Abstract
A relativistic $R$-matrix close-coupling method is developed and implemented based on effective many-body Hamiltonians for accurate representation of the target and collisional states in multielectron ions. The effective Hamiltonian in relativistic multireference many-body perturbation theory accurately accounts for short-range many-body interactions unaccounted for in the extant nonrelativistic and Breit-Pauli $R$-matrix methods. The method is successfully applied to the near-threshold electron impact excitation of the $3{s}^{2}$ $^{1}S\ensuremath{\rightarrow}3s3p$ $^{3}P$ transition in Mg-like argon $({\mathrm{Ar}}^{6+})$ ion where the observed disagreement between the experimental absolute total cross sections and those predicted by using the Breit-Pauli $R$-matrix method reveals an inadequacy of the $R$-matrix methods based on the configuration-interaction representation of the basis states.
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