Hadronic decay of a scalar B meson from the lattice

TL;DR

This study uses lattice QCD to analyze hadronic decays of scalar B mesons, estimating decay widths and coupling constants, and providing insights into the mesons' internal structure.

Contribution

It presents the first lattice QCD calculation of B$(0^+)$ to B $ o$ $ ext{B} ext{π}$ and B$_s(0^+)$ to B K transitions using the static approximation.

Findings

Predicted B$(0^+)$ to B $ ext{π}$ decay width of about 160 MeV.

Estimated coupling constants for the transitions.

Evidence against the B$_s(0^+)$ being a molecular state.

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).