• Letter
  • Open Access

From the line shape of the X(3872) to its structure

Angelo Esposito, Luciano Maiani, Alessandro Pilloni, Antonio D. Polosa, and Verónica Riquer
Phys. Rev. D 105, L031503 – Published 14 February 2022
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Abstract
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  • INTRODUCTION
  • SCATTERING AMPLITUDE AND COMPOSITENESS
  • THE EFFECTIVE RANGE OF A MOLECULE
  • A NEW LOOK AT THE LHCB DATA
  • CONCLUSIONS
  • ACKNOWLEDGMENTS
    • References

    Abstract

    From a study of the line shape of the X(3872), the LHCb collaboration measures a sizeable negative effective range. This cannot be reconciled with a shallow DD¯* bound state hypothesis. Based on Weinberg’s compositeness criterion, together with a theorem by Smorodinsky, it follows that the X has to have a compact hidden charm structure interacting with unbound DD¯* pairs via short-distance color forces. This conclusion is strengthened by the general pattern recently emerging from exotic mesons.

    • Received 28 August 2021
    • Accepted 21 January 2022

    DOI:https://doi.org/10.1103/PhysRevD.105.L031503

    Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

    Published by the American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Quantum chromodynamicsQuark modelStrong interaction
    Particles & Fields

    Authors & Affiliations

    Angelo Esposito1,2, Luciano Maiani3,4, Alessandro Pilloni4,5,6, Antonio D. Polosa3,4, and Verónica Riquer3

    • 1Theoretical Particle Physics Laboratory (LPTP), Institute of Physics, EPFL, 1015 Lausanne, Switzerland
    • 2School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540, USA
    • 3Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 5, I-00185 Roma, Italy
    • 4INFN Sezione di Roma, P.le Aldo Moro 5, I-00185 Roma, Italy
    • 5Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università degli Studi di Messina, Viale Ferdinando Stagno d’Alcontres 31, I-98166 Messina, Italy
    • 6INFN Sezione di Catania, V. Santa Sofia 64, I-95123 Catania, Italy

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    Issue

    Vol. 105, Iss. 3 — 1 February 2022

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