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A coupled-channel analysis of the $^{18,20,22}$O$(p,p')$ data has beenperformed to determine the neutron transition strengths of 2$^+_1$ states inOxygen targets, using the microscopic optical potential and inelastic formfactor calculated in the folding model. A complex density- and \emph{isospin}dependent version of the CDM3Y6 interaction was constructed, based on theBrueckner-Hatree-Fock calculation of nuclear matter, for the folding modelinput. Given an accurate isovector density dependence of the CDM3Y6interaction, the isoscalar ($\delta_0$) and isovector ($\delta_1$) deformationlengths of 2$^+_1$ states in $^{18,20,22}$O have been extracted from thefolding model analysis of the $(p,p')$ data. A specific $N$-dependence of$\delta_0$ and $\delta_1$ has been established which can be linked to theneutron shell closure occurring at $N$ approaching 16. The strongest isovectordeformation was found for 2$^+_1$ state in $^{20}$O, with $\delta_1$ about 2.5times larger than $\delta_0$, which indicates a strong core polarization by thevalence neutrons in $^{20}$O. The ratios of the neutron/proton transitionmatrix elements ($M_n/M_p$) determined for 2$^+_1$ states in $^{18,20}$O havebeen compared to those deduced from the mirror symmetry, using the measured$B(E2)$ values of 2$^+_1$ states in the proton rich $^{18}$Ne and $^{20}$Mgnuclei, to discuss the isospin impurity in the $2^+_1$ excitation of the$A=18,T=1$ and $A=20,T=2$ isobars.

Neutron transition strengths of $2^+_1$ states in the neutron rich Oxygen isotopes determined from inelastic proton scattering