From pole parameters to line shapes and branching ratios

Heuser, L. A.; Chanturia, G.; Guo, F. -K.; Hanhart, C.; Hoferichter, M.; Kubis, B.

doi:10.1140/epjc/s10052-024-12884-6

Title: From pole parameters to line shapes and branching ratios

Journal Article · 10 June 2024 · European Physical Journal. C, Particles and Fields (Online)

DOI: https://doi.org/10.1140/epjc/s10052-024-12884-6 · OSTI ID:2371763

Heuser, L. A.; Chanturia, G.; Guo, F. -K.; Hanhart, C.; Hoferichter, M.; Kubis, B.

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 $$$$\rho (770)$$$$ $ρ (770)$ and $$$$f_0(500)$$$$ $f_{0} (500)$ resonances. Based on the line shapes inferred from the resonance parameters along these lines, expressions for partial widths and branching ratios are derived and compared to other approaches in the literature.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-00ER41132

OSTI ID:: 2371763

Journal Information:: European Physical Journal. C, Particles and Fields (Online), Journal Name: European Physical Journal. C, Particles and Fields (Online) Journal Issue: 6 Vol. 84; ISSN 1434-6052

Publisher:: Springer Science + Business MediaCopyright Statement

Country of Publication:: Germany

Language:: English

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