Finite volume corrections to forward Compton scattering off the nucleon

Open Access

Finite volume corrections to forward Compton scattering off the nucleon

J. Lozano, A. Agadjanov, J. Gegelia, U.-G. Meißner, and A. Rusetsky

Phys. Rev. D 103, 034507 – Published 17 February 2021

Abstract

We calculate the spin-averaged amplitude for doubly virtual forward Compton scattering off nucleons in the framework of manifestly Lorentz-invariant baryon chiral perturbation theory at complete one-loop order $O (p^{4})$ . The calculations are carried out both in the infinite and in a finite volume. The obtained results allow for a detailed estimation of the finite-volume corrections to the amplitude which can be extracted on the lattice using the background field technique.

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Received 27 October 2020
Accepted 19 January 2021

DOI:https://doi.org/10.1103/PhysRevD.103.034507

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)

Lattice QCD Particle interactions Strong interaction

Nuclear Physics

Authors & Affiliations

J. Lozano^1,*, A. Agadjanov^2,†, J. Gegelia ^3,4,‡, U.-G. Meißner ^1,5,4,§, and A. Rusetsky ^1,4,∥

¹Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, Germany
²PRISMA+ Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany
³Ruhr-University Bochum, Faculty of Physics and Astronomy, Institute for Theoretical Physics II, D-44870 Bochum, Germany
⁴Tbilisi State University, 0186 Tbilisi, Georgia
⁵Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich, Germany

^*lozano@hiskp.uni-bonn.de
^†agadjanov@uni-mainz.de
^‡jambul.gegelia@ruhr-uni-bochum.de
^§meissner@hiskp.uni-bonn.de
^∥rusetsky@hiskp.uni-bonn.de

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Issue

Vol. 103, Iss. 3 — 1 February 2021

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