Global Sensitivity Analysis of Collective Observables for 6Li and 12C

The importance of collectivity in nuclear dynamics is well-established from first-principles investigations [1, 2]. We combine the symmetry-adapted no-core shell model with global sensitivity methods to explore how observables in light nuclei respond to changes in the chiral effective NN interaction [3]. By generating a statistically significant set of unique parametrizations of this interaction and solving for the wave functions, we can determine which low-energy constants are the most important to accurately calculate and predict nuclear collective properties. In this talk, I will discuss such a sensitivity analysis performed on the excitation energies, point-proton RMS radii, and quadrupole moments for low-lying states in ⁶Li and ¹²C. We find that a small subset of the parameters has a dominant impact on these observables, suggesting a pathway to optimizing chiral potentials to constrain uncertainties in ab initio calculations.

[1] T. Dytrych, K. D. Launey, J. P. Draayer, et al., Phys. Rev. Lett. 124, 042501 (2020)

[2] Kristina D. Launey, Alexis Mercenne, and Tomas Dytrych, Ann. Rev. Nucl. Part. Sci. 71, 253 (2022)

[3] A. Ekström and G. Hagen, Phys. Rev. Lett. 123, 252501 (2019)