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要旨

First principles calculations of atomic nuclei based on microscopic nuclear
forces derived from chiral effective field theory (EFT) have blossomed in the
past years. A key element of such ab initio studies is the understanding and
quantification of systematic and statistical errors arising from the omission
of higher-order terms in the chiral expansion as well as the model calibration.
While there has been significant progress in analyzing theoretical
uncertainties for nucleon-nucleon scattering observables, the generalization to
multi-nucleon systems has not been feasible yet due to the high computational
cost of evaluating observables for a large set of low-energy couplings. In this
Letter we show that a new method called eigenvector continuation (EC) can be
used for constructing an efficient and accurate emulator for nuclear many-body
observables, thereby enabling uncertainty quantification in multi-nucleon
systems. We demonstrate the power of EC emulation with a proof-of-principle
calculation that lays out all correlations between bulk ground-state
observables in the few-nucleon sector. On the basis of ab initio calculations
for the ground-state energy and radius in 4He, we demonstrate that EC is more
accurate and efficient compared to established methods like Gaussian processes.