Eur. Phys. J. A (2012) 48: 55
https://doi.org/10.1140/epja/i2012-12055-0

Regular Article - Theoretical Physics

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

Graduate School of Pure and Applied Sciences, University of Tsukuba, 305-8571, Tsukuba, Japan

Received: 5 January 2012
Accepted: 17 March 2012
Published online: 2 May 2012

Abstract

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, 24}O , titanium isotopes, ^{44, 50, 52, 54}Ti , neon isotope, ²⁶Ne , and magnesium isotopes, ^{24, 34}Mg . The isoscalar quadrupole and isovector dipole strength functions are calculated from the expectation values of the isoscalar quadrupole and isovector dipole moments.