An Effective Theory approach to $\bar{B}_s$ mesons involving $SU(3)$ heavy meson symmetry and constituent quark-model states

Abstract

The bottom partners of the D * s0 (2317) and D s1 (2460) have not been measured yet but the existence of these bottom-strange J P = 0 + and J P = 1 + states is motivated by Heavy Quark Flavor Symmetry and Heavy Quark Spin Symmetry. Here we show the predictions for such heavy quark partners using a unitarized effective approach involving SU(3) Chiral Heavy Meson Symmetry and incorporating explicit di-quark Fock components (Qq) to the theory in a Heavy Quark Spin and Flavour Symmetry consistent way. We take advantage of the energy levels spectrum for 0 + and 1 +B s mesons obtained in a recent lattice QCD simulation to constrain the coupling of the Qq components. By fitting the energy levels obtained with our model in finite volume to the lattice results we are able to make predictions for the exoticB s mesons. Our predictions are compatible with the lattice QCD results and previous Chiral Heavy Meson Effective theory calculations.