Tetraquark resonances computed with static lattice QCD potentials and scattering theory

Pedro Bicudo; Marco Cardoso; Antje Peters; Martin Pflaumer; Marc Wagner

doi:10.1051/epjconf/201817505017

EPJ

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Proceedings

Open Access

EPJ Web of Conferences 175, 05017 (2018)
https://doi.org/10.1051/epjconf/201817505017

Tetraquark resonances computed with static lattice QCD potentials and scattering theory

Pedro Bicudo¹^*, Marco Cardoso¹, Antje Peters², Martin Pflaumer² and Marc Wagner²

¹ CFTP, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
² Goethe-Universität Frankfurt am Main, Institut für Theoretische Physik, Max-von-Laue-Straße 1, D-60438 Frankfurt am Main, Germany

^* Speaker, e-mail: bicudo@tecnico.ulisboa.pt

Published online: 26 March 2018

Abstract

We study tetraquark resonances with lattice QCD potentials computed for two static quarks and two dynamical quarks, the Born-Oppenheimer approximation and the emergent wave method of scattering theory. As a proof of concept we focus on systems with isospin I = 0, but consider different relative angular momenta l of the heavy b quarks. We compute the phase shifts and search for S and T matrix poles in the second Riemann sheet. We predict a new tetraquark resonance for l = 1, decaying into two B mesons, with quantum numbers I(J^P) = 0(1⁻), mass MeV and decay width MeV.

© The Authors, published by EDP Sciences, 2018

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).