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Abstract

By the quenched lattice QCD simulation for two nucleons with finite scattering energy, validity of the derivative expansion of the general nucleon-nucleon potential U(r, r')=V (r, ∇_r)δ^3 (r-r') is studied. The relative kinetic energy between two nucleons is introduced through the anti-periodic boundary condition in the spatial directions. On a hypercubic lattice with the lattice spacing a≃0.137fm and the spatial extent L_s≃4.4fm with the pion mass m_π≃530MeV, the local potentials for two different energies (E≃0MeV and 45MeV) are compared and found to be identical within statistical errors, which validates the local approximation of U(r, r) up to E=45MeV for the central and tensor potentials. Central potentials in the spin-singlet channel for different orbital angular momentums (l=0 and l=2) at E≃45MeV are also found to be the same within the errors, which also supports the local approximation.

Journal

  • Progress of theoretical physics

    Progress of theoretical physics 125(6), 1225-1240, 2011-06-25

    Publication Office, Progress of Theoretical Physics

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Codes

  • NII Article ID (NAID)
    110008685832
  • NII NACSIS-CAT ID (NCID)
    AA00791455
  • Text Lang
    ENG
  • Article Type
    ART
  • ISSN
    0033068X
  • NDL Article ID
    11132197
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A468
  • Data Source
    CJP  NDL  NII-ELS 
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