Abstract
Abstract In this paper, we give a definition of the Fermi function, or the so-called Woods-Saxon potential, a well-known potential in nuclear physics; then, we give a few of its applications as examples. Some important integrals, which involve this function, are computed discussing the integrability and conver- gence of these integrals. Following, we derive formulae that encounter the above-mentioned function to get nuclear and generalized moments; the radial Fourier transformation is also exposed. Some related applications are then given that use such important integrals; in particular, we give the computation in con- junction with the problem of getting the optical-model potential for heavy-ion interactions at intermediate energies. Finally, we conclude with important re- marks to do with the evolution of the subject.