Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations

Details Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations

2010-07-05

arxiv.org/abs/1007.0785v1

Phys. Rev. C 82, 034306 (2010)

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1103/PhysRevC.82.034306

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.

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