Dalitz-plot decomposition for the e+e−→J/ψππ(KK¯) and e+e− → hc π π processes

We present an analysis of the e+e−→γ⁎→J/ψππ(KK¯) and e+e−→γ⁎→hcππ processes employing the recently proposed Dalitz-plot decomposition approach, which is based on the helicity formalism for three-body decays. For the above reactions, we validate the factorization of the overall rotation for all decay...

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Bibliographic Details
Main Authors: Viktoriia Ermolina, Igor Danilkin, Marc Vanderhaeghen
Format: Article
Language:English
Published: Elsevier 2025-05-01
Series:Physics Letters B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325002114
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Summary:We present an analysis of the e+e−→γ⁎→J/ψππ(KK¯) and e+e−→γ⁎→hcππ processes employing the recently proposed Dalitz-plot decomposition approach, which is based on the helicity formalism for three-body decays. For the above reactions, we validate the factorization of the overall rotation for all decay chains and spin alignments, along with the crossing symmetry between final states, using a Lagrangian-based toy model. For the model-dependent factors that describe the subchannel dynamics, we employ the dispersive treatment of the ππ(KK¯) final state interaction, which accurately reproduces pole positions and couplings of the f0(500) and f0(980) resonances. The constructed amplitudes serve as an essential framework to further constrain the properties of the charged exotic states Zc(3900) and Zc(4020), produced in these reactions.
ISSN:0370-2693