Mathematical analysis

Electronic engineering

Charge radius

Physics

Eigenfunction

Energy (signal processing)

Subspace topology

Atomic physics

Molecule

Proton

Mathematical optimization

Quantum mechanics

Mathematics

Hamiltonian (control theory)

Coupled cluster

Engineering

Eigenvalues and eigenvectors

Sensitivity (control systems)

Physical Review Letters

We perform a global sensitivity analysis of the binding energy and the charge radius of the nucleus ^{16}O to identify the most influential low-energy constants in the next-to-next-to-leading order chiral Hamiltonian with two- and three-nucleon forces. For this purpose, we develop a subspace-projected coupled-cluster method using eigenvector continuation [Frame D. et al., Phys. Rev. Lett. 121, 032501 (2018)PRLTAO0031-900710.1103/PhysRevLett.121.032501]. With this method, we compute the binding energy and charge radius of ^{16}O at more than 10^{6} different values of the 16 low-energy constants in one hour on a standard laptop computer. For relatively small subspace projections, the root-mean-square error is about 1% compared to full-space coupled-cluster results. We find that 58(1)% of the variance in energy can be apportioned to a single contact term in the ^{3}S_{1} wave, whereas the radius depends sensitively on several low-energy constants and their higher-order correlations. The results identify the mos...

Global Sensitivity Analysis of Bulk Properties of an Atomic Nucleus