In practical chemical systems, protons are relatively localized compared to electrons, and their spatial overlap is negligible. Therefore, each proton can be treated as a distinguishable particle with a localized orbital. The proton-proton exchange and correlation energies are negligible and can be approximated using the diagonal Hartree-Fock exchange terms to eliminate self-interaction errors. Based on the localized nature of protons in molecular systems, we impose a constraint on the expectation position for each proton in the CNEO framework, 23