  In this work, we present novel analytical solutions for static and
spherically symmetric wormhole geometries threaded by an anisotropic
distribution of matter conformally coupled to a scalar ghost field. We explore
the main features of the theory, such as the dynamics of the scalar field and
matter throughout the wormhole, as well as the role played by the non-minimal
coupling. Furthermore, coupled ghosts in the presence of a scalar potential are
considered and traversability conditions are analysed within such geometrical
scheme. More specifically, we find analytical solutions that although the
energy density of the ghost is strictly negative, the energy density of matter
may attain positive values.
