Speaker
Description
We consider the three-nucleon system non-perturbatively in the framework of chiral effective field theory (EFT) on the lattice at next-to-next-to-next-to-leading order ($\mathrm{N^3LO}$). For the two-nucleon force, a lattice version of the successful semilocal momentum-space regularized (SMS) potential is employed. In the three-nucleon sector, we determine the two low-energy constants (LECs) in the $\mathrm{N^2LO}$ contact interactions by adjusting the smallest Hamiltonian eigenvalues to the binding energies of triton and helion-3. Additionally, the charge radii of these nuclei and the half-life of the beta decay between them are computed, where the latter is based on the nuclear axial current at leading order in chiral EFT. We compare our results with a recent perturbative lattice-EFT calculation that uses the wave-function-matching technique to circumvent the Monte-Carlo sign problem.
