Hidden charm and bottom molecular states

TL;DR

This paper uses heavy quark symmetries and effective field theory to predict new heavy meson-antimeson molecular states and analyze the structure and decay modes of the X(3872) resonance.

Contribution

It introduces a contact-range effective field theory framework to predict new heavy hadronic molecules based on known states and heavy quark symmetries, including novel isovector partners.

Findings

Predicted isovector charmonium partners of Z_b states.

Suggested heavy meson-doubly-heavy baryon molecules.

Analyzed the decay X(3872) → D^0 rac12;ar D^0 rac12;rac12;"],

Abstract

We investigate heavy quark symmetries for heavy light meson-antimeson systems in a contact-range effective field theory. In the SU(3) light flavor limit, the leading order Lagrangian respecting heavy quark spin symmetry contains four independent counter-terms. Neglecting $1/m_Q$ corrections, three of these low energy constants can be determ1ined by theorizing a molecular description of the $X(3872)$ and $Z_b(10610)$ states. Thus, we can predict new hadronic molecules, in particular the isovector charmonium partners of the $Z_b(10610)$ and the $Z_b(10650)$ states. We also discuss hadron molecules composed of a heavy meson and a doubly-heavy baryon, which would be related to the heavy meson-antimeson molecules thanks to the heavy antiquark-diquark symmetry. Finally, we also study the $X(3872) \to D^0\bar D^0\pi^0$ decay, which is not only sensitive to the short distance part of the $X(3872)$ molecular wave function, as the $J/\psi\pi\pi$ and $J/\psi3\pi$ $X(3872)$ decay modes are, but it is also affected by the long-distance structure of the resonance. Furthermore, this decay might provide some information on the interaction between the $D\bar D$ charm mesons.