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Abstract
Resonances are uniquely characterized by their complex pole locations and the corresponding residues. In practice, however, resonances are typically identified experimentally as structures in invariant mass distributions, with branching fractions of resonances determined as ratios of count rates. To make contact between these quantities it is necessary to connect line shapes and resonance parameters. In this work we propose such a connection and illustrate the formalism with detailed studies of the
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1 Forschungszentrum Jülich, Institute for Advanced Simulation, Jülich, Germany (GRID:grid.8385.6) (ISNI:0000 0001 2297 375X); Universität Bonn, Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Bonn, Germany (GRID:grid.10388.32) (ISNI:0000 0001 2240 3300)
2 Universität Bonn, Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Bonn, Germany (GRID:grid.10388.32) (ISNI:0000 0001 2240 3300)
3 CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, China (GRID:grid.486497.0) (ISNI:0000 0004 1803 484X); School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, China (GRID:grid.410726.6) (ISNI:0000 0004 1797 8419); Beihang University, Peng Huanwu Collaborative Center for Research and Education, Beijing, China (GRID:grid.64939.31) (ISNI:0000 0000 9999 1211)
4 Forschungszentrum Jülich, Institute for Advanced Simulation, Jülich, Germany (GRID:grid.8385.6) (ISNI:0000 0001 2297 375X)
5 University of Bern, Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Bern, Switzerland (GRID:grid.5734.5) (ISNI:0000 0001 0726 5157)