Examination of the α-cluster breaking in the four 0+ bands of 12C with the variation of multiple bases of the antisymmetrized molecular dynamics
Abstract
I investigate 12C, particularly the four kinds of the 0+ bands with various types of the 3α configurations. These states are obtained in the variation of the multiple bases of the antisymmetrized molecular dynamics, where the bases are optimized simultaneously in the variation of the total energy. In the 0+2 Hoyle state and the 0+3 linear-chain state, I confirm a mixture of the α-cluster breaking of the s-wave configuration with contributions from the spin-orbit force, while the 0+4 state exhibits a relatively pure 3α cluster state characterized by a large radius. The 2+2-4 and 4+2-4 states also tend to be the pure 3α cluster states. The monopole transitions between the 0+2 and 0+4 bands exhibit large values, suggesting breathing mode of the 3α states in the 0+4 band. This conclusion aligns with the predictions of the 3α models with an α condensate and also with a neural network, although the order of the 0+3 and 0+4 bands is reversed in the present results due to the attraction of the spin-orbit force.
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