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@ARTICLE{Hasan:844236,
      author       = {Hasan, Nesreen and Green, Jeremy and Meinel, Stefan and
                      Engelhardt, Michael and Krieg, Stefan and Negele, John and
                      Pochinsky, Andrew and Syritsyn, Sergey},
      title        = {{C}omputing the nucleon charge and axial radii directly at
                      {Q}² = 0 in lattice {QCD}},
      journal      = {Physical review / D},
      volume       = {97},
      number       = {3},
      issn         = {2470-0010},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2018-01677},
      pages        = {034504},
      year         = {2018},
      abstract     = {We describe a procedure for extracting momentum derivatives
                      of nucleon matrix elements on the lattice directly at
                      $Q^2=0$. This is based on the Rome method for computing
                      momentum derivatives of quark propagators. We apply this
                      procedure to extract the nucleon isovector magnetic moment
                      and charge radius as well as the isovector induced
                      pseudoscalar form factor at $Q^2=0$ and the axial radius.
                      For comparison, we also determine these quantities with the
                      traditional approach of computing the corresponding form
                      factors, i.e. $G^v_E(Q^2)$ and $G_M^v(Q^2)$ for the case of
                      the vector current and $G_P^v(Q^2)$ and $G_A^v(Q^2)$ for the
                      axial current, at multiple $Q^2$ values followed by
                      $z$-expansion fits. We perform our calculations at the
                      physical pion mass using a 2HEX-smeared Wilson-clover
                      action. To control the effects of excited-state
                      contamination, the calculations were done at three
                      source-sink separations and the summation method was used.
                      The derivative method produces results consistent with those
                      from the traditional approach but with larger statistical
                      uncertainties especially for the isovector charge and axial
                      radii.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511) / PhD no Grant - Doktorand ohne besondere
                      Förderung (PHD-NO-GRANT-20170405)},
      pid          = {G:(DE-HGF)POF3-511 / G:(DE-Juel1)PHD-NO-GRANT-20170405},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {1711.11385},
      howpublished = {arXiv:1711.11385},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1711.11385;\%\%$},
      UT           = {WOS:000424629800002},
      doi          = {10.1103/PhysRevD.97.034504},
      url          = {https://juser.fz-juelich.de/record/844236},
}