Searching for the Origin of Symplectic Symmetry Within the Chiral Effective Potential

Nuclei have been known to exhibit remarkable features, such as rotational structure and enhanced deformation, that have been shown through first-principles structure calculations to be tied to almost perfect symplectic symmetry in nuclear dynamics [1]. We aim to understand the origins of these features by examining the underlying chiral potentials in the framework of the symmetry-adapted no-core shell model. As a first step, we compute the wavefunctions of light nuclei using a subset of the diagrams up to next-to-next-to-leading order, to gain insight into which parts of the chiral nucleon-nucleon forces respect symplectic symmetry, and which of them break it. This allows one to examine how collective modes in nuclei emerge from the chiral nucleon-nucleon forces, and provide complementary information to the recent global sensitivity analysis of the binding energy and charge radius of $^{\mathrm{16}}$O [2]. [1] T. Dytrych, K. D. Launey, J. P. Draayer, et al., Phys. Rev. Lett. 124, 042501 (2020) [2] A. Ekstr\"{o}m and G. Hagen, Phys. Rev. Lett. 123, 252501 (2019)