The fundamental physical arguments for the description of a resonance line arising from quantum states transitions induced by electromagnetic radiations are often hardly understandable by beginning students in natural sciences or non-specialists in spectroscopy. Textbooks usually tend to treat the problem on the basis of deeper theoretical formalisms which are seldom accessible by all those who are not sufficiently familiar with the required advanced physical and mathematical backgrounds in quantum mechanics. More direct and simpler algebraic developments are presented in this article, intending to be a didactic alternative and to serve as a reference source for a broader range of readers, to some extent requiring less background in more advanced physics. The central point is to show that the resonance linewidth of a gamma-ray resonance is conceptually twice the natural linewidth for the related energy line of the nuclear excited state. The algebraic arguments are used to offer a direct deductive pathway, which is purposely more promptly achievable than those currently found in the scientific literature. This study of case was conceived taking into account the physical principles of nuclear Mössbauer spectroscopy.
resonance; lorentzian; gamma absorption
