Analyticity Constraints for Hadron Amplitudes: Going High to Heal Low Energy Issues

JPAC Collaboration; V. Mathieu; J. Nys; A. Pilloni; C. Fernández-Ramírez; A. Jackura; M. Mikhasenko; V. Pauk; A. P. Szczepaniak; G. Fox

arXiv · 1708.07779

Analyticity Constraints for Hadron Amplitudes: Going High to Heal Low Energy Issues

JPAC Collaboration·V. Mathieu·J. Nys·A. Pilloni·C. Fernández-Ramírez·A. Jackura·M. Mikhasenko·V. Pauk·A. P. Szczepaniak·G. Fox

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Abstract

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.

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JPAC Collaboration, V. Mathieu, J. Nys, A. Pilloni, C. Fernández-Ramírez, A. Jackura, M. Mikhasenko, V. Pauk, A. P. Szczepaniak, G. Fox. 2017-08-25. Analyticity Constraints for Hadron Amplitudes: Going High to Heal Low Energy Issues. https://arxiv.org/abs/1708.07779

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