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  • Open Access

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

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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Phys. Rev. D 105, L031503 – Published 14 February, 2022

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

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.

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Phys. Rev. D 105, L031503– Published 14 February, 2022
  • Received 28 August 2021
  • Accepted 21 January 2022
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