Abstract
Charge exchange spin-dipole (SD) excitations in $^{90}\mathrm{Zr}$ and $^{208}\mathrm{Pb}$ are studied by using a Skyrme Hartree-Fock + random phase approximation. The calculated spin-dipole strength distributions are compared with experimental data obtained by $^{90}\mathrm{Zr}$(p,n)$^{90}\mathrm{Nb}$ and $^{90}\mathrm{Zr}$(n,p)$^{90}\mathrm{Nb}$ reactions. The model-independent SD sum rule values of various Skyrme interactions are studied in comparison with the experimental values to determine the neutron skin thickness of $^{90}\mathrm{Zr}$. The pressure of the neutron matter equation of state and the nuclear matter symmetry energy are discussed in terms of the neutron skin thickness and peak energies of SD strength distributions.
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