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In the present paper, we have calculated the energy spectra for neutron rich$^{18-22}$N isotopes using no core shell model (NCSM).To calculate the energyspectrum we have used three different $NN$ potentials, inside non-local outsideYukawa (INOY), next-to-next-to-next-leading order (N3LO) from chiral effectivefield theory and charge-dependent Bonn 2000 (CDB2K). The INOY potential, whichis a two body interaction but also have the effect of three body forces byshort range and non local character present in it. The calculations have beendone at $\hbar\Omega$=20 MeV, 14 MeV and 12 MeV using INOY, N3LO and CDB2Kpotentials, respectively. Apart from this, we have also performed shell modelcalculations with the YSOX interaction.The results with INOY interaction showgood agreement with the experimental data in comparison to other threeinteractions. We have also shown the occupancy of different orbitals involvedcorresponding to the largest model space ($N_{max}$= 4) in the presentcalculations.

Ab Initio No Core Shell Model Study of Neutron Rich Nitrogen Isotopes