Remarks on the Heavy-Quark Flavour Symmetry for doubly heavy hadronic molecules

Understand

The possibility for a common effective field theory for hadronic molecules with different heavy-quark flavours is examined critically.

• It is argued that such a theory does not allow one to draw definite conclusions for doubly heavy molecules.
• In particular, it does not allow one to relate binding energies for the molecules in the c-quark and b-quark sectors with controlled uncertainties.
• Therefore, while this kind of reasoning does not preclude from employing heavy-quark spin symmetry for charmonium- and bottomonium-like states separately within a well established effective field theory framework, relations between different heavy-quark sectors can only be obtained using phenomenological approaches with uncontrolled uncertainties.