• Open Access

Signature of a Doubly Charm Tetraquark Pole in DD* Scattering on the Lattice

M. Padmanath and S. Prelovsek
Phys. Rev. Lett. 129, 032002 – Published 12 July 2022
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Abstract

The doubly charm tetraquark with flavor ccu¯d¯ and isospin I=0 is investigated by calculating the DD* scattering amplitude with lattice QCD. The simulation is done on CLS ensembles with dynamical u/d, s quarks and mπ280MeV for two charm quark masses, one slightly larger and one slightly lower than the physical value. The scattering amplitudes for partial waves l=0, 1 are extracted near threshold via the Lüscher method by considering systems with total momenta PL/(2π)=0,1,2,2 on two spatial volumes. A virtual bound state pole in the DD* scattering amplitude with l=0 is found 9.97.1+3.6MeV below the DD* threshold for the charm quark mass closer to the physical value. This pole is likely related to the doubly charm tetraquark discovered by LHCb less than 1 MeV below the D0D*+ threshold. Future lattice simulations closer to the continuum limit and physical quark masses would be valuable to establish this connection systematically.

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  • Received 2 March 2022
  • Revised 19 April 2022
  • Accepted 24 June 2022

DOI:https://doi.org/10.1103/PhysRevLett.129.032002

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)

Particles & Fields

Authors & Affiliations

M. Padmanath1,2,* and S. Prelovsek3,4,†

  • 1Helmholtz Institut Mainz, Staudingerweg 18, 55128 Mainz, Germany
  • 2GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstr. 1, 64291 Darmstadt, Germany
  • 3Faculty of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana, Slovenia
  • 4Jozef Stefan Institute, 1000 Ljubljana, Slovenia

  • *pmadanag@uni-mainz.de, papppan@gmail.com
  • sasa.prelovsek@ijs.si

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Vol. 129, Iss. 3 — 15 July 2022

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