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With a newly improved isospin- and momentum-dependent interaction and anisospin-dependent Boltzmann-Uehling-Uhlenbeck transport model, we haveinvestigated the effects of the slope parameter $L$ of the nuclear symmetryenergy and the isospin splitting of the nucleon effective mass$m_{n-p}^*=(m_n^*-m_p^*)/m$ on the centroid energy of the isovector giantdipole resonance and the electric dipole polarizability in $^{208}$Pb. With theisoscalar nucleon effective mass $m_s^*=0.7m$ constrained by the empiricaloptical potential, we obtain a constraint of $L=64.29\pm11.84 (\rm MeV)$ and$m_{n-p}^*= (-0.019 \pm 0.090)\delta$, with $\delta$ being the isospinasymmetry of nuclear medium. With the isoscalar nucleon effective mass$m_s^*=0.84m$ extracted from the excitation energy of the isoscalar giantquadruple resonance in $^{208}$Pb, we obtain a constraint of $L=53.85\pm10.29(\rm MeV)$ and $m_{n-p}^*= (0.216 \pm 0.114)\delta$.

physical review. c

Constraining simultaneously nuclear symmetry energy and neutron-proton  effective mass splitting with nucleus giant resonances from a dynamical  approach