ИСТИНА

I shall overview some our recent results of theoretical an initio studies of light nuclei within the no-core shell model (NCSM) as well as various recent developments of the NCSM approach. In particular, I shall discuss a new NN interaction based on the chiral effective field theory and adapted to reproduce not only NN scattering data but also properties of light nuclei without three-nucleon forces. To improve the accuracy of the NCSM predictions, various techniques are used to extrapolate the NCSM results to the case of the infinite basis space. One of the most promising such techniques is based on the deep learning with artificial neural networks. We have also developed the SS-HORSE extension of the NCSM which makes it possible to calculate energies and widths of unbound nuclear resonant states. The NCSM can be used to justify the standard shell model with an inert core. For the standard shell model applications within the valence sd shell, we calculate in NCSM with realistic NN interactions the ground state energy of 16O and spectra of 17O and 17F nuclei to obtain the core energy and energies of the neutron and proton single-particle states in the sd shell. Next, we calculate in NCSM the 18F nucleus and reduce the obtained Hamiltonian matrix to the model space to derive the effective interaction of 0ћΩ valence nucleons.