Ground-state properties of light <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>4</mml:mn><mml:mi>n</mml:mi></mml:mrow></mml:math> self-conjugate nuclei in <i>ab initio</i> no-core Monte Carlo shell model calculations with nonlocal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>N</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math> interactions

We report ${J}^{\ensuremath{\pi}}={0}^{+}$ ground-state energies and point-proton radii of $^{4}\mathrm{He}$, $^{8}\mathrm{Be}$, $^{12}\mathrm{C}$, $^{16}\mathrm{O}$, $^{20}\mathrm{Ne}$ nuclei calculated by the ab initio no-core Monte Carlo shell model with JISP16 Daejeon16 nonlocal $NN$ interactions. Ground-state are obtained in basis spaces up to seven oscillator shells $({N}_{\mathrm{shell}}=7)$ several $(\ensuremath{\hbar}\ensuremath{\omega})$ around optimal energy for convergence energies. These eigenvalues extrapolated obtain estimates converged each space using variances computed eigenvalues. further extrapolate these energy-variance-extrapolated finite infinite basis-space results an empirical exponential form. This form features a dependence on size but is independent value $\ensuremath{\hbar}\ensuremath{\omega}$ used harmonic-oscillator functions. Point-proton states atomic also following techniques employed From results, it found that interaction provides good agreement experimental data approximately while $^{12}\mathrm{C}$. Beyond nuclei, interactions produce overbinding accompanied too small. findings suggest encourage revisions towards investigation nuclear structure heavier-mass regions.