• Open Access

Quark mass dependence of on-shell and half off-shell scattering amplitudes from Bethe-Salpeter wave function inside the interaction range

Yusuke Namekawa and Takeshi Yamazaki
Phys. Rev. D 99, 114508 – Published 24 June 2019

Abstract

We evaluate scattering amplitudes at on-shell and half off-shell for I=2 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.

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  • 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

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Yusuke Namekawa

  • Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan

Takeshi Yamazaki1

  • Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan and Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan

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Issue

Vol. 99, Iss. 11 — 1 June 2019

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