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Analysis of the ψ ( 3770 ) resonance in line with unitarity and analyticity constraints

Hanhart, Christoph; Kürten, Stephan; Reboud, Méril; van Dyk, Danny

Analysis of the ψ ( 3770 ) resonance in line with unitarity and analyticity constraints Thumbnail


Authors

Christoph Hanhart

Stephan Kürten

Méril Reboud



Abstract

We study the inclusive and exclusive cross sections of e+e-→hadrons for center-of-mass energies between 3.70 and 3.83GeV to infer the mass, width, and couplings of the ψ(3770) resonance. By using a coupled-channel K-matrix approach, we setup our analysis to respect unitarity and the analyticity properties of the underlying scattering amplitudes. We fit several models to the full dataset and identify our nominal results through a statistical model comparison. We find that, accounting for the interplay between the ψ(2S) and the ψ(3770), no further pole is required to describe the ψ(3770) line shape. In particular we derive from the pole location Mψ(3770)=3778.8±0.3MeV and Γψ(3770)=25.0±0.5MeV. Moreover, we find the decay to D+D- and D0D¯0 to be consistent with isospin symmetry and derive an upper bound on the branching ratio B(ψ(3770)→non-DD¯)<6% at 90% probability.

Citation

Hanhart, C., Kürten, S., Reboud, M., & van Dyk, D. (2024). Analysis of the ψ ( 3770 ) resonance in line with unitarity and analyticity constraints. The European Physical Journal C, 84(5), Article 483. https://doi.org/10.1140/epjc/s10052-024-12785-8

Journal Article Type Article
Acceptance Date Apr 8, 2024
Online Publication Date May 9, 2024
Publication Date May 9, 2024
Deposit Date May 14, 2024
Publicly Available Date May 14, 2024
Journal The European Physical Journal C
Print ISSN 1434-6044
Publisher SpringerOpen
Peer Reviewed Peer Reviewed
Volume 84
Issue 5
Article Number 483
DOI https://doi.org/10.1140/epjc/s10052-024-12785-8
Public URL https://durham-repository.worktribe.com/output/2437543

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