<i>Ab initio</i>no-core full configuration calculations of light nuclei

Abstract

We perform no-core full configuration calculations for a set of light nuclei including $^{16}\mathrm{O}$ with a realistic $\mathit{NN}$ interaction, JISP16. We obtain ground-state energies and their uncertainties through exponential extrapolations that we demonstrate are reliable in $^{2}\mathrm{H}$, $^{3}\mathrm{H}$, and $^{4}\mathrm{He}$ test cases where fully converged results are obtained directly. We find that $^{6}\mathrm{He}$, $^{6}\mathrm{Li}$, and $^{8}\mathrm{He}$ are underbound by about 600 keV, 560 keV, and $1.7$ MeV, respectively. $^{12}\mathrm{C}$ is overbound by about $1.7$ MeV and $^{16}\mathrm{O}$ is overbound by about 16 MeV. The first excited ${0}^{+}$ states in $^{12}\mathrm{C}$ and $^{16}\mathrm{O}$ are also evaluated but their uncertainties are significantly larger than the uncertainties for the ground states.