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We discuss the studies of light nuclei in ab initio No-core FullConfiguration approach based on extrapolations to the infinite model space oflarge-scale No-core Shell Model calculations on supercomputers. The convergenceat the end of p shell and beginning of the sd shell can be achieved if onlyreasonable soft enough NN interactions are used. In particular, goodpredictions are obtained with a realistic JISP16 NN interaction obtained inJ-matrix inverse scattering approach and fitted to reproduce light nucleiobservables without three-nucleon forces. We discuss the current status of thisNN interaction and its recent development.

New development of realistic J-matrix inverse scattering NN interaction and ab initio description of light nuclei