Global Sensitivity Analysis of Collective Observables for Light Nuclei*

Collective motion plays an important role in the dynamics of atomic nuclei across the Segre chart, and ab initio studies show that these features arise from an emergent symmetry in nuclear Hamiltonians [1]. With the goal to constrain uncertainties on collective observables computed with chiral effective field theory interactions, we couple the framework of the symmetry-adapted no-core shell model with the method of global sensitivity analysis [2]. In this talk, we discuss a sensitivity analysis that determines the low-energy constants in the interaction that have the largest impact on collective observables. We generate a sufficiently large sample of unique sets of the low-energy constants, and diagonalize the associated Hamiltonians to obtain the low-lying wavefunctions for selected light nuclei. Specifically, we compute the quadrupole moments for 6Li and 12C. This opens the door for constructing nuclear potentials for precise calculations of collective nuclear observables. [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)