Anti-analog giant dipole resonances and the neutron skin of nuclei

Abstract

We examine a method to determine the neutron-skin thickness of nuclei using data on the charge-exchange anti-analog giant dipole resonance (AGDR). Calculations performed using the relativistic proton-neutron quasiparticle random-phase approximation (RQRPA) reproduce the isotopic trend of the excitation energies of the AGDR, as well as that of the spin-flip giant dipole resonances (IVSGDR), in comparison to available data for the even-even isotopes 112-124Sn. It is shown that the excitation energies of the AGDR, obtained using a set of density-dependent effective interactions which span a range of the symmetry energy at saturation density, supplemented with the experimental values, provide a stringent constraint on the value of the neutron-skin thickness. For 124Sn, in particular, we determine the value DRpn=0.21(5) fm. The result of the present study shows that a measurement of the excitation energy of the AGDR in (p,n) reactions using rare-isotope beams in inverse kinematics, provides a valuable method for the determination of the neutron-skin thickness in exotic nuclei.

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Cited by in corpus (10)

• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Constraints on the Neutron Skin and the Symmetry Energy from the Anti-analog Giant Dipole Resonance in 208Pb
• Constraining nuclear symmetry energy with the charge radii of mirror-pair nuclei
• Constraining equation of state of nuclear matter by charge-changing cross section measurements of mirror nuclei
• Nuclear skin and the curvature of the symmetry energy
• Charge-exchange dipole excitations in neutron-rich nuclei: $-1\hslash {\omega }_0$, anti-analog pygmy, and anti-analog giant resonances
• Neutron density distribution and neutron skin thickness of ${}^{208}$Pb
• Modeling nuclear weak-interaction processes with relativistic energy density functionals
• Probing the neutron skin thickness in collective modes of excitation
• Isovector giant monopole and quadrupole resonances in a Skyrme energy density functional approach with axial symmetry