The ground state of $^{16}\mathrm{O}$ is calculated by using a time-dependent density-matrix approach derived from a new truncation scheme of the Bogoliubov--Born--Green--Kirkwood--Yvon hierarchy for reduced density matrices, where a three-body density matrix is approximated by an antisymmetrized product of two-body density matrices. The new scheme is compared with a simpler truncation scheme previously used for the calculation of the ground state of $^{16}\mathrm{O}$ where the three-body density matrix is neglected and only two-particle--two-hole elements of the two-body density matrix are considered. It is shown that the results obtained from the two truncation schemes agree well with the exact solution.The ground state of $^{16}\mathrm{O}$ is calculated by using a time-dependent density-matrix approach derived from a new truncation scheme of the Bogoliubov--Born--Green--Kirkwood--Yvon hierarchy for reduced density matrices, where a three-body density matrix is approximated by an antisymmetrized product of two-body density matrices. The new scheme is compared with a simpler truncation scheme previously used for the calculation of the ground state of $^{16}\mathrm{O}$ where the three-body density matrix is neglected and only two-particle--two-hole elements of the two-body density matrix are considered. It is shown that the results obtained from the two truncation schemes agree well with the exact solution.

Physical Review CJan 8, 201511 citations

Correlated Ground State and E2 Giant Resonance Built on It

M. Tohyama

Taking 16O as an example of realistic nuclei, we demonstrate that a correlated ground state can be obtained as a long time solution of a time-dependent density-matrix formalism (TDDM) when the residual interaction is adiabatically treated. We also study in TDDM the E2 giant resonance of 16O built on the correlated ground state and compare it with that built on the Hartree-Fock ground state. It is found that a spurious mixing of low frequency components seen in the latter is eliminated by using the correlated ground state.Taking 16O as an example of realistic nuclei, we demonstrate that a correlated ground state can be obtained as a long time solution of a time-dependent density-matrix formalism (TDDM) when the residual interaction is adiabatically treated. We also study in TDDM the E2 giant resonance of 16O built on the correlated ground state and compare it with that built on the Hartree-Fock ground state. It is found that a spurious mixing of low frequency components seen in the latter is eliminated by using the correlated ground state.

Progress of Theoretical PhysicsJul 1, 19954 citations

The ground state of

^{16}\mathrm{O}

is calculated by using a time-dependent density-matrix approach derived from a new truncation scheme of the Bogoliubov--Born--Green--Kirkwood--Yvon hierarchy for reduced density matrices, where a three-body density matrix is approximated by an antisymmetrized product of two-body density matrices. The new scheme is compared with a simpler truncation scheme previously used for the calculation of the ground state of

^{16}\mathrm{O}

where the three-body density matrix is neglected and only two-particle--two-hole elements of the two-body density matrix are considered. It is shown that the results obtained from the two truncation schemes agree well with the exact solution.