Published May 2022 | Version v1
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Resonance form factors from finite-volume correlation functions with the external field method

Creators

  • 1. Bonn University (Germany). Bethe Center for Theoretical Physics
  • 2. Bonn University (Germany). Helmholtz-Institut für Strahlen- und Kernphysik (Theorie)
  • 3. Tbilisi State University (Georgia)
  • 4. Forschungszentrum Jülich (Germany). Institute für Kernphysik
  • 5. Forschungszentrum Jülich (Germany). Institute for Advanced Simulation
  • 6. Massachusetts Institute of Technology, Cambridge, MA (United States). Center for Theoretical Physics
  • 7. Deutsches Elektronen-Synchrotron DESY, Hamburg (Germany)

Description

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.

Availability note (English)

Also available from: http://dx.doi.org/10.48550/arXiv.2205.11316

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Additional details

Identifiers

DOI
10.48550/arXiv.2205.11316;

Publishing Information

Imprint Pagination
41 p.
ISSN
0418-9833
Report number
DESY--22-080

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
54123571
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
CORRELATION FUNCTIONS; COUPLING CONSTANTS; ELEMENTARY PARTICLES; FORM FACTORS; RESONANCE
Descriptors DEC
DIMENSIONLESS NUMBERS; FUNCTIONS; PARTICLE PROPERTIES

Optional Information

Secondary number(s)
MIT-CPP--5433