6533b833fe1ef96bd129c3e2
RESEARCH PRODUCT
Implementation of local chiral interactions in the hyperspherical harmonics formalism
Simone Salvatore Li MuliSimone Salvatore Li MuliSonia BaccaSonia BaccaNir Barneasubject
Chiral perturbation theoryNuclear TheoryTruncation error (numerical integration)Formalism (philosophy)Materials Science (miscellaneous)QC1-999Monte Carlo methodBiophysicsGeneral Physics and AstronomyFOS: Physical sciences01 natural scienceschiral effective field theoryNuclear Theory (nucl-th)Theoretical physics0103 physical sciencesPhysical and Theoretical Chemistry010306 general physicsMathematical PhysicsExotic atomPhysics010308 nuclear & particles physicsPhysicsOrder (ring theory)light nucleiCharge (physics)Harmonicshyperspherical harmonicsnuclear interactionsab-initio theorydescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-02-22 |