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 Hamiltonian 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 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, whose relative positions and intensities are calculated.