RADII OF CLUSTER STATES IN ¹¹<font>B</font> AND ¹³<font>C</font>

Abstract

Differential cross sections of the inelastic deuterons, 3 He and α-particle scattering on 11 B and 13 C at the incident energies ~ 10 - 100 MeV/u were analyzed in the diffraction angular range. It was shown that the excited states 3/2 - (8.56 MeV) of 11 B and 1/2 - (8.86, 11.08 and 12.5 MeV) of 13 C which are located close to the 2α + t and 3α + n thresholds correspondingly, have the radii enhanced by a factor ~ 1.2 in comparison with those of the ground states. Their values are approximately equal to the value of the 12 C radius in the excited state 7.65 MeV [Formula: see text] (Hoyle state) and are close to predictions of different versions of antisymmetrized molecular dynamics (AMD) model.