Probing Charge-Exchange Symmetry within the Nuclear Shell Model

The new era of precision physics challenges nuclear physicists to study and model the structure of atomic nuclei with high fidelity and controlled uncertainties. This exciting opportunity in turn requires a deeper understanding of the strong nuclear force and its impacts on behaviors exhibited by nuclei. Nearly a century ago, E. Wigner proposed an idea that treats the nuclear force between protons and neutrons on the same footing, a theory that is commonly called Wigner's Supermultiplet Symmetry. Several experimental efforts and theoretical investigations have been made to confirm the existence of this symmetry at leading order of the nucleon-nucleon interaction. However, advantages of Wigner's symmetry have not been fully exploited in modeling few- and many-body nuclear systems. Thanks to recent advances in algebraic technologies and data structures, we have created a comprehensive model simply dubbed the Symmetry Adapted Model (SAM), underpinned by the encoding of spatial symmetry and Wigner's symmetry for representing nuclear configurations. In this talk, we present some early results using SAM, performed on a user-friendly interactive platform that our team proposes to maintain while welcoming its use by interested collaborations.