Symmetry energy from the nuclear collective motion: constraints from dipole, quadrupole, monopole and spin-dipole resonances

Abstract

The experimental and theoretical studies of Giant Resonances, or more generally of the nuclear collective vibrations, are a well established domain in which sophisticated techniques have been introduced and firm conclusions reached after an effort of several decades. From it, information on the nuclear equation of state can be extracted, albeit not far from usual nuclear densities. In this contribution, which complements other contributions appearing in the current volume, we survey some of the constraints that have been extracted recently concerning the parameters of the nuclear symmetry energy. Isovector modes, in which neutrons and protons are in opposite phase, are a natural source of information and we illustrate the values of symmetry energy around saturation deduced from isovector dipole and isovector quadrupole states. The isotopic dependence of the isoscalar monopole energy has also been suggested to provide a connection to the symmetry energy: relevant theoretical arguments and experimental results are thoroughly discussed. Finally, we consider the case of the charge-exchange spin-dipole excitations in which the sum rule associated with the total strength gives in principle access to the neutron skin and thus, indirectly, to the symmetry energy.

Updated version, with small corrections based on comments/suggestions from the referee. 12 pages, 9 figures; submitted to EPJA "Special Issue on Symmetry Energy"

References in corpus (17)

• Neutron-Rich Nuclei in Heaven and Earth
• Exotic modes of excitation in atomic nuclei far from stability
• Constraints on the symmetry energy and on neutron skins from the pygmy resonances in 68Ni and 132Sn
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility
• Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• Electric Dipole Polarizability in ${}^{208}$Pb: insights from the Droplet Model
• Incompressibility of neutron-rich matter
• Giant Quadrupole Resonances in 208Pb, the nuclear symmetry energy and the neutron skin thickness
• A new Skyrme interaction with improved spin-isospin properties
• Isoscalar giant resonances in the Sn nuclei and implications for the asymmetry term in the nuclear-matter incompressibility
• Giant Monopole Resonance in even-A Cd isotopes, the asymmetry term in nuclear incompressibility, and the "softness" of Sn and Cd nuclei
• Microscopic linear response calculations based on the Skyrme functional plus the pairing contribution
• Neutron Skin Thickness of 90Zr Determined By Charge Exchange Reactions
• Breathing-mode measurements in Sn isotopes and isospin dependence of nuclear incompressibility
• Charge Exchange Spin-Dipole Excitations of 90Zr and 208Pb and Neutron Matter Equation of State

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