## Energy dependence of nucleon-nucleon potentials

##### Authors
Aoki, Sinya
Balog, Janos
Hatsuda, Tetsuo
Ishii, Noriyoshi
Murano, Keiko
Nemura, Hidekatsu
Weisz, Peter
##### Description
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.
Comment: 7 pages, 5 figures, talk presented at the XXVI International Symposium on Lattice Field Theory, July 14-19, 2008, Williamsburg, Virginia, USA
##### Keywords
High Energy Physics - Lattice