New broad 0 + state in 12 C

The $3\ensuremath{\alpha}$ resonance states in $^{12}\mathrm{C}$ are investigated by using the method of analytic continuation in the coupling constant combined with the complex scaling method (ACCC+CSM). We obtain a new ${0}^{+}$ resonance state with energy ${E}_{r}=1.66$ MeV and width $\ensuremath{\Gamma}=1.48$ MeV, which is of interest as a candidate for the recently observed ${0}^{+}$ state at ${E}_{x}=10.3$ MeV.

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