Abstract
We study the scattering of open-beauty mesons and Goldstone bosons as predicted by the chiral SU(3) Lagrangian. The impact of subleading order chiral interactions to systems with $J^P= 0^+$ and $J^P=1^+$ quantum numbers is worked out. We estimate the relevant low-energy coefficients from the open-charm sector, for which their values have been determined previously from sets of QCD lattice data. The leading order heavy-quark symmetry breaking effects are estimated by matching the $B$-meson ground-state chiral mass formula to the mass formula from the heavy-quark effective theory. We make refined predictions for the flavor anti-triplet and sextet resonances that are generated dynamically by coupled-channel interactions.
Highlights
How to understand the spectrum of QCD is the longlasting challenge in contemporary theoretical physics
The leadingorder heavy-quark symmetry-breaking effects are estimated by matching the B-meson ground-state chiral mass formula to the mass formula from the heavy-quark effective theory
The chiral Lagrangian predicts the formation of JP 1⁄4 0þ and JP 1⁄4 1þ resonance state as a consequence of coupledchannel final-state interactions of the Goldstone bosons with the ground-state heavy mesons with JP 1⁄4 0− and JP 1⁄4 1− quantum numbers
Summary
How to understand the spectrum of QCD is the longlasting challenge in contemporary theoretical physics. We will study the chiral symmetry-breaking effects in the open-beauty systems, working out systematically heavy-quark spin and flavor symmetry-breaking effects. Such a projection requests a matching of ChPT to HQET. The heavy-quark mass dependence of those LEC is determined by matching the chiral formula of the B-meson masses to the HQET result Based on such LEC, we will derive the pole positions of resonance states in the complex plane as generated by coupled-channel scattering from the chiral Lagrangian. We will comment on the disputed isospin and strangeness one Xð5568Þ state [16,17,18,19,20,21,22,23,24,25,26,27,28]
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