Charmed states and flavour symmetry breaking

¹ School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3FD, UK
² CSSM, Department of Physics, University of Adelaide, Adelaide SA 5005, Australia
³ RIKEN Advanced Institute for Computational Science, Kobe, Hyogo 650-0047, Japan
⁴ Institut für Theoretische Physik, Universität Leipzig, 04109 Leipzig, Germany
⁵ Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK
⁶ Deutsches Elektronen-Synchrotron DESY, 22603 Hamburg, Germany
⁷ Regionales Rechenzentrum, Universität Hamburg, 20146 Hamburg, Germany

^* Speaker, e-mail: rhorsley@ph.ed.ac.uk

Published online: 26 March 2018

Abstract

Extending the SU(3) flavour symmetry breaking expansion from up, down and strange sea quark masses to partially quenched valence quark masses allows an extrapolation to the charm quark mass. This approach leads to a determination of charmed quark hadron masses and decay constants. We describe our recent progress and give preliminary results in particular with regard to the recently discovered doubly charmed baryon (the ${\Xi }_{\mathrm{cc}}^{++}$) by the LHCb Collaboration.