Real-time evolution method and its application to the 3α cluster system

A theoretical method is proposed to describe the ground and excited cluster states of atomic nuclei. The method makes use of the equation of motion of the Gaussian wave packets to generate the basis wave functions incorporating various cluster configurations. The generated basis wave functions are superposed to diagonalize the Hamiltonian. This method is regarded as the generator coordinate method which uses the real time as the generator coordinate. As a application of our proposed method, we present the benchmark calculation for the 3 alpha system. We show that our proposed method works efficiently and yields the results consistent with or better than the other cluster models. We have also discussed briefly the structure of the excited 0(+) and 1(-) states.