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

Yusuke Namekawa and Takeshi Yamazaki
Phys. Rev. D 98, 011501(R) – Published 16 July 2018

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=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.

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  • Received 29 December 2017

DOI:https://doi.org/10.1103/PhysRevD.98.011501

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)

  1. Research Areas
Particles & Fields

Authors & Affiliations

Yusuke Namekawa

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

Takeshi Yamazaki

  • Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan, Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan, and RIKEN Advanced Institute for Computational Science, Kobe, Hyogo 650-0047, Japan

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Issue

Vol. 98, Iss. 1 — 1 July 2018

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