Quark mass dependence of on-shell and half off-shell scattering amplitudes from Bethe-Salpeter wave function inside the interaction range
High Energy Physics - Lattice
2019-07-03 v1
Abstract
We evaluate scattering amplitudes at on-shell and half off-shell for S-wave two-pion system using the Bethe-Salpeter wave function inside the interaction range in the quenched QCD. The scattering length and effective range are extracted from these scattering amplitudes. Quark mass dependence of them is investigated with the pion mass ranged in --~GeV. We examine consistency between a result by the conventional finite volume method and our estimate, as well as the phenomenological value.
Keywords
Cite
@article{arxiv.1904.00387,
title = {Quark mass dependence of on-shell and half off-shell scattering amplitudes from Bethe-Salpeter wave function inside the interaction range},
author = {Yusuke Namekawa and Takeshi Yamazaki},
journal= {arXiv preprint arXiv:1904.00387},
year = {2019}
}
Comments
16 pages, 15 figures