Real-time evolution method and its application to 3$\alpha$ cluster system

Abstract

A new theoretical method is proposed to describe the ground and excited cluster states of atomic nuclei. The method utilizes the equation-of-motion of the Gaussian wave packets to generate the basis wave functions having various cluster configurations. The generated basis wave functions are superposed to diagonalize the Hamiltonian. In other words, this method uses the real time as the generator coordinate. The application to the $3\alpha$ system as a benchmark shows that the new method works efficiently and yields the result consistent with or better than the other cluster models. Brief discussion on the structure of the excited $0^{+}$ and $1^{-}$ states is also made.

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Cited by in corpus (12)

• Nonlocalized Clustering and Evolution of Cluster Structure in Nuclei
• Resonant and Scattering States in the $\alpha +\alpha$ System from the Non-Localized Cluster Model
• Investigating the predicted breathing-mode excitation of the Hoyle state
• Optimization of basis functions for the multi-configuration mixing using the Replica Exchange Monte-Carlo method and its application to ${}^{12}$C
• Microscopic calculations of 6He and 6Li with real-time evolution method
• The study of the alpha formation probability in 10Be and 12Be within the microscopic cluster model
• Shape of 13C studied by the real-time evolution method
• Shape of 12C
• The isoscalar monopole strength of 13C
• A time-dependent Hartree-Fock study of triple-alpha dynamics
• Multi-probe study of excited states in ${}^{12}\mathrm{C}$: disentangling the sources of monopole strength between the Hoyle state and $E_x=13$ MeV
• Examination of the $\alpha$-cluster breaking in the four $0^{+}$ bands of ${}^{12}$C with the variation of multiple bases of the antisymmetrized molecular dynamics