Nuclear structure with accurate chiral perturbation theory nucleon-nucleon potential: Application to Li6 and B10

We calculate properties of the $A=6$ system using the accurate charge-dependent nucleon-nucleon (NN) potential at fourth order of chiral perturbation theory. By application of the ab initio no-core shell model and a variational calculation in the harmonic-oscillator basis with basis size up to $16\hslash \Omega$ we obtain the ${}^6\mathrm{Li}$ binding energy of $28.5\left(5\right)\text{MeV}$ and a converged excitation spectrum. Also, we calculate properties of ${}^{10}\mathrm{B}$ using the same NN potential in a basis space of up to $8\hslash \Omega$. Our results are consistent with results obtained by standard accurate NN potentials and demonstrate a deficiency of Hamiltonians consisting of only two-body terms. At this order of chiral perturbation theory three-body terms appear. It is expected that inclusion of such terms in the Hamiltonian will improve agreement with experiment.