We have introduced the concept ''dressed nucleus'' in order to describe the interaction of a nucleus (in a static magnetic field) with a radiation field having n photons of a certain mode. The idea is to consider the global system as one quantum system in the Schrodinger representation. The number of eigenvalues of the global system is (2I + 1)(2) with I the spin of the free nuclear state. Taking into account the form of the corresponding eigenvectors and the relevant selection rules, the total number of gamma-transitions for the nuclear M1 transition 3/2(-) --> 1/2(-) is 24. If a Mossbauer effect experiment is set up with a single line absorber, the source being an ensemble of ''dressed nuclei'', we would expect a spectrum showing 24 lines, the relative positions and intensities of which are calculated.