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We discuss emulators from the ab initio symmetry-adapted no-core shell-modelframework for studying the formation of alpha clustering and collectiveproperties without effective charges. We present a new type of an emulator, onethat utilizes the eigenvector continuation technique but is based on the use ofsymplectic symmetry considerations. This is achieved by using physicallyrelevant degrees of freedom, namely, the symmetry-adapted basis, which exploitsthe almost perfect symplectic symmetry in nuclei. Specifically, we studyexcitation energies, point-proton root-mean-square radii, along with electricquadrupole moments and transitions for 6Li and 12C. We show that the set ofparameterizations of the chiral potential used to train the emulators has nosignificant effect on predictions of dominant nuclear features, such as shapeand the associated symplectic symmetry, along with cluster formation, butslightly varies details that affect collective quadrupole moments, asymptoticnormalization coefficients, and alpha partial widths up to a factor of two.This makes these types of emulators important for further constraining thenuclear force for high-precision nuclear structure and reaction observables.

Ab Initio Symmetry-Adapted Emulator for Studying Emergent Collectivity and Clustering in Nuclei