Linear responses in time-dependent Hartree-Fock-Bogoliubov method with Gogny interaction

M. C. Cambiaggio, G.G. Dussel, Marcos Saraceno

修一郎 江幡

日本物理学会, 京都大学基礎物理学研究所, 正俊 山村 +1 more

Yukio Hashimoto, 健一 野出木

A numerical method to solve time-dependent Hartree-Fock-Bogoliubov equation is proposed to treat the case with Gogny effective interaction. To check the feasibility of the method, it is applied to oxygen isotope O20 and small amplitude oscillations are calculated. The conservation of the nucleon numbers as well as energy expectation value is demonstrated. The strength distributions of the small amplitude quadrupole oscillations are also shown.

Masatoshi Yamamura, A. Kuriyama

Yukio Hashimoto

A new numerical method of calculating the Hartree-Fock-Bogoliubov (HFB) and time-dependent HFB (TDHFB) with the Gogny interaction is proposed. The three-dimensional harmonic-oscillator (3DHO) basis functions are replaced by one-dimensional spatial grid points of Lagrange mesh plus two-dimensional harmonic-oscillator basis functions in the perpendicular plane to the direction of the spatial grid points [Lagrange mesh and harmonic oscillator (LMHO)]. By using the LMHO, the calculations of the HFB and TDHFB are carried out in the typical nuclei of ${}^{20}\mathrm{O}$ and ${}^{34}\mathrm{Mg}$ as an illustration of the feasibility of the TDHFB formulation with the LMHO. The strength functions of the quadrupole vibrations ($K=0$) are obtained and are compared with the ones calculated with the 3DHO.