Discrete energy levels from truncated many-body calculations are inverted, via a Multiparameter Eigenvalue Problem emulator, into effective contact interactions that yield scattering phase shifts and resonance predictions.
Effective Field Theory for Lattice Nuclei
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abstract
We show how nuclear effective field theory (EFT) and ab initio nuclear-structure methods can turn input from lattice quantum chromodynamics (LQCD) into predictions for the properties of nuclei. We argue that pionless EFT is the appropriate theory to describe the light nuclei obtained in recent LQCD simulations carried out at pion masses much heavier than the physical pion mass. We solve the EFT using the effective-interaction hyperspherical harmonics and auxiliary-field diffusion Monte Carlo methods. Fitting the three leading-order EFT parameters to the deuteron, dineutron and triton LQCD energies at $m_{\pi}\approx 800$ MeV, we reproduce the corresponding alpha-particle binding and predict the binding energies of mass-5 and 6 ground states.
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Constructing Effective Interactions via Projection-Based Inversion
Discrete energy levels from truncated many-body calculations are inverted, via a Multiparameter Eigenvalue Problem emulator, into effective contact interactions that yield scattering phase shifts and resonance predictions.