Restoration of axial symmetry of the equilibrium shape of 24Mg by pairing correlations

Goodman, Alan L.; Struble, G.L.; Goswami, A.

doi:10.1016/0370-2693(68)90552-2

Cited by 41 publications

(20 citation statements)

References 8 publications

(2 reference statements)

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“…Coexistence of ∆ 10 , ∆ 0 for N = Z, which is the "generalized pairing theory" of Refs. [72,73]. Since ∆ 0 is isorotational invariant, this solution represents only one of the infinite many generated by rotation in isospace.…”

Section: Hfb Theorymentioning

confidence: 97%

Overview of neutron–proton pairing

Frauendorf

Macchiavelli

2014

Progress in Particle and Nuclear Physics

188

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: Hfb Theorymentioning

confidence: 97%

Overview of neutron–proton pairing

Frauendorf

Macchiavelli

2014

Progress in Particle and Nuclear Physics

188

179

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“…The wave functions and the energies E(N, T ) depend on two dimensional C ∆ /B ∆ and C α /B α and one nondimensional ρ 0 parameters. As in our previous paper, we will compare with the experimental data the ratios of the energies determined by (15). To reduce the number of parameters for calculating these quantities we fix the relative energy of the nucleus with N =1 and T =1, whose experimental value is 4.5 MeV.…”

Section: Resultsmentioning

confidence: 99%

“…The majority of investigations have been concentrated on the study of the proton-neutron pair correlations in the framework of the BCStype microscopic models. [10][11][12][13][14][15][16][17] It was noted also that it is important in these type of studies to conserve exactly the particle number and isospin. [18][19][20][21][22] The approach keeping a conservation of isospin and based on the introduction of the alpha-particle like quartets was developed in.…”

Section: Introductionmentioning

confidence: 99%

Collective model with isovector pair and alpha-particle type correlations

Jolos,

Kolganova,

Sazonov

2021

Preprint

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The collective Hamiltonian including isovector pairing and α-particle type correlation degrees of freedom is constructed. The Hamiltonian is applied to description of the relative energies of the ground states of even-even nuclei around 56 Ni. A satisfactory description of the experimental data is obtained. A significant improvement of the agreement with the experimental data compared to our previous calculations is explained by inclusion in the Hamiltonian of the dynamical variables describing α-particle type correlations.

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“…t = 1 np−pairing phases. 7,8 However, more recent calculations show that t = 0 and t = 1 pairing phases can coexist. This was shown in Ref.…”

Section: Neutron-proton Pairing: General Considerationsmentioning

confidence: 99%

Isoscalar and Isovector Neutron—Proton Pairing

Afanasjev¹

2013

Fifty Years of Nuclear BCS

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Neutron-proton (np−) pairing is expected to play an important role in the N ≈ Z nuclei. In general, it can have isovector and isoscalar character. The existence of isovector np−pairing is well established. On the contrary, it is still debated whether there is an isoscalar np−pairing. The review of the situation with these two types of pairing with special emphasis on the isoscalar one is presented. It is concluded that there are no substantial evidences for the existence of isoscalar np-pairing.

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Restoration of axial symmetry of the equilibrium shape of 24Mg by pairing correlations

Cited by 41 publications

References 8 publications

Overview of neutron–proton pairing

Overview of neutron–proton pairing

Collective model with isovector pair and alpha-particle type correlations

Isoscalar and Isovector Neutron—Proton Pairing

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