No abstract

We present a computational method to solve the RPA eigenvalue equation employing a uniform grid representation in three-dimensional Cartesian coordinates. The conjugate gradient method is used for this purpose as an iterative method for a generalized eigenvalue problem. No construction of unoccupied orbitals is required in the procedure. We expect this method to be useful for systems lacking spatial symmetry to calculate accurate eigenvalues and transition matrix elements of a few low-lying excitations. Some applications are presented to demonstrate the feasibility of the method, considering the simplified mean-field model as an example of a nuclear physics system and the electronic excitations in molecules with time-dependent density functional theory as an example of an electronic system. * ) The precise definition of the RPA differs slightly among various fields. In the present article, we refer to the small amplitude limit of any time-dependent mean-field theory as RPA.

The single particle properties of nuclei on and beyond the drip line are investigated, using the spherical Woods-Saxon potential model, the deformed Woods-Saxon potential model and the coupled channel treatment. The single particle properties such as the halo structure and the Coulomb shift are investigated systematically. The typical halo or halo-like structure of two pairs of mirror nuclei, 11 Be, 11 N, 8 Li and 8 B is discussed and the deformation parameters β 2 determined so as to reproduce the several experimental data are β 2 ≈ 0.7. It is shown that a new type of the mirror symmetry breaking, the mirror symmetry breaking of the S factor, is found between the 11 Be and 11 N ground states.

No abstract

No abstract