Complex mean fields and unnatural parity pairing in the Hartree-Fock-Bogoliubov problem with symmetry-projection before the variation

Schmid, K.W.; Grümmer, F.; Faessler, Amand

doi:10.1016/0003-4916(87)90129-1

Cited by 64 publications

(67 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The quasiparticles are defined by a complex valued Bogoliubov transformation, which ensures the possibility of coexisting isoscalar and isovector pair fields (c.f. [76], [96]). The coefficients of the transformation are found by minimizing the energy of the symmetry-projected trial wave function.…”

Section: Mean Field Approaches With Partial Symmetry Restorationmentioning

confidence: 99%

“…For 96 Cd, 92 Pd, and 88 Ru, the blades have the length J = 18, 32, and 40, corresponding to 2, 3, and 4 g 9/2 hole pairs, respectively. The AMR coupling scheme qualitatively accounts for the Shell Model results for 96 Cd and 92 Pd but it does not for 88 Ru and even less for the experimental E γ values from this nucleus. The discrepancy indicates that with a larger number of valence holes the deformed average potential will become more important.…”

Section: The Spin-aligned Coupling Schemementioning

confidence: 99%

See 1 more Smart Citation

Overview of neutron–proton pairing

Frauendorf

Macchiavelli

2014

Progress in Particle and Nuclear Physics

192

179

View full text Add to dashboard Cite

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.

show abstract

Section: Mean Field Approaches With Partial Symmetry Restorationmentioning

confidence: 99%

Section: The Spin-aligned Coupling Schemementioning

confidence: 99%

Overview of neutron–proton pairing

Frauendorf

Macchiavelli

2014

Progress in Particle and Nuclear Physics

192

179

View full text Add to dashboard Cite

show abstract

“…It has been found that the careful treatment of the chemical potential in this paper makes the agreement of Band 2 much better even in the PAC model. 3 In Ref [23], the first line of Eq. (2) contains a typographical error.…”

Section: Resultsmentioning

confidence: 99%

“…the particle-rotor model, or more sophisticated microscopic approach like the projected shell model [4], or the full angular momentum projection approach [3]. It is, however, increasingly more difficult to apply them to the case of multi-quasiparticle bands.…”

Section: Discussionmentioning

confidence: 99%

“…The particle-rotor model [1,2] is a possible means to extend the idea by lifting the adiabatic assumption and including the effect of Coriolis coupling by exact diagonalization, although it is still semi-phenomenological in the sense that the macroscopic "rotor" part is explicitly introduced. Nowadays, fully microscopic approaches are available, for example, the variation after full angular momentum projection base on the generalized mean-field [3] and the projected shell model [4]. However, they are very complicated and lose simplicity of the model.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Calculation of strongly-coupled rotational bands in terms of the tilted axis cranking model

Ohtsubo

Shimizu

2003

Nuclear Physics A

View full text Add to dashboard Cite

Recently observed strongly-coupled rotational bands associated with the ν [505] IntroductionBohr-Mottelson's strong-coupling model [1] is the first pioneering work which is capable to describe interplay between the collective and the single-particle rotational motions in well-deformed nuclei. It successfully reproduce both the energy spectra and the electromagnetic transition properties of rotational bands in odd nuclei. It is, however, of phenomenological nature since essential quantities like the moment of inertia and the quadrupole moment are model-parameters and are adjusted in comparison with experimental data. One has to combine it with a more microscopic model such as the Nilsson single-particle model. Another drawback of the model is that it is based on the adiabatic assumption of the collective rotation and the application to the high angular momentum regime is not straightforward. The particle-rotor model [1, 2] is a possible means to extend the idea by lifting the adiabatic assumption and including the effect of Coriolis coupling by exact diagonalization, although it is still semi-phenomenological in the sense that the macroscopic "rotor" part is explicitly introduced. Nowadays, fully microscopic approaches are available, for example, the variation after full angular momentum projection base on the generalized mean-field [3] and the projected shell model [4]. However, they are very complicated and lose simplicity of the model. On the other hand, by taking into account the effect of rotation unperturbatively, the mean-field theory has been extended in the rotating frame: The cranking model or the Cranked Shell Model (CSM) [5], which is simple and yet microscopic, has been successfully applied to understand various high-spin phenomena [6] such as backbending of moment of inertia. Recently, this cranking model has been further extended in such a way to include the tilting degrees of freedom of rotation-axis relative to the deformed shape; the Tilted Axis Cranking (TAC) model [7,8,9] (the conventional cranking is called the Principal Axis Cranking (PAC) model, instead), which gives nice interpretations of new types of nuclear rotational motions, e.g. the shears bands [10] and the chiral bands [9,11]. Although these cranking models treat the rotational motion in a semiclassical manner, its simplicity allows us to have a clear physical picture of various collective rotational motions, which are actually a result of the complex nuclear many-body problem.The purpose of the present paper is two folds: The first is to give a clear relationship between the strong-coupling model and the TAC model. The second is to apply the TAC model to the 1

show abstract

1.5 Microscopic description of nuclear excited states

Soloviev¹

Z = 2 - 36

View full text Add to dashboard Cite

Complex mean fields and unnatural parity pairing in the Hartree-Fock-Bogoliubov problem with symmetry-projection before the variation

Cited by 64 publications

References 37 publications

Overview of neutron–proton pairing

Overview of neutron–proton pairing

Calculation of strongly-coupled rotational bands in terms of the tilted axis cranking model

1.5 Microscopic description of nuclear excited states

Contact Info

Product

Resources

About