Scattering length from BS wave function inside the interaction range

Y. Namekawa; T. Yamazaki

Scattering length from BS wave function inside the interaction range

High Energy Physics - Lattice 2019-01-01 v1

Authors: Y. Namekawa , T. Yamazaki

Abstract

We evaluate $I=2$ two-pion scattering length through the scattering amplitude obtained by the Bethe-Salpeter wave function inside the interaction range. The scattering length is computed with $m_\pi = 0.52-0.86$ GeV in the quenched lattice QCD. Furthermore, the half-off-shell amplitude is calculated, from which the effective range is extracted. Our results are compared with those by the conventional finite size method and by chiral perturbation theory to confirm consistency.

Keywords

scattering

Cite

@article{arxiv.1812.11521,
  title  = {Scattering length from BS wave function inside the interaction range},
  author = {Y. Namekawa and T. Yamazaki},
  journal= {arXiv preprint arXiv:1812.11521},
  year   = {2019}
}

Comments

7 pages, 4 figures, presented at the 36th Annual International Symposium on Lattice Field Theory - LATTICE2018 - 22-28 July, 2018, Michigan State University, East Lansing, Michigan, USA

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