Bayesian inference is increasingly favored for uncertainty quantification in nuclear physics, but its parameter estimation generally requires Monte Carlo sampling of a model’s parameter space. Each evaluation of the model’s prediction may be so computationally expensive that the inference becomes infeasible. Eigenvector continuation (EC), as coupled with variational method, has recently shown that it can be used as an efficient and accurate emulator to ameliorate this problem for computing nuclear bound-state properties from chiral effective field theory (Chiral EFT) Hamiltonians [1909.08446, 1910.02922].
In this talk, I will discuss our extension [2007.03635] of this approach to two-body scattering, by combining Kohn variational method with the EC. Tests of the emulators will be presented for the scatterings from various potentials. The efficiency will also be discussed. I will briefly mention our ongoing generalization of the method to the three-body systems. These emulators would have a wide range of applications, such as fitting the Chiral EFT to nucleon-deuteron scattering data and nuclear optical potentials to nuclear scattering/reaction data. I will also speculate how this method could be applied to analyze the results from ab initio calculations, including Lattice QCD and a newly developed Luscher-type calculation [2004.13575] for low-energy nuclear scattering.
Zoom link will be available via announcement email, or by contacting: stroberg[at]uw.edu.