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$^3$He+$^{12}$C scattering is studied in a coupled channel method by using a double folding model with microscopic wave functions of $^{12}$C. Experimental angular distributions in elastic and inelastic scattering to the $2^+$ (4.44 MeV), 0$^+_2$ (7.65 MeV) and 3$^-$ (9.63 MeV) states of $^{12}$C are well reproduced. It is found that the Airy minimum of the prerainbow oscillations for the Hoyle state is considerably shifted to a larger angle due to its dilute density distribution compared with that of the normal ground state in agreement with the idea of $\alpha$ particle condensation.

PRERAINBOW OSCILLATIONS IN 3He SCATTERING FROM THE HOYLE STATE OF 12C AND ALPHA PARTICLE CONDENSATION

PRERAINBOW OSCILLATIONS IN ³He SCATTERING FROM THE HOYLE STATE OF ¹²C AND ALPHA PARTICLE CONDENSATION