Spin-Dipole Strengths and Neutron Skin Thickness of $${}^{{90}}$$Zr, $${}^{{132}}$$Sn, $${}^{{208}}$$Pb

Abstract

Abstract The strength distributions of charge exchange spin-dipole excitations are calculated in the continuum quasiparticle random-phase approximation based on the Fayans density functional with modified isovector part. An impact of the isovector parameter $$h_{2}^{-}$$ of the DF3-f functional on the strength functions of charge-exchange spin-dipole excitations ($$0^{-}$$, $$1^{-}$$, $$2^{-}$$) are studied for $${}^{208}$$Pb, $${}^{132}$$Sn and $${}^{90}$$Zr. The sum rules are calculated using both ground state radii and direct integration of the total SD strength distributions. A comparison with the experimental SD sum rule in $${}^{90}$$Zr gives one a possibility to check previously estimated $$h_{2}^{-}$$ values which described well the recent combined estimate for $$\Delta R_{np}$$ in $${}^{208}$$Pb and corresponding equation of state parameters – symmetry energy $$J_{0}=J(\rho_{0})$$ and a slope parameter $$L_{0}=L(\rho_{0})$$.