### 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 E ≅ 0 and E ≅ 50 MeV, where E is the center of mass kinetic energy.

Original language | English |
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Journal | Proceedings of Science |

Volume | 66 |

Publication status | Published - Jan 1 2008 |

Event | 26th International Symposium on Lattice Field Theory, LATTICE 2008 - Williamsburg, United States Duration: Jul 14 2008 → Jul 19 2008 |

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### ASJC Scopus subject areas

- General

### Cite this

*Proceedings of Science*,

*66*.

**Energy dependence of nucleon-nucleon potentials.** / Aoki, Sinya; Balog, J.; Hatsuda, Tetsuo; Ishii, Noriyoshi; Murano, Keiko; Nemura, Hidekatsu; Weisz, Peter.

Research output: Contribution to journal › Conference article

*Proceedings of Science*, vol. 66.

}

TY - JOUR

T1 - Energy dependence of nucleon-nucleon potentials

AU - Aoki, Sinya

AU - Balog, J.

AU - Hatsuda, Tetsuo

AU - Ishii, Noriyoshi

AU - Murano, Keiko

AU - Nemura, Hidekatsu

AU - Weisz, Peter

PY - 2008/1/1

Y1 - 2008/1/1

N2 - 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 ≅ 0 and E ≅ 50 MeV, where E is the center of mass kinetic energy.

AB - 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 ≅ 0 and E ≅ 50 MeV, where E is the center of mass kinetic energy.

UR - http://www.scopus.com/inward/record.url?scp=82355194637&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=82355194637&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:82355194637

VL - 66

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -