Nonlocalized motion in two-dimensional container of α particles in 3- and 4- states of 12C
Abstract
The first 3- and 4- states of 12C are studied in the present container model, in which the shift parameter is introduced to break the parity symmetry for projecting out the negative-parity states. Taking the limit as the shift parameter approaches zero and by variational calculations for one-deformed size parameter, the local energy minima are obtained for the 3- and 4- states. It is found that the obtained single THSR (Tohsaki-Horiuchi-Schuck-R\"opke) wave functions for 3- and 4- states are 96% and 92% equivalent to the corresponding GCM wave functions, respectively. The calculated intrinsic densities further show that these negative-parity states of three clusters, different with the traditional understanding of rigid triangle structure, are found to have nonlocalized clustering structure in the two-dimensional container picture.