[Submitted on 30 Jun 2026]
High-order perturbative calculations of nuclear ground states: Automated evaluation of many-body diagrams
Zhen Li🇩🇪 · Alexander Tichai🇩🇪 · Achim Schwenk🇩🇪 · Nadezda A. Smirnova🇫🇷
We advance the many-body perturbation theory (MBPT) calculations of the ground-state energy and radius of closed-shell nuclei beyond third order. Using automated diagram generation and evaluation up to fifth order, we present ground-state properties of selected closed-shell nuclei up to Ni with two- and three-nucleon interactions derived from chiral effective field theory. A clear convergence trend is observed for the ground-state energy enabling calculations at improved accuracy. We further investigate in detail the decomposition of the fourth-order contributions. For the ground-state energy, the magnitude of the fourth-order contribution is typically less than half of the third order, and a typical cancellation among different classes of diagrams is observed. Finally, we perform a comprehensive comparison between MBPT and non-perturbative in-medium similarity renormalization group (IMSRG) calculations, with the goal to provide insight into many-body uncertainties associated with the IMSRG(2) truncation.
- Comments:
- 15 pages, 13 figures
- Subjects:
- Nuclear Theory (nucl-th)
- arXiv:
- 2607.00119 [pdf]