Disappearance of theN=14shell gap in the carbon isotopic chain

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Abstract

The structure of ${}_{6}^{17\ensuremath{-}20}\mathrm{C}$ nuclei was investigated by means of the in-beam $\ensuremath{\gamma}$-ray spectroscopy technique using fragmentation reactions of radioactive beams. Based on particle-$\ensuremath{\gamma}$ and particle-$\ensuremath{\gamma}\ensuremath{\gamma}$ coincidence data, level schemes are constructed for the neutron-rich $^{17\ensuremath{-}20}\mathrm{C}$ nuclei. The systematics of the first excited ${2}^{+}$ states in the carbon isotopes is extended for the first time to $A=20$ showing that in contrast to the case of the oxygen isotopes, the $N=14$ subshell closure disappears. Experimental results are compared with shell-model calculations. Agreement between them is found only if a reduced neutron-neutron effective interaction is used. Implications of this reduced interaction in some properties of weakly bound neutron-rich Carbon are discussed.

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