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Background: Average energies of nuclear collective modes may be efficientlyand accurately computed using a non-relativistic constrained approach withoutreliance on a random phase approximation (RPA). Purpose: To extend theconstrained approach to the relativistic domain and to establish its impact onthe calibration of energy density functionals. Methods: Relativistic RPAcalculations are compared against the predictions of the correspondingconstrained approach using two accurately calibrated energy densityfunctionals. Results: We find excellent agreement-at the 2% level orbetter-between the predictions of the relativistic RPA and the correspondingconstrained approach for magic (or semi-magic) nuclei ranging from 16O to208Pb. Conclusions: An efficient and accurate method is proposed forincorporating nuclear collective excitations into the calibration of futureenergy density functionals.

Giant monopole energies from a constrained relativistic mean-field approach