Light nuclei without a core

Abstract

We introduce the no-core full configuration (NCFC) approach and present results for ${}^4$He, ${}^{12}$C and ${}^{14}$F with the realistic NN interaction, JISP16. We obtain ground state energies and their uncertainties through exponential extrapolations that we demonstrate are reliable in ${}^4$He where fully converged results are obtained. We find ${}^{12}$C is overbound by 1.7 MeV and we predict the yet-to-be-measured binding energy of ${}^{14}$F to be $68.1\pm 2.7$ MeV. The extrapolated spectrum of ${}^{14}$F is in reasonable agreement with known features of the ${}^{14}$B spectrum.

To be published in the Proceedings of the XXX Reuniao de Fisica Nuclear no Brasil, August, 2007. 6 pages, 7 figures