We propose a practical method to solve the random-phase approximation (RPA) in the selfconsistent Hartree-Fock (HF) and density-functional theory. The method is based on numerical evaluation of the residual interactions utilizing finite amplitude of single-particle wave functions.The method only requires calculations of the single-particle Hamiltonian constructed with independent bra and ket states. Using the present method, the RPA calculation becomes possible with a little extension of a numerical code of the static HF calculation. We demonstrate usefulness and accuracy of the present method performing test calculations for isoscalar responses in deformed 20 Ne.

We present simple equations for a canonical-basis (Cb) formulation of the time-dependent Hartree-FockBogoliubov (TDHFB) theory. The equations are obtained from the TDHFB theory with an approximation that the pair potential is assumed to be diagonal in the Cb. The Cb formulation significantly reduces the computational cost. We apply the method to linear-response calculations for even-even light nuclei and demonstrate its capability and accuracy by comparing our results with recent calculations of the quasiparticle random-phase approximation with Skyrme functionals. We show systematic studies of E1 strength distributions for Ne and Mg isotopes. The evolution of the low-lying pygmy strength seems to be determined by the interplay of several factors, which include the neutron excess, the separation energy, the neutron-shell effects, the deformation, and the pairing.

The pygmy dipole resonances (PDR) for even-even nuclei in 8=

We analyze total reaction cross sections, sigma(R), to explore their sensitivity to the neutron-skin thickness of nuclei. We cover 91 nuclei of O, Ne, Mg, Si, S, Ca, and Ni isotopes. The cross sections are calculated in the Glauber theory using the density distributions obtained with the Skyrme-Hartree-Fock method in three-dimensional coordinate space. Defining a reaction radius, a(R) = root alpha(R)/pi, to characterize the nuclear size and target (proton or C-12) dependence, we find an empirical formula for expressing a(R) with the point matter radius and the skin thickness, and assess two practical ways of determining the skin thickness from proton-nucleus sigma(R) values measured at different energies or from sigma(R) values measured for different targets

A systematic analysis is made on the total reaction cross sections for Ne, Mg, Si, and S isotopes. The high-energy nucleus-nucleus collision is described based on the Glauber model. Using the Skyrme-Hartree-Fock method in the three-dimensional grid-space representation, we determine the nuclear density distribution for a wide range of nuclei self-consistently without assuming any spatial symmetry. The calculated total reaction cross sections consistently agree with the recent cross section data on Ne+ 12 C collision at 240A MeV, which makes it possible to discuss the radius and deformation of the isotopes. The total reaction cross sections for Mg+ 12 C, Si+ 12 C and S+ 12 C cases are predicted for future measurements. We also find that the high-energy cross section data for O, Ne, and Mg isotopes on a 12 C target at around 1000 AMeV can not be reproduced consistently with the corresponding data at 240 AMeV.