Spectra and Scattering of Light Lattice Nuclei from Effective Field Theory
Johannes Kirscher🇮🇱 · Nir Barnea🇮🇱 · Doron Gazit🇮🇱 · Francesco Pederiva🇮🇹 · Ubirajara van Kolck🇫🇷
An effective field theory is used to describe light nuclei, calculated from quantum chromodynamics on a lattice at unphysically large pion masses. The theory is calibrated at leading order to two available data sets on two- and three-body nuclei for two pion masses. At those pion masses we predict the quartet and doublet neutron-deuteron scattering lengths, and the alpha-particle binding energy. For MeV we obtain, respectively, fm, fm, and MeV, while for MeV fm, fm, and MeV are found. Phillips- and Tjon-like correlations to the triton binding energy are established. Higher-order effects on the respective correlation bands are found insensitive to the pion mass. As a benchmark, we present results for the physical pion mass, using experimental two-body scattering lengths and the triton binding energy as input. Hints of subtle changes in the structure of the triton and alpha particle are discussed.