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

Abstract

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.

arXiv comment7 pages, extended discussions, added references, version to appear in Eur. Phys. J. C

References in corpus (24)

• Hadronic molecules
• Multiquark Resonances
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Heavy-Quark QCD Exotica
• A New Expansion for Nucleon-Nucleon Interactions
• Exotics: Heavy Pentaquarks and Tetraquarks
• Nucleon-Nucleon Scattering from Effective Field Theory
• On heavy-light meson resonances and chiral symmetry
• Consequences of Heavy Quark Symmetries for Hadronic Molecules
• X(3872): Hadronic Molecules in Effective Field Theory
• Effective Lagrangian for Heavy and Light Mesons: Semileptonic Decays
• Chiral Lagrangian with Heavy Quark-Diquark Symmetry
• Chiral Perturbation Theory for $f_{D_S}/f_D$ and $B_{B_S}/B_B$
• Bound States and Power Counting in Effective Field Theories
• Heavy Quark Symmetry Predictions for Weakly Bound B-Meson Molecules
• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• Semileptonic $B_c$ Decay and Heavy Quark Spin Symmetry
• Hadronic Decays of the X(3872) to chi_{cJ} in Effective Field Theory
• Deriving the existence of $B{\bar{B}}^{\ast }$ bound states from the X(3872) and Heavy Quark Symmetry
• Heavy-quark spin symmetry partners of the $X(3872)$ revisited
• Light meson mass dependence of the positive parity heavy-strange mesons
• Remarks on the study of the X(3872) from Effective Field Theory with Pion-Exchange Interaction
• Precision lattice QCD computation of the $B^{\ast }B\pi$ coupling
• Semileptonic bc to cc Baryon Decay and Heavy Quark Spin Symmetry

Cited by in corpus (15)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• Signature of a doubly charm tetraquark pole in $D{D}^{\ast }$ scattering on the lattice
• Prediction of hidden charm strange molecular baryon states with heavy quark spin symmetry
• Strange molecular partners of the $Z_c(3900)$ and $Z_c(4020)$
• One pion exchange and the quantum numbers of the Pc(4440) and Pc(4457) pentaquarks
• Prediction of new $T_{cc}$ states of $D^{\ast }{D}^{\ast }$ and $D_s^{\ast }{D}^{\ast }$ molecular nature
• Towards the quark mass dependence of $T_{cc}^{+}$ from lattice QCD
• Spin partners $W_{bJ}$ from the line shapes of the $Z_b(10610)$ and $Z_b(10650)$
• Tetraquarks in large-$N_c$ QCD
• Doubly charm tetraquark channel with isospin $1$ from lattice QCD
• Are the XYZ states unconventional states or conventional states with unconventional properties?
• Hadronic molecules and multiquark states
• Exotic hadrons associated with $b$-quark