Container model for the ground and excited 0+ states in 12C

The original 3α THSR (Tohsaki-Horiuchi-Schuck-Röpke) wave function was extended to 2α+α THSR wave function for studying the rich cluster structures of 0+ states in 12C, which includes two size parameters and the 2α correlation was included in the container picture. It was found that the extended single THSR wave functions give a very high-accuracy description of the ground state and also the excited 0+ states in 12C. By superposing the 2α+α THSR basis with the radius constraint method, we performed the GCM calculations for the 0+ states. The existence of the 03+ and 04+ states around 10 MeV were confirmed in this microscopical cluster model. The further study indicates the 03+ state can be considered as a breathing-like excited state of the Hoyle state.