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Radius of 12C in the excited 2 +2 Hoyle state

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Abstract

The differential cross sections of the inelastic α + 12C scattering leading to the excitation of the short-lived 2 +2 (E x = 9.84 or 9.6 MeV) state in 12C have been analysed within a modified diffraction model. We determined the diffraction radii of 12C in this excited state at E α = 386 and 240 MeV and compared them with the diffraction radius for the 0 +2 (E x = 7.65 MeV) Hoyle state. We found that the rms radii for the 2 +2 state is 〈R(2 +2 )〉 = 3.07 ± 0.13fm, which agrees well with the rms radius of the 0 +2 , 7.65 MeV Hoyle state and is a factor of 1.3 larger than the rms radius for the ground state of 12C. The similarity between the rms radii of the 0 +2 and 2 +2 states provides a strong argument in favor of a hypothesis that the 2 +2 state is the first member of a rotational band based on the 0 +2 Hoyle state.

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Correspondence to T. L. Belyaeva.

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Communicated by A.A. Korsheninnikov

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Ogloblin, A.A., Belyaeva, T.L., Danilov, A.N. et al. Radius of 12C in the excited 2 +2 Hoyle state. Eur. Phys. J. A 49, 46 (2013). https://doi.org/10.1140/epja/i2013-13046-3

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  • DOI: https://doi.org/10.1140/epja/i2013-13046-3

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