Volume 122, Number 4, May 2018
|Number of page(s)||5|
|Section||The Physics of Elementary Particles and Fields|
|Published online||27 June 2018|
Analyticity constraints for hadron amplitudes: Going high to heal low-energy issues
1 Center for Exploration of Energy and Matter, Indiana University - Bloomington, IN 47403, USA
2 Physics Department, Indiana University - Bloomington, IN 47405, USA
3 Department of Physics and Astronomy, Ghent University - B-9000 Ghent, Belgium
4 Theory Center, Thomas Jefferson National Accelerator Facility - 12000 Jefferson Avenue, Newport News, VA 23606, USA
5 Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México - Ciudad de México 04510, Mexico
6 Universität Bonn, Helmholtz-Institut für Strahlen- und Kernphysik - D-53115 Bonn, Germany
7 School of Informatics and Computing, Indiana University - Bloomington, IN 47405, USA
Received: 30 April 2018
Accepted: 11 June 2018
Analyticity constitutes a rigid constraint on hadron scattering amplitudes. This property is used to relate models in different energy regimes. Using meson photoproduction as a benchmark, we show how to test contemporary low-energy models directly against high-energy data. This method pinpoints deficiencies of the models and treads a path to further improvement. The implementation of this technique enables one to produce more stable and reliable partial waves for future use in hadron spectroscopy and new physics searches.
PACS: 11.55.Jy – Regge formalism / 11.55.Fv – Dispersion relations / 14.20.Gk – Baryon resonances (
© EPLA, 2018
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