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The collective Hamiltonian up to the fourth order for multi-O(4) model is derived based on the self-consistentcollective-coordinate (SCC) method,which is formulated in the framework of the time-dependent Hartree-Bogoliubov(TDHB) theory.The validity of the collective Hamiltonian is checked in the two special cases of the multi-O(4) model:the case where the number of the shells is equal to one (a single j-shell case),and the case where the Hartree-Bogoliubovequilibrium point is spherical (the spherical case).The collective Hamiltonian constitutes a good starting point to studynuclear shape coexistence.
The collective Hamiltonian up to the fourth order for multi-O (4) model is derived based on the self-consistent collective-coordinate (SCC) method, which is formulated in the framework of the time-dependent Hartree-Bogoliubov (TDHB) theory. The validity of the collective Hamiltonian is checked in the two special cases of the multi-O (4) model: the case where the number of the shells is equal to one (a single j-shell case), and the case where the Hartree -Bogoliubovequilibrium point is spherical (the spherical case). The collective Hamiltonian constitutes a good starting point to studynuclear shape coexistence.