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Isospin characters of nuclear excitations in $^{26}$Mg and $^{10}$Be areinvestigated via proton($p$) and alpha($\alpha$) inelastic scattering. Astructure model of antisymmetrized molecular dynamics (AMD) is applied tocalculate the ground and excited states of $^{26}$Mg and $^{10}$Be. Thecalculation describes the isoscalar feature of the ground-band$2^+_1$($K^\pi=0^+_1$) excitation and predicts the neutron dominance of theside-band $2^+_2$($K^\pi=2^+$) excitation in $^{26}$Mg and $^{10}$Be. The $p$and $\alpha$ inelastic scattering off $^{26}$Mg and $^{10}$Be is calculated bymicroscopic coupled-channel (MCC) calculations with a $g$-matrix foldingapproach by using the matter and transition densities of the target nucleicalculated with AMD. The calculation reasonably reproduces the observed$0^+_1$, $2^+_1$, and $2^+_2$ cross sections of $^{26}$Mg+$p$ scattering atincident energies $E_p=$24 and 40 MeV and of $^{26}$Mg+$\alpha$ scattering at$E_\alpha=$104 and 120 MeV. For $^{10}$Be+$p$ and $^{10}$Be+$\alpha$scattering, inelastic cross sections to the excited states in the $K^\pi=0^+_1$ground-, $K^\pi=2^+$ side-, $K^\pi=0^+_2$ cluster-, and $K^\pi=1^-$cluster-bands are investigated. The isospin characters of excitations areinvestigated via inelastic scattering processes by comparison of the productionrates in the $^{10}$Be+$p$, $^{10}$Be+$\alpha$, and $^{10}$C+$p$ reactions. Theresult predicts that the $2^+_2$ state is selectively produced by the$^{10}$Be+$p$ reaction because of the neutron dominance in the $2^+_2$excitation as in the case of the $^{26}$Mg+$p$ scattering to the $2^+_2$ state,whereas its production is significantly suppressed in the $^{10}$C+$p$reaction.

Neutron dominance in excited states of $^{26}$Mg and $^{10}$Be probed by proton and alpha inelastic scattering