Nonrelativistic Lamb shift for muonic molecules

A recently developed formula R. Bukowski and B. Jeziorski, Phys. Rev. A46 (1992) 5437]. has been applied to estimate the soft-photon Lamb shift contribution to the energies of the muonic molecules pp, dd, tt, pd, pt and dt. The corresponding corrections to the dissociation energies for the excited P states of dd and dt have been found to be almost identical and equal to 0.048 meV. The magnitude of this stabilizing effect is too small to affect seriously the formation rates predictions.