Implementation of Local Chiral Interactions in the Hyperspherical Harmonics Formalism

Frontiers in Physics

Sonia Bacca¹  Simone Salvatore Li Muli¹  Nir Barnea³ 

[1] Helmholtz-Institut Mainz, Johannes Gutenberg Universität Mainz, Mainz, Germany;Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg Universität, Mainz, Germany;Racah Institute of Physics, The Hebrew University, Jerusalem, Israel;

关键词: nuclear interactions;    hyperspherical harmonics;    light nuclei;    ab-initio theory;    chiral effective field theory;   

DOI  :  10.3389/fphy.2021.671869

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown