Dirac and Pauli form factors of nucleons using nonlocal chiral effective Lagrangian

  • Dirac and Pauli form factors are investigated in the relativistic chiral effective Lagrangian. The octet and decuplet intermediate states are included in the one-loop calculation. The 4-dimensional regulator is introduced to deal with the divergence. Different from the non-relativistic case, this 4-dimensional regulator is generated from the nonlocal Lagrangian with the gauge link, which guarantees local gauge invariance. As a result, additional diagrams appear which ensure electric charge 1 and 0 for proton and neutron respectively. The obtained Dirac and Pauli form factors of the nucleons are all reasonable up to relatively large Q2.
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Fangcheng He and Ping Wang. Dirac and Pauli form factors of nucleons using nonlocal chiral effective Lagrangian[J]. Chinese Physics C, 2017, 41(11): 114106. doi: 10.1088/1674-1137/41/11/114106
Fangcheng He and Ping Wang. Dirac and Pauli form factors of nucleons using nonlocal chiral effective Lagrangian[J]. Chinese Physics C, 2017, 41(11): 114106.  doi: 10.1088/1674-1137/41/11/114106 shu
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Received: 2017-05-15
Revised: 2017-08-21
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    Supported by National Natural Science Foundation of China (11475186) and Sino-German CRC 110 (NSFC 11621131001)

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Dirac and Pauli form factors of nucleons using nonlocal chiral effective Lagrangian

    Corresponding author: Fangcheng He,
    Corresponding author: Ping Wang,
  • 1. Institute of High Energy Physics, Beijing 100049, China
  • 2. University of Chinese Academy of Sciences, Beijing 100049, China
  • 3. Theoretical Physics Center for Science Facilities(TPCSF), Chinese Academy of Sciences, Beijing 100049, China
Fund Project:  Supported by National Natural Science Foundation of China (11475186) and Sino-German CRC 110 (NSFC 11621131001)

Abstract: Dirac and Pauli form factors are investigated in the relativistic chiral effective Lagrangian. The octet and decuplet intermediate states are included in the one-loop calculation. The 4-dimensional regulator is introduced to deal with the divergence. Different from the non-relativistic case, this 4-dimensional regulator is generated from the nonlocal Lagrangian with the gauge link, which guarantees local gauge invariance. As a result, additional diagrams appear which ensure electric charge 1 and 0 for proton and neutron respectively. The obtained Dirac and Pauli form factors of the nucleons are all reasonable up to relatively large Q2.

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