  We consider a specific form of explicitly correlated Gaussians -- with tensor
pre-factors -- which appear naturally when dealing with certain few-body
systems in nuclear and particle physics. We derive analytic matrix elements
with these Gaussians -- overlap, kinetic energy, and Coulomb potential -- to be
used in variational calculations of those systems. We also perform a quick test
of the derived formulae by applying them to p- and d-waves of the hydrogen
atom.
