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We investigate the order-by-order convergence behavior of many-bodyperturbation theory (MBPT) as a simple and efficient tool to approximate theground-state energy of closed-shell nuclei. To address the convergenceproperties directly, we explore perturbative corrections up to 30th order andhighlight the role of the partitioning for convergence. The use of a simpleHartree-Fock solution to construct the unperturbed basis leads to a convergentMBPT series for soft interactions, in contrast to, e.g., a harmonic oscillatorbasis. For larger model spaces and heavier nuclei, where a direct high-orderMBPT calculation in not feasible, we perform third-order calculation andcompare to advanced ab initio coupled-cluster calculations for the sameinteractions and model spaces. We demonstrate that third-order MBPT providesground-state energies for nuclei up into tin isotopic chain that are inexcellent agreement with the best available coupled-cluster results at afraction of the computational cost.

Hartree-Fock Many-Body Perturbation Theory for Nuclear Ground-States