• Open Access

Form factors of two-hadron states from a covariant finite-volume formalism

Alessandro Baroni, Raúl A. Briceño, Maxwell T. Hansen, and Felipe G. Ortega-Gama
Phys. Rev. D 100, 034511 – Published 13 August 2019

Abstract

In this work we develop a Lorentz-covariant version of the previously derived formalism for relating finite-volume matrix elements to 2+J2 transition amplitudes. We also give various details relevant for the implementation of this formalism in a realistic numerical lattice QCD calculation. Particular focus is given to the role of single-particle form factors in disentangling finite-volume effects from the triangle diagram that arise when J couples to one of the two hadrons. This also leads to a new finite-volume function, denoted G, the numerical evaluation of which is described in detail. As an example we discuss the determination of the ππ+Jππ amplitude in the ρ channel, for which the single-pion form factor, Fπ(Q2), as well as the scattering phase, δππ, are required to remove all power-law finite-volume effects. The formalism presented here holds for local currents with arbitrary Lorentz structure, and we give specific examples of insertions with up to two Lorentz indices.

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  • Received 12 March 2019

DOI:https://doi.org/10.1103/PhysRevD.100.034511

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)

Nuclear PhysicsParticles & Fields

Authors & Affiliations

Alessandro Baroni1,*, Raúl A. Briceño2,3,†, Maxwell T. Hansen4,‡, and Felipe G. Ortega-Gama2,5,§

  • 1Department of Physics and Astronomy University of South Carolina, 712 Main Street, Columbia, South Carolina 29208, USA
  • 2Thomas Jefferson National Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA
  • 3Department of Physics, Old Dominion University, Norfolk, Virginia 23529, USA
  • 4Theoretical Physics Department, CERN, 1211 Geneva 23, Switzerland
  • 5Department of Physics, College of William and Mary, Williamsburg, Virginia 23187, USA

  • *abaro008@odu.edu
  • rbriceno@jlab.org
  • maxwell.hansen@cern.ch
  • §felortga@jlab.org

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Vol. 100, Iss. 3 — 1 August 2019

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