  We improve the pNRQCD approach to annihilation processes of heavy quarkonium
and make first pNRQCD predictions for exclusive electromagnetic production of
heavy quarkonium. We consider strongly coupled quarkonia, i.e., quarkonia that
are not Coulombic bound states. Possible strongly coupled quarkonia include
excited charmonium and bottomonium states. For these, pNRQCD provides
expressions for the decay and exclusive electromagnetic production NRQCD matrix
elements that depend on the wavefunctions at the origin and few universal gluon
field correlators. We compute electromagnetic decay widths and exclusive
production cross sections, and inclusive decay widths into light hadrons for
$P$-wave quarkonia at relative order $v^2$ and leading order, respectively. We
also compute the decay widths of $2S$ and $3S$ bottomonium states into lepton
pairs and their ratios with the inclusive widths into light hadrons at relative
order $v^2$.
