  A scheme for treating the pairing of nucleons in terms of generators of
Quantum Group SU_{q}(2) is presented. The possible applications to nucleon
pairs in a single orbit, multishell case, pairing vibrations and
superconducting nuclei are discussed. The formalism for performing BCS
calculations with q-deformed nucleon pairs is constructed and the role played
by deformation parameter q analyzed in the context of nucleons in a single
orbit and for Sn Isotopes.
