Implementation of Local Chiral Interactions in the Hyperspherical Harmonics Formalism

Simone Salvatore Li Muli*, Sonia Bacca, Nir Barnea

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


With the goal of using chiral interactions at various orders to explore the properties of the few-body nuclear systems, we write the recently developed local chiral interactions as spherical irreducible tensors and implement them in the hyperspherical harmonics expansion method. We devote particular attention to three-body forces at next-to-next-to leading order, which play an important role in reproducing experimental data. We check our implementation by benchmarking the ground-state properties of 3H, 3He, and 4He against the available Monte Carlo calculations. We then confirm their order-by-order truncation error estimates and further investigate uncertainties in the charge radii obtained by using the precise muonic atom data for single-nucleon radii. Having local chiral Hamiltonians at various orders implemented in our hyperspherical harmonics suites of codes opens up the possibility to test such interactions on other light-nuclei properties, such as electromagnetic reactions.

Original languageAmerican English
Article number671869
JournalFrontiers in Physics
StatePublished - 24 May 2021

Bibliographical note

Publisher Copyright:
© Copyright © 2021 Li Muli, Bacca and Barnea.


  • ab-initio theory
  • chiral effective field theory
  • hyperspherical harmonics
  • light nuclei
  • nuclear interactions


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