• Open Access

Three-particle finite-volume formalism for π+π+K+ and related systems

Tyler D. Blanton and Stephen R. Sharpe
Phys. Rev. D 104, 034509 – Published 30 August 2021

Abstract

We consider three-particle systems consisting of two identical particles and a third that is different, with all being spinless. Examples include π+π+K+ and K+K+π+. We derive the formalism necessary to extract two- and three-particle infinite-volume scattering amplitudes from the spectrum of such systems in finite volume. We use a relativistic formalism based on an all-orders diagrammatic analysis in generic effective field theory, adopting the methodology used recently to study the case of three nondegenerate particles. We present both a direct derivation, and also a cross-check based on an appropriate limit and projection of the fully nondegenerate formalism. We also work out the threshold expansions for the three-particle K matrix that will be needed in practical applications, both for systems with two identical particles plus a third, and also for the fully nondegenerate theory.

  • Received 1 June 2021
  • Accepted 3 August 2021

DOI:https://doi.org/10.1103/PhysRevD.104.034509

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 & FieldsNuclear Physics

Authors & Affiliations

Tyler D. Blanton* and Stephen R. Sharpe

  • Physics Department, University of Washington, Seattle, Washington, D.C. 98195-1560, USA

  • *blanton1@uw.edu
  • srsharpe@uw.edu

Article Text

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Issue

Vol. 104, Iss. 3 — 1 August 2021

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