BB interactions with static bottom quarks from lattice QCD

Pedro Bicudo, Krzysztof Cichy, Antje Peters, and Marc Wagner
Phys. Rev. D 93, 034501 – Published 4 February 2016

Abstract

The isospin, spin and parity dependent potential of a pair of B mesons is computed using Wilson twisted mass lattice QCD with two flavors of degenerate dynamical quarks. The B meson is addressed in the static-light approximation, i.e. the b quarks are infinitely heavy. From the results of the BB meson-meson potentials, a simple rule can be deduced stating which isospin, spin and parity combinations correspond to attractive and which to repulsive forces. We provide fits to the ground state potentials in the attractive channels and discuss the potentials in the repulsive and excited channels. The attractive channels are the most important since they can possibly lead to a bound four-quark state, i.e. a b¯b¯ud tetraquark. Using these attractive potentials in the Schrödinger equation, we find an indication for such a tetraquark state of two static bottom antiquarks and two light u/d quarks with mass extrapolated down to the physical value.

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  • Received 16 October 2015

DOI:https://doi.org/10.1103/PhysRevD.93.034501

© 2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Particles & Fields

Authors & Affiliations

Pedro Bicudo1,*, Krzysztof Cichy2,3,4,†, Antje Peters2,‡, and Marc Wagner2,4,§

  • 1Universidade de Lisboa, CFTP, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal
  • 2Goethe-Universität Frankfurt am Main, Institut für Theoretische Physik, Max-von-Laue-Straße 1, D-60438 Frankfurt am Main, Germany
  • 3Adam Mickiewicz University, Faculty of Physics, Umultowska 85, 61-614 Poznań, Poland
  • 4European Twisted Mass Collaboration

  • *bicudo@tecnico.ulisboa.pt
  • kcichy@th.physik-uni-frankfurt.de
  • peters@th.physik-uni-frankfurt.de
  • §mwagner@th.physik-uni-frankfurt.de

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Issue

Vol. 93, Iss. 3 — 1 February 2016

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