Continuum linear response in coordinate space Hartree–Fock–Bogoliubov formalism for collective excitations in drip-line nuclei

Matsuo, Masayuki

doi:10.1016/s0375-9474(01)01133-2

Cited by 155 publications

(254 citation statements)

References 41 publications

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“…Since the pairing plays an important role in heavy nuclei, this is very desirable but a difficult task. In this respect, we should mention that the HFB-based continuum QRPA has been recently proposed by Matsuo [87] to take account of the continuum for both particle-hole (p-h) and particle-particle (p-p)/hole-hole (h-h) channels. The combination of the 3D continuum RPA and the continuum QRPA may produce a general theory to calculate excited states in the p-h, p-p, and h-h continuum for nuclei in the whole nuclear chart.…”

Section: Discussionmentioning

confidence: 99%

Linear response theory in the continuum for deformed nuclei: Green's function vs time-dependent Hartree-Fock with the absorbing boundary condition

2005

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The continuum random-phase approximation is extended to the one applicable to deformed nuclei. We propose two different approaches. One is based on the use of the three dimensional (3D) Green's function and the other is the small-amplitude TDHF with the absorbing-boundary condition. Both methods are based on the 3D Cartesian grid representation and applicable to systems without any symmetry on nuclear shape. The accuracy and identity of these two methods are examined with the BKN interaction. Using the full Skyrme energy functional in the small-amplitude TDHF approach, we study the isovector giant dipole states in the continuum for 16 O and for even-even Be isotopes.

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Section: Discussionmentioning

confidence: 99%

Linear response theory in the continuum for deformed nuclei: Green's function vs time-dependent Hartree-Fock with the absorbing boundary condition

2005

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“…This approach accounts on equal footing for the influence of the residual particle-hole (ph) as well as the particle-particle (pp) correlations. In analogy to non-relativistic calculations [58,59,60,61] this can be achieved on the basis of relativistic CRPA theory developed in this manuscript either by treating the pairing correlations in the BCS approach for nuclei far from the drip lines where no level in the continuum is occupied, or in the Hartree-Bogoliubov approximation valid for all nuclei up to the drip line. Investigations in this direction are in progress.…”

Section: Discussionmentioning

confidence: 99%

Continuum random-phase approximation for relativistic point coupling models

Daoutidis

Ring

2009

Phys. Rev. C

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Relativistic Continuum Random Phase Approximation (CRPA) is used to investigate collective excitation phenomena in several spherical nuclei along the periodic table. We start from relativistic mean field calculations based on a covariant density functional with density dependent zero range forces. From the same functional an effective interaction is obtained as the second derivative with respect to the density. This interaction is used in relativistic continuum-RPA calculations for the investigation of isoscalar monopole, isovector dipole and isoscalar quadrupole resonances of spherical nuclei. In particular we study the low-lying E1 strength in the vicinity of the neutron evaporation threshold. The properties of the resonances, such as centroid energies and strengths distributions are compared with results of discrete RPA calculations for the same model as well as with experimental data.

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“…We describe the neutron pair correlation by means of the Hartree-Fock-Bogoliubov (HFB) mean-field theory [28] and the continuum quasiparticle random phase approximation (QRPA) [29,30]. We assume the spherical symmetry of the mean-fields and densities associated with the ground states of the subshell-closed Sn isotopes.…”

Section: Skyrme-hartree-fock-bogoliubov Mean-field Plus Qrpa Apprmentioning

confidence: 99%

Anomalous pairing vibration in neutron-rich Sn isotopes beyond theN=82magic number

Shimoyama

2011

Phys. Rev. C

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Two-neutron transfer associated with the pair correlation in superfluid neutron-rich nuclei is studied with focus on low-lying 0 + states in Sn isotopes beyond the N = 82 magic number. We describe microscopically the two-neutron addition and removal transitions by means of the Skyrme-HartreeFock-Bogoliubov mean-field model and the continuum quasiparticle random phase approximation formulated in the coordinate space representation. It is found that the pair transfer strength for the transitions between the ground states becomes significantly large for the isotopes with A ≥ 140, reflecting very small neutron separation energy and long tails of the weakly bound 3p orbits. In 132−140 Sn, a peculiar feature of the pair transfer is seen in transitions to low-lying excited 0 + states. They can be regarded as a novel kind of pair vibrational mode which is characterized by an anomalously long tail of the transition density extending to far outside of the nuclear surface, and a large strength comparable to that of the ground-state transitions. The presence of the weakly bound neutron orbits plays a central role for these anomalous behaviors.

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Continuum linear response in coordinate space Hartree–Fock–Bogoliubov formalism for collective excitations in drip-line nuclei

Cited by 155 publications

References 41 publications

Linear response theory in the continuum for deformed nuclei: Green's function vs time-dependent Hartree-Fock with the absorbing boundary condition

Linear response theory in the continuum for deformed nuclei: Green's function vs time-dependent Hartree-Fock with the absorbing boundary condition

Continuum random-phase approximation for relativistic point coupling models

Anomalous pairing vibration in neutron-rich Sn isotopes beyond theN=82magic number

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