Muonic molecules of light nuclei

We present a systematic study of the muonic molecules (p μ NZ), (d μ NZ), and (t μ NZ) where NZ are nuclei with charges Z=1,3,4. Our calculations are based on a dual expansion scheme where, in a first step, we employ expansions into surface functions which are then, in a second step, expanded into hyperspherical harmonics. To ensure the correct asymptotic behaviour of the eigenpotentials, we amend the second step by an additive expansion into channel functions. The eigenpotentials obtained show the expected attraction for the (d μ t) system. For Z=3,4, high-lying dips are found indicating resonance behaviour. At present, the radial equation is solved in extreme adiabatic approximation. First attempts are being made towards a solution in adiabatic approximation. (authors)