Search for Exotic States in 13C

New experimental data on inelastic scattering of α-particles on 13C at E(α) = 65 MeV and 90 MeV with excitation of the $$1{\text{/}}2_{3}^{ - }$$ state are present. Data is analyzed using Modified diffraction model (MDM). Obtained rms radius of this state within errors coincides with the radius of the $$1{\text{/}}2_{2}^{ - }$$ 8.86 MeV state in 13C and the Hoyle state in 12C. This result is an argument for close structure of these states. Unusual result regarding compact state 3/2– 9.90 MeV in 13C was tested via consideration of its isobar-analog state (IAS) in 13N – 3/2– 9.48 MeV state. We found that these states have normal non-increased radius.