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Giant monopole energies from a constrained relativistic mean-field approach

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Background:Average energies of nuclear collective modes may be efficiently and accurately computed using a nonrelativistic constrained approach without reliance on a random phase approximation (RPA). Purpose: To extend the constrained approach to the relativistic domain and to establish its impact on the calibration of energy density functionals. Methods: Relativistic RPA calculations of the giant monopole resonance (GMR) are compared against the predictions of the corresponding constrained approach using two accurately calibrated energy density functionals. Results: We find excellent agreement at the 2% level or better between the predictions of the relativistic RPA and the corresponding constrained approach for magic (or semimagic) nuclei ranging from 16 O to 208 Pb. Conclusions: An efficient and accurate method is proposed for incorporating nuclear collective excitations into the calibration of future energy density functionals.

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CHEN, Wei-Chia, PIEKAREWICZ, J. and CENTELLES AIXALÀ, Mario. Giant monopole energies from a constrained relativistic mean-field approach. Physical Review C. 2013. Vol. 88, num. 2, pags. 024319-1-024319-8. ISSN 0556-2813. [consulted: 25 of July of 2026]. Available at: https://hdl.handle.net/2445/47825

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