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Radii of light nuclei from the Jacobi no-core shell model

Xiang-Xiang Sun1,*, Hoai Le1,†, Ulf-G. Meißner2,1,3,4,‡, and Andreas Nogga1,4,§

  • 1Institute for Advanced Simulation (IAS-4), Forschungszentrum Jülich, D-52425 Jülich, Germany
  • 2Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany
  • 3Peng Huanwu Collaborative Center for Research and Education, International Institute for Interdisciplinary and Frontiers, Beihang University, Beijing 100191, China
  • 4CASA, Forschungszentrum Jülich, 52425 Juülich, Germany

  • *Contact author: x.sun@fz-juelich.de
  • †Contact author: h.le@fz-juelich.de
  • ‡Contact author: meissner@hiskp.uni-bonn.de
  • §Contact author: a.nogga@fz-juelich.de
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Phys. Rev. C 112, 024317 – Published 12 August, 2025

DOI: https://doi.org/10.1103/j4ky-tn1j

Abstract

Accurately determining the size of the atomic nucleus with realistic nuclear forces is a long-outstanding issue of nuclear physics. The no-core shell model (NCSM), one of the powerful ab initio methods for nuclear structure, can achieve accurate energies of light nuclei. The extraction of converged radii is more difficult. In this work, we present a novel method to effectively extract the radius of light nuclei by restoring the long-range behavior of densities from NCSM calculations. The correct large distance asymptotics of two-body relative densities are deduced based on the NCSM densities in limited basis size. The resulting radii using the corrected densities show a nice convergence. The root-mean-square matter and charge radii of He4,6,8 and Li6,7,8 can be accurately obtained based on Jacobi-NCSM calculations with the high-precision chiral two-nucleon and three-nucleon forces combined with this new method. Our method can be straightforwardly extended to other ab initio calculations, potentially providing a better description of nuclear sizes with realistic nuclear forces.

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Phys. Rev. C 112, 024317– Published 12 August, 2025
  • Received 10 February 2025
  • Accepted 18 July 2025
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