Continuum QRPA in the coordinate space representation

Abstract

We formulate a quasi-particle random phase approximation (QRPA) in the coordinate space representation. This model is a natural extension of the RPA model of Shlomo and Bertsch to open-shell nuclei in order to take into account pairing correlations together with the coupling to the continuum. We apply it to the ${}^{120}$Sn nucleus and show that low-lying excitation modes are significantly influenced by the pairing effects although the effects are marginal in the giant resonance region. The dependence of the pairing effect on the parity of low-lying collective mode is also discussed.

RevTex, 21 pages, 10 eps figures

References in corpus (1)

• Nuclear isotope shifts within the local energy-density functional approach

Cited by in corpus (23)

• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• Self-Consistent Description of Multipole Strength in Exotic Nuclei I: Method
• Role of deformation on giant resonances within the QRPA approach and the Gogny force
• Continuum quasiparticle random phase approximation and the time dependent Hartree-Fock-Bogoliubov approach
• Large-scale Continuum Random Phase Approximation predictions of dipole strength for astrophysical applications
• Deformed quasiparticle-random-phase approximation for neutron-rich nuclei using the Skyrme energy density functional
• Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase-approximation
• Pairing dynamics in particle transport
• Description of electric dipole excitations in the tin isotopes within the quasiparticle time blocking approximation
• Continuum Random Phase Approximation for Relativistic Point Coupling Models
• Linear Responses in Time-dependent Hartree-Fock-Bogoliubov Method with Gogny Interaction
• Low-lying Dipole Modes in ${}^{26,28}$Ne in the Quasiparticle Relativistic Random Phase Approximation
• Relativistic Continuum Quasiparticle Random Phase Approximation in Spherical Nuclei
• Neutrino and antineutrino charge-exchange reactions on 12C
• Pairing and continuum effects on low-frequency quadrupole vibrations in deformed Mg isotopes close to the neutron drip line
• Continuum QRPA response for deformed neutron-rich nuclei
• Structure and direct decay of Giant Monopole Resonances
• Low-frequency $K^{\pi }=0^{+}$ modes in deformed neutron-rich nuclei: Pairing- and $\beta$-vibrational modes of neutron
• Soft Dipole Modes in Neutron-rich Ni-isotopes in QRRPA
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Nuclear structure far from stability
• Dynamic Pairing Effects on Low-Frequency Modes of Excitation in Deformed Mg Isotopes close to the Neutron Drip Line
• Theory of nuclear collective vibrations