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@ARTICLE{Alarcn:828263,
      author       = {Alarcón, Jose Manuel and Du, Dechuan and Klein, Nico and
                      Lähde, Timo and Lee, Dean and Li, Ning and Lu, Bingnan and
                      Luu, Tom and Meissner, Ulf-G.},
      title        = {{N}eutron-proton scattering at next-to-next-to-leading
                      order in {N}uclear {L}attice {E}ffective {F}ield {T}heory},
      reportid     = {FZJ-2017-02231},
      year         = {2017},
      note         = {22 pages, 8 figures},
      abstract     = {We present a systematic study of neutron-proton scattering
                      in Nuclear Lattice Effective Field Theory (NLEFT), in terms
                      of the computationally efficient radial Hamiltonian method.
                      Our leading-order (LO) interaction consists of smeared,
                      local contact terms and static one-pion exchange. We show
                      results for a fully non-perturbative analysis up to
                      next-to-next-to-leading order (NNLO), followed by a
                      perturbative treatment of contributions beyond LO. The
                      latter analysis anticipates practical Monte Carlo
                      simulations of heavier nuclei. We explore how our results
                      depend on the lattice spacing a, and estimate sources of
                      uncertainty in the determination of the low-energy constants
                      of the next-to-leading-order (NLO) two-nucleon force. We
                      give results for lattice spacings ranging from a = 1.97 fm
                      down to a = 0.98 fm, and discuss the effects of lattice
                      artifacts on the scattering observables. At a = 0.98 fm,
                      lattice artifacts appear small, and our NNLO results agree
                      well with the Nijmegen partial-wave analysis for S-wave and
                      P-wave channels. We expect the peripheral partial waves to
                      be equally well described once the lattice momenta in the
                      pion-nucleon coupling are taken to coincide with the
                      continuum dispersion relation, and higher-order (N3LO)
                      contributions are included. We stress that for
                      center-of-mass momenta below 100 MeV, the physics of the
                      two-nucleon system is independent of the lattice spacing.},
      cin          = {IAS-4 / IKP-3},
      cid          = {I:(DE-Juel1)IAS-4-20090406 / I:(DE-Juel1)IKP-3-20111104},
      pnm          = {611 - Fundamental Particles and Forces (POF3-611) / DFG
                      project 196253076 - TRR 110: Symmetrien und Strukturbildung
                      in der Quantenchromodynamik (196253076)},
      pid          = {G:(DE-HGF)POF3-611 / G:(GEPRIS)196253076},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {1702.05319},
      howpublished = {arXiv:1702.05319},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1702.05319;\%\%$},
      url          = {https://juser.fz-juelich.de/record/828263},
}