Effects of pairing correlation on the quasiparticle resonance in neutron-rich Ca isotopes

Zhang, Ying; Qu, Xiao Ying

doi:10.1103/physrevc.102.054312

Cited by 10 publications

(6 citation statements)

References 96 publications

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“…In the investigations with the continuum Skyrme HFB approach in Refs. [38,39], the authors concluded that the pairing correlation can enhance the resonant energies and widths for all quasiparticle resonances, whether hole-like or particle-like. However, in Ref.…”

Section: Summary and Perspectivesmentioning

confidence: 99%

“…For example, to describe the continuum exactly in exotic nuclei near the drip line and study the possible effects of the continuum on the properties of the ground state, Zhang et al developed the self-consistent continuum Skyrme Hartree-Fock-Bogoliubov (HFB) theory [35,36], based on which a series of research projects have been conducted. These include establishment of the energies and wave functions for single-particle canonical bound and resonant states with different space sizes [37], study of the possible impacts of meanfield and pairing on the resonances [38,39], and the extension to the odd-A systems by including the blocking effect [40]. To explore the contribution of the continuous spectrum to nuclear collective excitations, Matsuo applied the HFB Green's function [41] to the quasiparticle random-phase approximation [42,43], enabling further study of the collective excitations coupled to the continuum [44][45][46][47], microscopic structures of monopole pair vibrational modes and associated twoneutron transfer amplitudes [48], and neutron capture reactions.…”

Section: Introductionmentioning

confidence: 99%

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Searching for single-particle resonances with the Green's function method

Wang,

Sun

2021

Preprint

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Single-particle resonances in the continuum are crucial for studies of exotic nuclei. In this study, the Green's function approach is employed to search for single-particle resonances based on the relativistic-meanfield model. Taking 120 Sn as an example, we identify single-particle resonances and determine the energies and widths directly by probing the extrema of the Green's functions. In contrast to the results found by exploring for the extremum of the density of states proposed in our recent study [Chin. Phys. C, 44:084105 (2020)], which has proven to be very successful, the same resonances as well as very close energies and widths are obtained. By comparing the Green's functions plotted in different coordinate space sizes, we also found that the results very slightly depend on the space size. These findings demonstrate that the approach by exploring for the extremum of the Green's function is also very reliable and effective for identifying resonant states, regardless of whether they are wide or narrow.

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Section: Summary and Perspectivesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Searching for single-particle resonances with the Green's function method

Wang,

Sun

2021

Preprint

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“…It has been demonstrated that the Green's function method can properly describe asymptotic wave functions for weakly bound and continuum states and thus provide a good description for the extended density distribution of neutron-rich nuclei [10]. This method can also nicely describe the resonant energy and width in the continuum, especially taking into account the contribution from the resonant width to the energy density functional self-consistently [10][11][12]. Recently, the canonical states in the HFB model, corresponding to singleparticle states in the HF model but including the pairing effects, were obtained via the diagonalization of the density matrix constructed by the Green 's function method [13,14].…”

Section: Mgmentioning

confidence: 99%

Neutrons in the classically forbidden region in neutron-rich nucleus ⁶⁸Ca *

Zhu¹,

Zhang²

2021

Chinese Phys. C

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Neutrons tunneling to the classically forbidden (CF) region in the neutron-rich nucleus are investigated in the Skyrme Hartree-Fock (HF) and Hartree-Fock-Bogoliubov (HFB) models. The definition of the CF region is examined in the HF model by using different single-particle potentials for the bound states. In the HFB model, the weakly bound and continuum states could also contribute to the neutrons in the CF region due to the pairing correlation. Their asymptotic wave functions are carefully calculated by the Green’s function method.

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“…In 2009, the continuum HFB theory in a coupled channel representation was developed to explore the effects of the continuum and pairing correlation in deformed Mg isotopes near the neutron drip line [67]. In 2011, Zhang et al developed the fully selfconsistent continuum Skyrme-HFB theory with Green's function method [68], which was further applied to investigate the giant halos [69] and the effects of pairing correlation on the quasiparticle resonances [70,71]. In 2019, to explore the halo phenomena in the neutron-rich odd-A nuclei, the self-consistent continuum Skyrme-HFB theory was further extended by including the blocking effect [72].…”

Section: Introductionmentioning

confidence: 99%

Continuum Skyrme Hartree-Fock-Bogoliubov theory with Green's function method for neutron-rich Ca, Ni, Zr, Sn isotopes

Huo¹,

Sun²,

Li³

et al. 2022

Preprint

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The possible exotic nuclear properties in the neutron-rich Ca, Ni, Zr, and Sn isotopes are explored with the continuum Skyrme Hartree-Fock-Bogoliubov theory formulated with the Green's function method, in which the pairing correlation, the couplings with the continuum, and the blocking effects for the unpaired nucleon in odd-A nuclei are properly treated. In the ph channel, the SLy4 parameter set is taken for the Skyrme interaction, and in the pp channel, the DDDI is adopted for the pairing interaction. With those parameters, the available experimental two-neutron separation energies S2n and one-neutron separation energies Sn are well reproduced. Much shorter drip lines predicted by Sn are obtained compared with those by S2n. The systematic studies of the neutron pairing energies −Epair shown that values of the odd-A nuclei are much smaller in comparison with those of the neighboring even-even nuclei due to the absent contribution of pairing energy by the unpaired odd neutron. By investigating the single-particle structures, the rms radii and the density distributions, the possible halo structures in the neutron-rich Ca, Ni, and Sn isotopes are predicted, in which the sharp increases of rms radii with significant deviations from the traditional r ∝ A 1/3 rule and very diffuse spatial distributions in densities are observed. By analyzing the contributions of different partial waves to the total neutron density ρ lj (r)/ρ(r), the orbitals locating around the Fermi surface especially those with low angular momenta are found the main reason causing the extended nuclear density and large rms radii. Finally, the numbers of the neutrons N λ (N0) occupied above the Fermi surface λn (in the continuum) are discussed, the behaviors of which are basically consistent with those of pairing energy, supporting the key role of the pairing correlations in the halo phenomena.

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Effects of pairing correlation on the quasiparticle resonance in neutron-rich Ca isotopes

Cited by 10 publications

References 96 publications

Searching for single-particle resonances with the Green's function method

Searching for single-particle resonances with the Green's function method

Neutrons in the classically forbidden region in neutron-rich nucleus ⁶⁸Ca *

Continuum Skyrme Hartree-Fock-Bogoliubov theory with Green's function method for neutron-rich Ca, Ni, Zr, Sn isotopes

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Effects of pairing correlation on the quasiparticle resonance in neutron-rich Ca isotopes

Cited by 10 publications

References 96 publications

Searching for single-particle resonances with the Green's function method

Searching for single-particle resonances with the Green's function method

Neutrons in the classically forbidden region in neutron-rich nucleus 68Ca *

Continuum Skyrme Hartree-Fock-Bogoliubov theory with Green's function method for neutron-rich Ca, Ni, Zr, Sn isotopes

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Neutrons in the classically forbidden region in neutron-rich nucleus ⁶⁸Ca *