I investigate the effect of Coulomb core polarization in ${}^{208}\mathrm{Pb}$, highlighting its impact on uncertainties in neutron distribution measurements due to the discrepancy between neutron excess and neutron skin regions at the surface. This effect is validated using the ${(}^3\text{He},t)$ isobaric analog state (IAS) reaction at 420 MeV. My findings reveal that the Coulomb boundary radius, where core polarization becomes negligible, is critical for accurately probing the neutron skin region in the target nucleus. Consequently, I propose extending the ${}^{208}\mathrm{Pb}{(}^3\text{He},t)\mathrm{IAS}$ reaction experiment conducted by Zegers et al. [Phys. Rev. Lett. 99, 202501 (2007)] to measure cross sections up to $3^{\circ }$ angles to more precisely determine the neutron skin thickness in ${}^{208}\mathrm{Pb}$ from theoretical reaction analysis. Additionally, I observe that, under the assumption of a large neutron skin in ${}^{208}\mathrm{Pb}$, as suggested by the PREX-II result, the core-polarization effect introduces impurity into the neutron skin region.

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• Charge-exchange reactions
• H & He induced nuclear reactions
• Neutron skin thickness
• Nuclear reactions
• Nuclear structure & decays