Continuum quasiparticle random phase approximation and the time dependent Hartree-Fock-Bogoliubov approach

Abstract

Quadrupole excitations of neutron-rich nuclei are analyzed by using the linear response method in the Quasiparticle Random Phase Approximation (QRPA). The QRPA response is derived starting from the time-dependent Hartree-Fock-Bogoliubov (HFB) equations. The residual interaction between the quasiparticles is determined consistently from the two-body force used in the HFB equations, and the continuum coupling is treated exactly. Calculations are done for the neutron-rich oxygen isotopes. It is found that pairing correlations affect the low-lying states, and that a full treatment of the continuum can change the structure of the states in the giant resonance region.

17 pages, 7 figures. Revised version with comments and references added

References in corpus (3)

• Continuum Linear Response in Coordinate Space Hartree-Fock-Bogoliubov Formalism for Collective Excitations in Drip-line Nuclei
• Pairing and continuum effects in nuclei close to the drip line
• Continuum QRPA in the coordinate space representation

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