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Shocks are ubiquitous in the interstellar and intergalactic media, where their chemical and radiative signatures reveal the physical conditions in which they arise. Detailed astrochemical models of shocks at all velocities are necessary to understand the physics of many environments including protostellar outflows, supernova remnants, and galactic outflows. We present an accurate treatment of the self-generated UV radiation in intermediate velocity, stationary, weakly magnetised, J-type, molecular shocks. Shock solutions computed with the Paris-Durham shock code are post-processed using a multi-level accelerated $Λ$-iteration radiative transfer algorithm to compute Ly$α$, Ly$β$, and 2-photon continuum emission. The subsequent impacts on the ionisation and dissociation of key atomic and molecular species as well as on the heating by the photoelectric effect take the wavelength dependent cross-sections and the fluid velocity profile into account. We analyse shock models with velocities $V=25-60$ km/s, propagating in dense ($n \geq 10^4$ ${\rm cm}^{-3}$), shielded gas. Self-absorption traps Ly$α$ photons in a small region in the shock, though a large fraction escapes into the line wings. We find a critical velocity $V\sim 30$ km/s above which shocks produce a Ly$α$ photon flux exceeding that of the standard ISRF. The escaping photons generate a warm slab (T~100 K) ahead of the shock as well as pre-ionise C and S. These shocks are traced by bright atomic fine structure (e.g. O and S) and metastable (e.g. O and C) lines, substantive molecular emission (e.g. H2, OH, and CO), enhanced column densities of several species (e.g. CH+ and HCO+), as well as a severe destruction of H2O. As much as 13-21% of the initial kinetic energy of the shock escapes in Ly$α$ and Ly$β$ photons if the dust opacity in the radiative precursor allows it.