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The recent pioneering campaigns conducted by the Lead Radius Experiment(PREX) and the Calcium Radius Experiment (CREX) collaborations have uncoveredmajor deficiencies in the theoretical description of some fundamentalproperties of atomic nuclei. Following a recent refinement to the isovectorsector of covariant energy density functionals [1], we present here additionalimprovements to the functional by including both tensor couplings and anisoscalar-isovector mixing term in the scalar sector. Motivated by the distinctsurface properties of calcium and lead, we expect that the tensor terms thatgenerate derivative couplings will help break the linear correlation betweenthe neutron skin thickness of these two nuclei. Moreover, the addition of thesenew terms mitigates most of the problems identified in Ref.[1] in describingthe properties of both finite nuclei and neutron stars. While significantprogress has been made in reconciling the PREX-CREX results withoutcompromising other observables, the final resolution awaits the completion of aproper calibration for this new class of functionals. We expect that powerfulreduced basis methods used recently to create efficient emulators will beessential to accomplish this task.

Impact of tensor interactions and scalar mixing on covariant energy density functionals