Interpretation of the Wigner energy as due to RPA correlations

Neergård, K.

doi:10.1016/s0370-2693(02)01917-2

Cited by 30 publications

(50 citation statements)

References 14 publications

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“…Hence the mean field values should be considered as a lower limit of the actual correlation strength. The fluctuations were studied by Ginocchio and Weneser [60] and Neergard [67][68][69] in the framework of the Quasiparticle Random Phase Approximation (QRPA). The main correction to the ground state energy was found to be generated by the QRPA spurious mode ∝ T + , which appears as a consequence of breaking the isospin symmetry by the isovector mean pair field.…”

Section: Qrpa Correctionsmentioning

confidence: 99%

“…Section 2.3.4), Neergard [67][68][69] used a fixed set of single particle levels in a deformed potential. The isocranking procedure for a fixed levels gives a value of θ that is about a factor of 2 too large, because it accounts only for the so-called "kinetic" part of the symmetry energy, which is generated by the asymmetric occupation of the levels according to the Pauli Principle.…”

Section: Isovector Scenariomentioning

confidence: 99%

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Overview of neutron–proton pairing

Frauendorf

Macchiavelli

2014

Progress in Particle and Nuclear Physics

193

179

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The role of neutron-proton pairing correlations on the structure of nuclei along the N = Z line is reviewed. Particular emphasis is placed on the competition between isovector (T = 1) and isoscalar (T = 0) pair fields. The expected properties of these systems, in terms of pairing collective motion, are assessed by different theoretical frameworks including schematic models, realistic Shell Model and mean field approaches. The results are contrasted with experimental data with the goal of establishing clear signals for the existence of neutron-proton (np) condensates. We will show that there is clear evidence for an isovector np condensate as expected from isospin invariance. However, and contrary to early expectations, a condensate of deuteron-like pairs appears quite elusive and pairing collectivity in the T = 0 channel may only show in the form of a phonon. Arguments are presented for the use of direct reactions, adding or removing an np pair, as the most promising tool to provide a definite answer to this intriguing question.

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Section: Qrpa Correctionsmentioning

confidence: 99%

Section: Isovector Scenariomentioning

confidence: 99%

Overview of neutron–proton pairing

Frauendorf

Macchiavelli

2014

Progress in Particle and Nuclear Physics

193

179

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“…(12)- (15). However, the relative momentum operators (55) affect both particles at the same time, and hence have to be first recoupled to forms where the two particles are acted upon independently, i.e.,…”

Section: The P-h Channelmentioning

confidence: 99%

Local density approximation for proton-neutron pairing correlations: Formalism

et al. 2004

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In the present study we generalize the self-consistent Hartree-Fock-Bogoliubov (HFB) theory formulated in the coordinate space to the case which incorporates an arbitrary mixing between protons and neutrons in the particle-hole (p-h) and particle-particle (p-p or pairing) channels. We define the HFB density matrices, discuss their spin-isospin structure, and construct the most general energy density functional that is quadratic in local densities. The consequences of the local gauge invariance are discussed and the particular case of the Skyrme energy density functional is studied. By varying the total energy with respect to the density matrices the self-consistent one-body HFB Hamiltonian is obtained and the structure of the resulting mean fields is shown. The consequences of the time-reversal symmetry, charge invariance, and proton-neutron symmetry are summarized. The complete list of expressions required to calculate total energy is presented.

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“…The origin of the Wigner energy has been discussed by several groups, e.g., Satu la et al [11][12][13], Zeldes [14], Neergåard [15] and Jänecke et al [16,17]. The Wigner contribution to the binding energy is usually decomposed into two parts [18] …”

Section: Wigner Energymentioning

confidence: 99%

The symmetry energy in nuclei and in nuclear matter

Dieperink

Isacker

2007

Eur. Phys. J. A

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Abstract.We discuss to what extent information on ground-state properties of finite nuclei (energies and radii) can be used to obtain constraints on the symmetry energy in nuclear matter and its dependence on the density. The starting point is a generalized Weizsäcker formula for ground-state energies. In particular, effects from the Wigner energy and shell structure on the symmetry energy are investigated. Strong correlations in the parameter space prevent a clear isolation of the surface contribution. Use of neutron skin information improves the situation. The result of the analysis appears consistent with a rather soft density dependence of the symmetry energy in nuclear matter.

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Interpretation of the Wigner energy as due to RPA correlations

Cited by 30 publications

References 14 publications

Overview of neutron–proton pairing

Overview of neutron–proton pairing

Local density approximation for proton-neutron pairing correlations: Formalism

The symmetry energy in nuclei and in nuclear matter

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