Giant Quadrupole Resonances in 208Pb, the nuclear symmetry energy and the neutron skin thickness

Abstract

Recent improvements in the experimental determination of properties of the Isovector Giant Quadrupole Resonance (IVGQR), as demonstrated in the A=208 mass region, may be instrumental for characterizing the isovector channel of the effective nuclear interaction. We analyze properties of the IVGQR in 208Pb, using both macroscopic and microscopic approaches. The microscopic method is based on families of non-relativistic and covariant Energy Density Functionals (EDF), characterized by a systematic variation of isoscalar and isovector properties of the corresponding nuclear matter equations of state. The macroscopic approach yields an explicit dependence of the nuclear symmetry energy at some subsaturation density, for instance S(ρ=0.1 fm^{-3}), or the neutron skin thickness Δr_{np} of a heavy nucleus, on the excitation energies of isoscalar and isovector GQRs. Using available data it is found that S(ρ=0.1 fm{}^{-3})=23.3 +/- 0.6 MeV. Results obtained with the microscopic framework confirm the correlation of the Δr_{np} to the isoscalar and isovector GQR energies, as predicted by the macroscopic model. By exploiting this correlation together with the experimental values for the isoscalar and isovector GQR energies, we estimate Δr_{np} = 0.14 +/- 0.03 fm for 208Pb, and the slope parameter of the symmetry energy: L = 37 +/- 18 MeV.

References in corpus (7)

• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Exotic modes of excitation in atomic nuclei far from stability
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• A new Skyrme interaction with improved spin-isospin properties
• Origin of the neutron skin thickness of 208Pb in nuclear mean-field models

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