Energy dependence of nucleon-nucleon potentials
  We investigate the energy dependence of potentials defined through the Bethe-Salpeter wave functions. We analytically evaluate such a potential in the Ising field theory in 2 dimensions and show that its energy dependence is weak at low energy. We then numerically calculate the nucleon-nucleon potential at non-zero energy using quenched QCD with anti-periodic boundary condition. In this case we also observe that the potentials are almost identical at $E\simeq 0$ and $E\simeq 50$ MeV, where $E$ is the center of mass kinetic energy. 
Sinya Aoki, Janos Balog, Tetsuo Hatsuda, Noriyoshi Ishii, Keiko   Murano, Hidekatsu Nemura and Peter Weisz