Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-03-03
Prog.Theor.Phys.125:1225-1240,2011
Physics
High Energy Physics
High Energy Physics - Lattice
15 pages, 16 figures
Scientific paper
10.1143/PTP.125.1225
By the quenched lattice QCD simulation for two nucleons with finite scattering energy, validity of the delivative expansion of the general nucleon-nucleon potential U(r,r') = V(r, {\nabla}_r) \delta^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 ~ 0.137 fm and the spatial extent L_s ~ 4.4 fm with the pion mass m_{\pi} ~ 530 MeV, the local potentials for two different energies (E ~ 0 MeV and 45 MeV) are compared and found to be identical within statistical errors, which validates the local approximation of U(r,r') up to E=45 MeV 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 ~ 45 MeV are also found to be the same within the errors, which also supports the local approximation.
Aoki Sinya
Hatsuda Tetsuo
Ishii Noriyoshi
Murano Keiko
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