Neutron skin thickness of 90 Zr and symmetry energy constrained by charge exchange spin-dipole excitations*

• Published in: Chinese Physics C
• Main Authors: Cheng, Shi-Hui, Wen, Jing, Cao, Li-Gang, Zhang, Feng-Shou
• Other Authors: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities
• Format: Article in Journal/Newspaper
• Language: unknown
• Published: IOP Publishing 2023
• Subjects: sami
• Online Access: http://dx.doi.org/10.1088/1674-1137/aca38e; https://iopscience.iop.org/article/10.1088/1674-1137/aca38e; https://iopscience.iop.org/article/10.1088/1674-1137/aca38e/pdf

Abstract The charge exchange spin-dipole (SD) excitations of <?CDATA $ ^{90} $?> 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 <?CDATA $ ^{90} $?> Zr( p , n ) <?CDATA $ ^{90} $?> Nb and <?CDATA $ ^{90} $?> Zr( n , p ) <?CDATA $ ^{90} $?> Y is used to deduce the neutron skin thickness. The neutron skin thickness <?CDATA $ \Delta r_{np} $?> of <?CDATA $ ^{90} $?> Zr is extracted as <?CDATA $ 0.083\pm0.032 $?> fm, which is similar to the results of other studies. Based on the correlation analysis of the neutron skin thickness <?CDATA $ \Delta r_{np} $?> and the nuclear symmetry energy J as well as its slope parameter L , a constraint from the extracted <?CDATA $ \Delta r_{np} $?> leads to the limitation of J to <?CDATA $ 29.2 \pm 2.6 $?> MeV and L to <?CDATA $ 53.3 \pm 28.2 $?> MeV.