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Kinematical cusp and resonance interpretations of the X(2900)

2020/08/31 by Timothy J. Burns, T. J. Burns, Eric S. Swanson +1
Mathematics · Physics and Astronomy · #Amplitude #Bar (unit) #Cusp (singularity) #Dalitz plot #Diagram #Geometry #Gravitational singularity #Hadron #High-Energy Particle Collisions Research #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Production (economics) #Projection (relational algebra) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Resonance (particle physics) #State (computer science) #hep-ph

paper · pdf · doi:10.1016/j.physletb.2020.136057

10 pages, 3 figures. Version to appear in Physics Letters B

openalex publication_date 2020/12/29 · arxiv created 2021/01/01 · arxiv updated 2021/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We examine whether the LHCb vector udc¯s¯ state X(2900) can be interpreted as a kinematical cusp effect arising from D¯⁎K⁎ and D¯1K(⁎) interactions. The production amplitude is modelled as a triangle diagram with hadronic final state interactions. A satisfactory fit to the Dalitz plot projection is obtained that leverages the singularities of the production diagram without the need for D¯K resonances. A somewhat better fit is obtained if the final state interactions are strong enough to generate resonances, although the evidence in favour of this scenario is not conclusive.

Citations