Giant monopole energies from a constrained relativistic mean-field approach

Abstract

Background: Average energies of nuclear collective modes may be efficiently and accurately computed using a non-relativistic 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 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 semi-magic) nuclei ranging from 16O to 208Pb. Conclusions: An efficient and accurate method is proposed for incorporating nuclear collective excitations into the calibration of future energy density functionals.

9 pages and 2 figures

References in corpus (15)

• Shapiro delay measurement of a two solar mass neutron star
• Neutron-Rich Nuclei in Heaven and Earth
• Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility
• Incompressibility of neutron-rich matter
• Constraining the nuclear equation of state at subsaturation densities
• Isoscalar giant resonances in the Sn nuclei and implications for the asymmetry term in the nuclear-matter incompressibility
• Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited
• The long journey from the giant-monopole resonance to the nuclear-matter incompressibility
• Why is Tin so soft?
• Neutron skins and neutron stars
• Giant Monopole Resonance in even-A Cd isotopes, the asymmetry term in nuclear incompressibility, and the "softness" of Sn and Cd nuclei
• Accurate calibration of relativistic mean-field models: correlating observables and providing meaningful theoretical uncertainties
• Validating relativistic models of nuclear structure against theoretical, experimental, and observational constraints
• The role of superfluidity in nuclear incompressibilities
• The breathing-mode giant monopole resonance and the surface compressibility in the relativistic mean-field theory

Cited by in corpus (8)

• Building relativistic mean field models for finite nuclei and neutron stars
• The many facets of the (non relativistic) Nuclear Equation of State
• Symmetry Energy Constraints from Giant Resonances: A Theoretical Overview
• Relativistic mean field plus exact pairing approach to open shell nuclei
• The Dirac oscillator: an alternative basis for nuclear structure calculations
• Emergence of low-energy monopole strength in the neutron-rich calcium isotopes
• Neutron stars and supernova explosions in the framework of Landau's theory
• Roles of Antinucleon Degrees of Freedom in the Relativistic Random Phase Approximation