Systematics of 2+ states in C isotopes from the ab initio no-core shell model

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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18 pages, 6 figures, preprint version. Corrected figure 5. Edited table II and added reference

Scientific paper

We study low-lying states of even-even carbon isotopes in the range A = 10 - 20 within the large-scale ab initio no-core shell model (NCSM). Using several accurate nucleon-nucleon (NN) as well as NN plus three-nucleon (NNN) interactions, we calculate excitation energies of the lowest 2^+ state, the electromagnetic B(E2; 2^+_1 -> 0^+_1) transition rates, the 2^+_1 quadrupole moments as well as selected electromagnetic transitions among other states. Recent experimental campaigns to measure 2^+ state lifetimes indicate an interesting evolution of nuclear structure that is a challenge to reproduce theoretically from first principles. Our calculations do not include any effective charges or other fitting parameters. Overall, we find a good agreement with the experimentally observed trends, although our calculated B(E2; 2^+_1 -> 0^+_1) value for 16C is lower compared to the most recent measurements. Relative transition strengths from higher excited states are investigated and the influence of NNN forces is discussed. In particular for 16C we find a remarkable sensitivity of the transition rates from higher excited states to the details of the nuclear interactions.

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