Ab initio no-core shell model description of $^{10-14}$C isotopes

Abstract

We present a systematic study of the 10−14 C isotopes within the ab initio no-core shell model theory. We apply four different realistic nucleon-nucleon (NN) interactions: (i) the charge-dependent Bonn 2000 (CDB2K) potential (ii) the inside non-local outside Yukawa (INOY) potential (iii) the next-to-next-to-next-to-leading order (N 3 LO) potential, and (iv) the optimized next-to-next-toleading order (N 2 LOopt) potential. We report the low-lying energy spectra of both positive and negative parity states for the 10−14 C isotopes and investigate the level structures. We also calculate electromagnetic properties such as transition strengths, quadrupole and magnetic moments. The dependence of point-proton radii on the harmonic oscillator frequency and basis space is shown. We present calculations of the translation invariant one-body density matrix in the no-core shell model and discuss isotopic trends in the density distribution. The maximum basis space reached is 10 Ω for 10 C and 8 Ω for 11−14 C, with a maximum M-scheme dimension of 1.3 × 10 9 for 10 C. We found that while the INOY interaction gives the best description of the ground state energies, the N 3 LO interaction best reproduces the point-proton radii.