Ab initioshell model forA=10nuclei

We investigate properties of $A=10$ nuclei in the ab initio, no-core shell model using realistic Argonne and CD-Bonn nucleon-nucleon $(\mathrm{NN})$ potentials and basis spaces through $9\ensuremath{\Elzxh}\ensuremath{\Omega}$ (with basis dimensions reaching $5.5\ifmmode\times\else\texttimes\fi{}{10}^{8}).$ Results for binding energies, excitation spectra (including negative parity and $2\ensuremath{\Elzxh}\ensuremath{\Omega}$-dominated intruder states), electromagnetic properties, and the isospin-mixing correction of the ${}^{10}{\stackrel{\ensuremath{\rightarrow}}{\mathrm{C}}}^{10}\mathrm{B}$ Fermi transition are presented. For ${}^{10}\mathrm{B},$ these $\mathrm{NN}$ potentials produce a ${J}^{\ensuremath{\pi}}{T=1}^{+}0$ ground state, contrary to the experimental ${3}^{+}0,$ a clear indication of the need for true three-body forces.