English

Energy dependence of nucleon-nucleon potentials

High Energy Physics - Lattice 2010-01-21 v1

Abstract

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 E0E\simeq 0 and E50E\simeq 50 MeV, where EE is the center of mass kinetic energy.

Keywords

Cite

@article{arxiv.0812.0673,
  title  = {Energy dependence of nucleon-nucleon potentials},
  author = {Sinya Aoki and Janos Balog and Tetsuo Hatsuda and Noriyoshi Ishii and Keiko Murano and Hidekatsu Nemura and Peter Weisz},
  journal= {arXiv preprint arXiv:0812.0673},
  year   = {2010}
}

Comments

7 pages, 5 figures, talk presented at the XXVI International Symposium on Lattice Field Theory, July 14-19, 2008, Williamsburg, Virginia, USA

R2 v1 2026-06-21T11:47:51.799Z