Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations
Abstract
We present simple equations for a canonical-basis formulation of the time-dependent Hartree-Fock-Bogoliubov (TDHFB) theory. The equations are obtained from the TDHFB theory with an approximation that the pair potential is assumed to be diagonal in the canonical basis. The canonical-basis 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 quasi-particle 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, including the neutron excess, separation energy, neutron shell effects, deformation, and pairing.
Keywords
Cite
@article{arxiv.1007.0785,
title = {Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations},
author = {Shuichiro Ebata and Takashi Nakatsukasa and Tsunenori Inakura and Kenichi Yoshida and Yukio Hashimoto and Kazuhiro Yabana},
journal= {arXiv preprint arXiv:1007.0785},
year = {2014}
}