice QCD

  • Eigo ShintaniEmail author
  • on behalf of PACS collaboration
Part of the following topical collections:
  1. Proceedings of the 13th International Conference on Low Energy Antiproton Physics (LEAP 2018) Paris, France, 12-16 March 2018


We report our recent study of nucleon electromagnetic form factor and its charge radius in lattice QCD. We compute the form factor using large size of lattice volume, more than 8 fm3, at (almost) physical pion mass which is the first realistic computation by reducing the systematic errors of the finite size correction and chiral extrapolation. We present preliminary results of not only isovector form factor but also isoscalar one, and discuss a comparison with experimental result.


Proton radius puzzle Nucleon form factor Lattice QCD 



Numerical calculations were performed on the K computer in RIKEN Center for Computational Science (CCS), Hokusai at Advanced Center for Computing and Communication (ACCC) in RIKEN, XC40 at YITP in Kyoto University. This computation is also supported by Interdisciplinary Computational Science Program No. xg17i008, xg18i012 in Tsukuba CCS, General use No. G17029, G18001 at ACCC, and resources of the K computer provided by the RIKEN-CCS through the HPCI System Research project (Project ID:hp170022, hp180126 and hp180072).


  1. 1.
    Alexandrou, C., Constantinou, M., Hadjiyiannakou, K., Jansen, K., Kallidonis, C., Koutsou, G., Vaquero Aviles-Casco, A.: Nucleon electromagnetic form factors using lattice simulations at the physical point. Phys. Rev. D 96(3), 034503 (2017)ADSCrossRefGoogle Scholar
  2. 2.
    Tsukamoto, N., et al.: [PACS Collaboration], Nucleon structure from 2 + 1 flavor lattice QCD near the physical point. EPJ Web Conf. 175, 06007 (2018)CrossRefGoogle Scholar
  3. 3.
    Antognini, A., et al.: Proton structure from the measurement of 2S − 2P transition frequencies of muonic hydrogen. Science 339, 417 (2013)ADSCrossRefGoogle Scholar
  4. 4.
    Shintani, E., Arthur, R., Blum, T., Izubuchi, T., Jung, C., Lehner, C.: Covariant approximation averaging. Phys. Rev. D 91(11), 114511 (2015)ADSCrossRefGoogle Scholar
  5. 5.
    von Hippel, G., Rae, T.D., Shintani, E., Wittig, H.: Nucleon matrix elements from lattice QCD with all-mode-averaging and a domain-decomposed solver: an exploratory study. Nucl. Phys. B 914, 138 (2017)ADSCrossRefGoogle Scholar
  6. 6.
    Ishikawa, K.-I., et al.: [PACS Collaboration], 2 + 1 Flavor QCD Simulation on a 964 Lattice. PoS LATTICE 2015, 075 (2016)Google Scholar
  7. 7.
    Kuramashi, Y., et al.: [PACS Collaboration], Nucleon form factors near the physical point in 2 + 1 flavor QCD. PoS LATTICE 2016, 158 (2016)Google Scholar
  8. 8.
    Ishikawa, K.-I., et al.: [PACS Collaboration], Mass and Axial current renormalization in the Schrödinger functional scheme for the RG-improved gauge and the stout smeared O(a)-improved Wilson quark actions. PoS LATTICE 2015, 271 (2016)Google Scholar
  9. 9.
    Kelly, J.J.: Simple parametrization of nucleon form factors. Phys. Rev. C 70, 068202 (2004)ADSCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.RIKEN Center for Computational ScienceKobeJapan

Personalised recommendations