  We present new calculations of unified line profiles for hydrogen perturbed
by collisions with protons. We report on new calculations of the potential
energies and dipole moments which allow the evaluation of profiles for the
lines of the Lyman series up to Lyman$\delta$ and the Balmer series up to
Balmer10. Unified calculations only existed for the lines Lyman$\alpha$ to
Lyman$\gamma$ and Balmer$\alpha$ including the H$_2^+$ quasi-molecule. These
data are available as online material accompanying this paper and should be
included in atmosphere models, in place of the Stark effect of protons, since
the quasi-molecular contributions cause not only satellites, but large
asymmetries that are unaccounted for in models that assume Stark broadening of
electrons and protons are equal.
