Pairing in nuclear systems: from neutron stars to finite nuclei

Dean, D. J.; Hjorth‐Jensen, M.

doi:10.1103/revmodphys.75.607

Cited by 485 publications

(558 citation statements)

References 265 publications

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“…The Wigner energy is linear in β and manifests itself as a spike in the experimental isobaric mass parabola. The Wigner energy has been explored and discussed extensively in the literatures [34]. It is generally expected that the Wigner energy originates from the neutron-proton (np) pairing correlations and is the strongest prefigure of the np paring in the N = Z nuclei [35].…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Hot nuclear matter equation of state with a three-body force

Zuo

et al. 2004

Phys. Rev. C

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The finite temperature Brueckner-Hartree-Fock approach is extended by introducing a microscopic three-body force. In the framework of the extended model, the equation of state of hot asymmetric nuclear matter and its isospin dependence have been investigated. The critical temperature of liquid-gas phase transition for symmetric nuclear matter has been calculated and compared with other predictions. It turns out that the three-body force gives a repulsive contribution to the equation of state which is stronger at higher density and as a consequence reduces the critical temperature of liquid-gas phase transition. The calculated energy per nucleon of hot asymmetric nuclear matter is shown to satisfy a simple quadratic dependence on asymmetric parameter β as in the zero-temperature case. The symmetry energy and its density dependence have been obtained and discussed. Our results show that the three-body force affects strongly the high-density behavior of the symmetry energy and makes the symmetry energy more sensitive to the variation of temperature. The temperature dependence and the isospin dependence of other physical quantities, such as the proton and neutron single particle potentials and effective masses are also studied. Due to the additional repulsion produced by the three-body force contribution, the proton and neutron single particle potentials are correspondingly enhanced as similar to the zerotemperature case.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Hot nuclear matter equation of state with a three-body force

Zuo

et al. 2004

Phys. Rev. C

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“…We can expect this because neutron-rich nuclei often accompany skin or halo, i.e., low density distributions of weakly bound neutrons surrounding the nucleus, and also because the neutron pairing in neutron matter is predicted to be strong or close to the strong-coupling regime at low densities [13][14][15][16][17][18][19]. The expected enhancement of the pair correlation may result in unusual properties in two-neutron transfers.…”

Section: Introductionmentioning

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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“…Until now, quantum theoretical analysis of neutron superfluidity has mainly concentrated on static configurations (in either infinite medium [13] or inhomogeneous systems [14,15,16]), meaning states for which no current is actually flowing relative to crust. Even at densities substantially beyond the neutron drip threshold it should still be possible to obtain a reasonably accurate description for the static case by using the so called Wigner-Seitz approximation that treats the neighbourhood of each ionic nucleus as if it were isolated in a sphere whose diameter is determined by the nearest neighbour distance.…”

Section: Introductionmentioning

confidence: 99%