Nuclear ground states dressed with rf photons in Moessbauer-Zeeman 57Fe spectroscopy

We have applied the 'dressed' state concept, developed in quantum electronics, to the situation in which spin 1/2 ground-state nuclear levels are coupled by rf photons. In particular, we have studied Moessbauer spectroscopy when there is Zeeman splitting of the nuclear levels and a further interaction due to an applied rf-radiation field when the rf frequency is in the neighborhood of the ground-state splitting. The dressed-state approach treats the coupling of the ground nuclear Zeeman levels, due to a radio frequency field, by considering the total system made up of: nucleus, static magnetic field, and rf field as one global quantum system. The energy levels and corresponding eigenstates of the system are calculated as a function of the rf frequency and the magnitude of the rf magnetic flux density. Moessbauer spectra are calculated for the 57Fe case in which the source is subjected to both the static and radiation fields while the absorber nuclear levels are unsplit