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arXiv · 2102.11113

Implementation of local chiral interactions in the hyperspherical harmonics formalism

Simone Salvatore Li Muli·Sonia Bacca·Nir Barnea
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Abstract

With the goal of using chiral interactions at various orders to explore 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 $^3$H, $^3$He and $^4$He 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.

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Simone Salvatore Li Muli, Sonia Bacca, Nir Barnea. 2021-02-22. Implementation of local chiral interactions in the hyperspherical harmonics formalism. https://arxiv.org/abs/2102.11113

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