Electroweak production of hybrid mesons in a Flux-Tube simulation of Lattice QCD

We make the first calculation of the electroweak couplings of hybrid mesons to conventional mesons appropriate to photoproduction and to the decays of $B$ or $D$ mesons. $E1$ amplitudes are found to be large and may contribute in charge exchange $\gamma p\to n{H}^{+}$ allowing production of (amongst others) the charged $1^{-+}$ exotic hybrid off $a_2$ exchange. Axial hybrid meson photoproduction is predicted to be large courtesy of $\pi$ exchange, and its strange hybrid counterpart is predicted in $B\to \psi K_H(1^{+})$ with $b.r. \sim 10^{-4}$. Higher multipoles, and some implications for hybrid charmonium are briefly discussed.