Ab initioshell model forA=10nuclei

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