Resonance form factors from finite-volume correlation functions with the external field method

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作者
Jonathan Lozano
Ulf-G. Meißner
Fernando Romero-López
Akaki Rusetsky
Gerrit Schierholz
机构
[1] Universität Bonn,Helmholtz
[2] Institute for Advanced Simulation and Institut für Kernphysik,Institut für Strahlen
[3] Forschungszentrum Jülich, und Kernphysik (Theorie) and Bethe Center for Theoretical Physics
[4] Tbilisi State University,Center for Theoretical Physics
[5] Massachusetts Institute of Technology,undefined
[6] Deutsches Elektronen-Synchrotron DESY,undefined
关键词
Hadronic Matrix Elements and Weak Decays; Lattice QCD;
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摘要
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.
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