Study of approximations in the nuclear pairing-force problem

Pradhan, H.C.; Nogami, Y.; Law, J.

doi:10.1016/0375-9474(73)90071-7

Cited by 277 publications

(175 citation statements)

References 12 publications

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“…In the present work, the disappearance of the calculated gap 044308-5 energies is rather smooth and gradual, so the qualitative feature of the system might be expected to be maintained, as Ring and Schuck explain on p. 278 in their textbook [19]. However, a more elaborate treatment to keep the pairing correlation is necessary for more accurate descriptions at high spin, such as the Lipkin-Nogami method [20].…”

Section: Effect Of Pairing Correlation and Backbendingmentioning

confidence: 56%

Description of superdeformed bands in lightN=Znuclei using the cranked Hartree-Fock-Bogoliubov method

2007

Phys. Rev. C

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Superdeformed states in light N = Z nuclei are studied by means of the self-consistent cranking calculation (i.e., the P+QQ model based on the cranked Hartree-Fock-Bogoliubov method). Analyses are given for two typical cases of superdeformed bands in the A 40 mass region, that is, bands where backbending is absent ( 40 Ca) or present ( 36 Ar). Investigations are carried out particularly for the following points: cross-shell excitations in the sd and pf shells; the role of the g 9/2 and d 5/2 orbitals; the effect of nuclear pairing; and the interplay between triaxiality and band termination.

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Section: Effect Of Pairing Correlation and Backbendingmentioning

confidence: 56%

Description of superdeformed bands in lightN=Znuclei using the cranked Hartree-Fock-Bogoliubov method

2007

Phys. Rev. C

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“…The singleparticle levels is derived from the axially deformed WoodsSaxon potential with the set of universal parameters [26]. The pairing correlation is treated using the Lipkin-Nogami (LN) approach [27,28] in which the particle number is conserved approximately and thus the spurious pairing phase transition encountered in the usual BCS calculation can be avoided. The monopole pairing strength G is determined by the average gap method [29,30].…”

Section: The Modelmentioning

confidence: 99%

Investigation of octupole effects in superheavy nuclei with improved potential-energy-surface calculations

et al. 2012

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It has been found that high-order deformation (e.g. β 6 ) can have important effects on the structures of superheavy nuclei. In the present work, we investigate octupole deformation effects on superheavy nuclei with an improved potential-energy-surface (PES) calculation by including reflection-asymmetric deformations in a space of (β 2 , β 3 , β 4 , β 5 ). The calculations give various deformations including highly deformed (β 2 ≈ 0.4) and superdeformed (β 2 ≈ 0.7) shapes. The octupole-deformation degree of freedom mainly affects the fission barrier beyond the second minimum of PES. Experimentally, octupole correlation manifests itself in atomic nuclei usually with enhanced E1 transitions connecting interleaved positive and negative-parity bands, which is similar to the rotational bands observed in reflectionasymmetric molecules [1]. Such correlation originates from the coupling of a pair of single-particle orbitals close to the Fermi Surface and having ΔN = 1, Δl = 3 and Δ j = 3. superdeformed minima are soft with respect to octupole deformations in A∼40, A∼150 and A∼190 mass regions [6][7][8]. This is because the single-particle spectrum at superdeformations favors octupole excitations due to the presence of intruder states [2]. Experiments have identified some octupolevibrational states and strong E1 transitions which are expected to connect these vibrational levels to the lowest SD band [7][8][9][10].With the development of the radioactive beam facility, heavy-ion accelerator and highly-effective detector systems [11,12], great progress has been made recently in nuclear physics including the synthesis of superheavy nuclei [13][14][15]. The deformations of superheavy nuclei are interesting. Superdeformed prolate [16][17][18] and superdeformed oblate [19] shapes have been predicted. In our previous works [20,21], we discussed the β 6 effects in superheavy nuclei [20] and the β 3 effects on high-K states at the second well of actinide nuclei [21]. In the present paper, using an improved potentialenergy-surface (PES) with the inclusion of reflectionasymmetric β 3 and β 5 deformations, we systematically calculate 248−264

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“…To avoid the sudden collapse of pairing correlations, we use the Lipkin-Nogami approximate number projection [24]. It is important to stress that the model is free of adjustable strength parameters.…”

Section: The Modelmentioning

confidence: 99%

Quadrupole pairing interaction and signature inversion

2000

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The signature inversion in the πh 11/2 νh 11/2 rotational bands of the odd-odd Cs and La isotopes and the πh 11/2 νi 13/2 bands of the odd-odd Tb, Ho and Tm nuclei is investigated using pairing and deformation self-consistent mean-field calculations. The model can rather satisfactorily account for the anomalous signature splitting provided that spin assignments in some of the bands are revised. Our calculations show that signature inversion can appear already at axially symmetric shapes. It is found that this is due to the contribution of the (λµ) = (22) component of the quadrupole-pairing interaction to the mean-field potential.

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Study of approximations in the nuclear pairing-force problem

Cited by 277 publications

References 12 publications

Description of superdeformed bands in lightN=Znuclei using the cranked Hartree-Fock-Bogoliubov method

Description of superdeformed bands in lightN=Znuclei using the cranked Hartree-Fock-Bogoliubov method

Investigation of octupole effects in superheavy nuclei with improved potential-energy-surface calculations

Quadrupole pairing interaction and signature inversion

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