Abstract

Differential cross-sections of the elastic and inelastic 13 C + α scattering were measured at E(α ) = 90 MeV. The root mean-square radii( >) of 13 C nucleus in the states: 8.86 (1/2− ), 3.09 (1/2+ ) and 9.90 (3/2− ) MeV were determined by the Modified diffraction model (MDM). The radii of the first two levels are enhanced compared to that of the ground state of 13 C, confirming the suggestion that the 8.86 MeV state is an analogue of the Hoyle state in 12 C and the 3.09 MeV state has a neutron halo. Some indications to the abnormally small size of the 9.90 MeV state were obtained.

Highlights

  • During recent years evidence of the existence of nuclear excited states with abnormally large radii was obtained

  • Differential cross sections of the elastic and inelastic 13C + α scattering were measured at the Jyvaskyla University cyclotron, Finland

  • The observed shift of the extremes of the inelastic scattering cross section to smaller angles indicates the enhancement of the radius for the 3.09 MeV state in comparison with the ground state one

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Summary

Introduction

During recent years evidence of the existence of nuclear excited states with abnormally large radii was obtained. V : Figure 1: Differential cross sections of the 13C + α elastic scattering and inelastic one leading to the 3.09 MeV state in 13C at E(α) = 90 MeV. Inelastic scattering 13C (α, α ) at E(α) = 65 MeV [1] we observed three excited states whose radii differed from that of the ground state: 3.09 MeV (1/2+), 8.86 MeV (1/2−) and 9.90 MeV (3/2−).

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