English

Scattering amplitude from Bethe-Salpeter wave function inside the interaction range

High Energy Physics - Lattice 2018-08-09 v2

Abstract

We propose a method to calculate scattering amplitudes using the Bethe-Salpeter wave function inside the interaction range on the lattice. For an exploratory study of this method, we evaluate a scattering length of I=2I=2 S-wave two pions by the use of the on-shell scattering amplitude. Our result is confirmed to be consistent with the value obtained from the conventional finite volume method. The half-off-shell scattering amplitude is also evaluated.

Keywords

Cite

@article{arxiv.1712.10141,
  title  = {Scattering amplitude from Bethe-Salpeter wave function inside the interaction range},
  author = {Yusuke Namekawa and Takeshi Yamazaki},
  journal= {arXiv preprint arXiv:1712.10141},
  year   = {2018}
}

Comments

5 pages, 4 figures; published version

R2 v1 2026-06-22T23:31:59.209Z