Hadronic decay of a scalar B meson from the lattice

Abstract

We explore the transitions B$(0^{+})$ to B $\pi$ and B${}_s(0^{+})$ to B K from lattice QCD with $N_f=2$ flavours of sea quark, using the static approximation for the heavy quark. We evaluate the effective coupling constants, predicting a B$(0^{+})$ to B $\pi$ width of around 160 MeV. Our result for the coupling strength adds to the evidence that the B${}_s(0^{+})$ meson is not predominantly a molecular state (BK).

Comments: 10 pages LATEX