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 0.52–0.86 GeV. We examine consistency between a result by the conventional finite volume method and our estimate, as well as the phenomenological value.
8 More- Received 2 April 2019
DOI:https://doi.org/10.1103/PhysRevD.99.114508
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society