# Non-relativistic conformal symmetry in nuclear structure and relations with the unitarity limit

## TL;DR

This paper explores how non-relativistic conformal symmetry applied within the Interacting Boson Model can describe nuclear structure near the unitarity limit, linking conformal field theory concepts with nuclear physics.

## Contribution

It introduces the application of non-relativistic conformal symmetry to the Interacting Boson Model, connecting scale invariance with nuclear stationary states.

## Key findings

- Scale-invariant states derived from conformal symmetry model nuclear structures.
- Connections established between conformal field theory and nuclear physics.
- Discussion of BCS-BEC crossover and hydrodynamics in nuclear context.

## Abstract

The Interacting Boson Model of nuclear structure is introduced to the unitarity limit. Non relativistic conformal symmetry creates a scale invariant state from which the stationary states of atomic nuclei are obtained. A brief discussion of the nature of the conformal field theory is included along with the BCS-BEC crossover and hydrodynamic properties.