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Ab initio calculations of monopole sum rules: From finite nuclei to infinite nuclear matter

F. Bonaiti1,2,*,†, A. Porro3,4,*,‡, S. Bacca5,6, A. Schwenk3,4,7, and A. Tichai3,4,7

  • *These authors contributed equally to this work.
  • †Contact author: bonaiti@frib.msu.edu
  • ‡Contact author: andrea.porro@tu-darmstadt.de
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Phys. Rev. C 113, 024333 – Published 25 February, 2026

DOI: https://doi.org/10.1103/kfdd-79g7

Abstract

We compute moments of the isoscalar monopole response of N=Z closed-shell nuclei based on chiral nucleon-nucleon plus three-nucleon interactions. We employ the random-phase approximation (RPA) and two ab initio many-body approaches, the in-medium similarity renormalization group (IMSRG) and coupled-cluster theory (CC). In the IMSRG framework, the moments are obtained as ground-state expectation values, whereas in the CC approach, they are evaluated through excited-state calculations. We find good agreement between the IMSRG and CC results across all nuclei studied. RPA provides a reasonable approximation to the correlated methods if the interaction is soft. From the calculated moments, we extract average energies of the monopole response, compute finite-nucleus incompressibilities, and estimate the incompressibility of symmetric nuclear matter by a fit to a leptodermous expansion. Our extrapolated values are lower than those obtained in nuclear-matter calculations with the same interactions, but the values are consistent with phenomenological ranges.

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Phys. Rev. C 113, 024333– Published 25 February, 2026
  • Received 26 November 2025
  • Accepted 30 January 2026
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