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 b...

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Main Authors: V. Baru, E. Epelbaum, J. Gegelia, C. Hanhart, U.-G. Meißner, A. V. Nefediev
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-6560-7
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author V. Baru
E. Epelbaum
J. Gegelia
C. Hanhart
U.-G. Meißner
A. V. Nefediev
author_facet V. Baru
E. Epelbaum
J. Gegelia
C. Hanhart
U.-G. Meißner
A. V. Nefediev
author_sort V. Baru
collection DOAJ
description 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.
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spelling doaj.art-1a6223768eb84b7bad27a0b77c04bb2d2022-12-22T01:32:31ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-01-017911710.1140/epjc/s10052-019-6560-7Remarks on the heavy-quark flavour symmetry for doubly heavy hadronic moleculesV. Baru0E. Epelbaum1J. Gegelia2C. Hanhart3U.-G. Meißner4A. V. Nefediev5Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität BonnInstitut für Theoretische Physik II, Ruhr-Universität BochumForschungszentrum Jülich, Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron PhysicsForschungszentrum Jülich, Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron PhysicsHelmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität BonnP.N. Lebedev Physical Institute of the Russian Academy of SciencesAbstract 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.http://link.springer.com/article/10.1140/epjc/s10052-019-6560-7
spellingShingle V. Baru
E. Epelbaum
J. Gegelia
C. Hanhart
U.-G. Meißner
A. V. Nefediev
Remarks on the heavy-quark flavour symmetry for doubly heavy hadronic molecules
European Physical Journal C: Particles and Fields
title Remarks on the heavy-quark flavour symmetry for doubly heavy hadronic molecules
title_full Remarks on the heavy-quark flavour symmetry for doubly heavy hadronic molecules
title_fullStr Remarks on the heavy-quark flavour symmetry for doubly heavy hadronic molecules
title_full_unstemmed Remarks on the heavy-quark flavour symmetry for doubly heavy hadronic molecules
title_short Remarks on the heavy-quark flavour symmetry for doubly heavy hadronic molecules
title_sort remarks on the heavy quark flavour symmetry for doubly heavy hadronic molecules
url http://link.springer.com/article/10.1140/epjc/s10052-019-6560-7
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AT ugmeißner remarksontheheavyquarkflavoursymmetryfordoublyheavyhadronicmolecules
AT avnefediev remarksontheheavyquarkflavoursymmetryfordoublyheavyhadronicmolecules