We extend the pion-nucleus multiple-scattering framework to include detailed second-order rescattering dynamics for nuclei with nonzero isospin. To account for intermediate charge-exchange and nucleon spin-flip effects, we develop a scattering potential that depends on the one- and two-body densities of the target nucleus. We compute one-body densities from coupled-cluster theory and two-body densities within the Hartree-Fock approximation. To estimate theoretical uncertainties, we employ modern nuclear Hamiltonians derived from chiral effective field theory. While the sensitivity to nuclear structure details is mild, second-order corrections are found to be sizable and essential for accurately reproducing differential cross sections measured in ${\pi }^{\pm }\text{−}{}^{48}\mathrm{Ca}$ elastic scattering within the $\mathrm{\Delta }\left(1232\right)$-resonance region.

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• Cluster models
• Elastic scattering reactions
• Meson & hyperon induced nuclear reactions
• Models & methods for nuclear reactions
• Nuclear reactions
• 39 ≤ A ≤ 58
• Optical, coupled-channel & distorted wave models