We propose an alternative way to describe the pairing formation and breaking via a quantum
anharmonic oscillator with a delta-function potential model. Unlike BCS theory, which describes the
pairing formation in the momentum space, this model works in the coordinate space and is able to
give a molecular view of pairing formation and breaking in the coordinate space. By exploring the
dynamical interplay between the intrinsic factor (dissociation energy) and external factor (pairing
strength) of this system additional information was gained, including the critical pairing strength
and critical scattering length, which might relate to the BCS–BEC crossover phenomena and halo state
formation. Although only the energetic aspect of pairing is described by this model, its simplicity
and pedagogical steps might help undergraduate students to understand the pairing problem in a
simple way.