Conformal symmetry in nuclear structure

The purpose of this paper is to introduce the unitary limit as applied in systems cold atoms into collective states heavy and even-even nuclei identify a related physical example. This accompanied by determination observables conformal symmetry nuclear structure. A Hamiltonian defined that governs scattering process an incident pair two slow neutrons onto heavy, target nucleus framework Interacting Boson Model pair-collective state interaction introduced along with effective range expansion for length. solutions coupled channels equations provide couples intermediate A+2n compound nucleus. manifests itself when correspond resonances positions which coincide energies IBM closed channels. position width each resonance measurable via fluctuation cross section tunes Conformal represented tower equally spaced emerges at from two-boson excitations on channel. These are regularity pattern fluctuations section, terms regular widths. manifestation indicates laboratory examination BCS-BEC crossover, underlying critical point algebras infinite number generators.