Heavy Quark Symmetries: Molecular partners of the X(3872) and Z_b(10610)/Z_b′(10650)

¹ Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, Germany
² Instituto de Física Corpuscular (IFIC), Centro Mixto CSIC-Universidad de Valencia, Institutos de Investigación de Paterna, Aptd. 22085, 46071 Valencia, Spain
³ Institut de Physique Nucléaire, Université Paris-Sud, IN2P3/CNRS, 91406 Orsay Cedex, France

Published online: 9 June 2014

Abstract

In this work, we have made use of the identification of the X(3872) and Z_b(10610)/Z_b′(10650) as heavy meson-heavy antimeson molecules to establish some consequences derived from the symmetries that these heavy meson-heavy antimeson systems must have. We show the most general effective lagrangian that respects these symmetries only depends on four undetermined low energy constants (LECs), which will be fitted to reproduce the experimental data about the resonances we are identifying as molecular states. Then, we obtain a whole new set of states in the spectrum that could also be thought as heavy meson-heavy antimeson molecules. Finally, using another different symmetry: Heavy Antiquark-Diquark Symmetry, we can also establish a set of pentaquark-like states taking advantage of the previous LEC calculation.