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arXiv · 1712.10246

Pion-less effective field theory for atomic nuclei and lattice nuclei

A. Bansal·S. Binder·A. Ekström·G. Hagen·G. R. Jansen·T. Papenbrock
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Abstract

We compute the medium-mass nuclei $^{16}$O and $^{40}$Ca using pionless effective field theory (EFT) at next-to-leading order (NLO). The low-energy coefficients of the EFT Hamiltonian are adjusted to experimantal data for nuclei with mass numbers $A=2$ and $3$, or alternatively to results from lattice quantum chromodynamics (QCD) at an unphysical pion mass of 806 MeV. The EFT is implemented through a discrete variable representation in the harmonic oscillator basis. This approach ensures rapid convergence with respect to the size of the model space and facilitates the computation of medium-mass nuclei. At NLO the nuclei $^{16}$O and $^{40}$Ca are bound with respect to decay into alpha particles. Binding energies per nucleon are 9-10 MeV and 30-40 MeV at pion masses of 140 MeV and 806 MeV, respectively.

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A. Bansal, S. Binder, A. Ekström, G. Hagen, G. R. Jansen, T. Papenbrock. 2017-12-29. Pion-less effective field theory for atomic nuclei and lattice nuclei. https://doi.org/10.1103/physrevc.98.054301

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