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Neutron skin thickness of 90Zr and symmetry energy constrained by charge exchange spin-dipole excitations
Authors:Shi-Hui Cheng  Jing Wen  Li-Gang Cao  Feng-Shou Zhang
Affiliation:1. The Key Laboratory of Beam Technology and Energy Material, College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China2. Institute of Radiation Technology, Beijing Academy of Science and Technology, Beijing 100875, China3. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China
Abstract:The charge exchange spin-dipole (SD) excitations of \begin{document}$ ^{90} $\end{document}Zr are studied using the Skyrme Hartee-Fock plus proton-neutron random phase approximation with SAMi-J interactions. The experimental value of the model-independent sum rule obtained from the SD strength distributions of \begin{document}$ ^{90} $\end{document}Zr(p, n)\begin{document}$ ^{90} $\end{document}Nb and \begin{document}$ ^{90} $\end{document}Zr(n, p)\begin{document}$ ^{90} $\end{document}Y is used to deduce the neutron skin thickness. The neutron skin thickness \begin{document}$ \Delta r_{np} $\end{document} of \begin{document}$ ^{90} $\end{document}Zr is extracted as \begin{document}$ 0.083\pm0.032 $\end{document} fm, which is similar to the results of other studies. Based on the correlation analysis of the neutron skin thickness \begin{document}$ \Delta r_{np} $\end{document} and the nuclear symmetry energy J as well as its slope parameter L, a constraint from the extracted \begin{document}$ \Delta r_{np} $\end{document} leads to the limitation of J to \begin{document}$ 29.2 \pm 2.6 $\end{document} MeV and L to \begin{document}$ 53.3 \pm 28.2 $\end{document} MeV.
Keywords:neutron skin  symmetry energy  charge exchange spin-dipole excitations  proton-neutron random phase approximation
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