著者

Hashimoto Yukio

出版者

The American Physical Society

雑誌

Physical review C (ISSN:05562813)

巻号頁・発行日

vol.88, no.3, pp.034307, 2013-09

被引用文献数

21 2

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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 20O and 34Mg 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.

著者

Hashimoto Yukio

出版者

Springer

雑誌

The European physical journal. A (ISSN:14346001)

巻号頁・発行日

vol.48, no.5, pp.55, 2012

被引用文献数

38 12

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A numerical method to integrate the time-dependent Hartree-Fock-Bogoliubov (TDHFB) equations with Gogny interaction is proposed. The feasibility of the TDHFB code is illustrated by the conservation of the energy, particle numbers, and center of mass in the small amplitude vibrations of 20O . The TDHFB code is applied to the isoscalar quadrupole and/or isovector dipole vibrations in the linear (small amplitude) region in oxygen isotopes, 18, 20, 22, 24O , titanium isotopes, 44, 50, 52, 54Ti , neon isotope, 26Ne , and magnesium isotopes, 24, 34Mg . The isoscalar quadrupole and isovector dipole strength functions are calculated from the expectation values of the isoscalar quadrupole and isovector dipole moments.