Resonance form factors from finite-volume correlation functions with the external field method
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Author(s)
Lozano, Jonathan
Meißner, Ulf-G.
Romero-López, Fernando
Rusetsky, Akaki
Schierholz, Gerrit
Date Issued
October 17, 2022
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2022 Oct 17;2022(10):106
Version
Final published version
Abstract
Abstract
A novel method for the extraction of form factors of unstable particles on the lattice is proposed. The approach is based on the study of two-particle scattering in a static, spatially periodic external field by using a generalization of the Lüscher method in the presence of such a field. It is shown that the resonance form factor is given by the derivative of the resonance pole position in the complex plane with respect to the coupling constant to the external field. Unlike the standard approach, this proposal does not suffer from problems caused by the presence of the triangle diagram.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP10(2022)106
