Ab initio no-core shell-model description of ^10-14C isotopes

We present a systematic study of the C10-14 isotopes within the ab initio no-core shell-model theory. We apply four different realistic nucleon-nucleon (NN) interactions: (i) the charge-dependent Bonn 2000 (CDB2K) potential; (ii) the inside nonlocal outside Yukawa (INOY) potential; (iii) the next-to-next-to-next-to-leading order ((NLO)-L-3) potential; and (iv) the optimized next-to-next-to-leading order ((NLOopt)-L-2) potential. We report the low-lying energy spectra of both positive- and negative-parity states for C10-14 isotopes and investigate the level structures. We also calculate electromagnetic properties such as transition strengths, quadrupole moments, and magnetic moments. The dependence of point-proton radii on the harmonic-oscillator frequency and basis space is shown. We present calculations of the translation invariant one-body density matrix in the no-core shell-model and discuss isotopic trends in the density distribution. The maximum basis space reached is 10h Omega for C-10 and 8h Omega for C11-14, with a maximum M-scheme dimension of 1.3 x 10(9) for C-10. We found that, while the INOY interaction gives the best description of the ground-state energies, the (NLO)-L-3 interaction best reproduces the point-proton radii.