Origin of the multipole pairing interactions

Sasaki, Hideo; Kishimoto, T.

doi:10.1016/0370-2693(90)90651-l

Cited by 84 publications

(81 citation statements)

References 7 publications

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“…We adopt the same single-particle energies and the P + Q interaction strengths as in Ref. 6 and the self-consistent quadrupole-pairing strength G self 2 proposed by Sakamoto and Kishimoto [10].…”

Section: The Ascc Methodsmentioning

confidence: 99%

MICROSCOPIC DYNAMICS OF SHAPE COEXISTENCE PHENOMENA AROUND ⁶⁸Se AND ⁷²Kr

Hinohara¹,

Matsuyanagi²,

Nakatsukasa³

2008

Physics of Unstable Nuclei

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The adiabatic self-consistent collective coordinate (ASCC) method is applied to the pairing-plus-quadrupole (P + Q) model Hamiltonian including the quadrupole pairing, and the oblate-prolate shape coexistence phenomena in proton-rich nuclei, 68 Se and 72 Kr, are investigated. It is shown that the collective path connecting the oblate and prolate local minima runs along a triaxial valley in the (β, γ) plane. Quantum collective Hamiltonian is constructed and low-lying energy spectra and E2 transition probabilities are calculated for the first time using the ASCC method. Basic properties of the shape coexistence/mixing are well reproduced. We also clarify the effects of the time-odd pair field on the collective mass (inertial function) for the large-amplitude vibration and on the rotational moments of inertia about three principal axes.

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Section: The Ascc Methodsmentioning

confidence: 99%

MICROSCOPIC DYNAMICS OF SHAPE COEXISTENCE PHENOMENA AROUND ⁶⁸Se AND ⁷²Kr

Hinohara¹,

Matsuyanagi²,

Nakatsukasa³

2008

Physics of Unstable Nuclei

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“…[25] and the QQ-pairing strengths, G 2µ , are calculated to restore the Galilean invariance broken by the seniority pairing force, see the prescription in Ref. [26]. For example, in the A∼130 mass region, where the 56(66) lowest proton (neutron) single-particle levels are used for the pairing calculation, the pairing strengths parameters are equal G 00 ≈ 165(145) keV and G 2µ ≈ 4.4(3.3) keV/fm 4 for protons (neutrons).…”

Section: The Modelmentioning

confidence: 99%

“…1 shows the influence of each Q 2µ (µ = 0, 1, 2) component of the QQ-pairing interaction on the signature splitting ∆e ′ ≡ e (uf,α=0) − e (f,α=1) , between the unfavored e (uf,α=0) and favored e (f,α=1) Routhians as a function of the quadrupole pairing strength G 2µ relative to the value G sc 2µ determined according to Ref. [26]. The calculations were performed for 120 Cs at fixed frequency and axial shape in order to address the effects of the QQ-pairing force alone.…”

Section: The Influence Of the Quadrupole Pairing Force On Signatmentioning

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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“…The total projected state corresponding to the S band is defined by 18) where the normalization factor is…”

Section: B Spherical Projected States From a Deformed Bcs Statementioning

confidence: 99%

Semimicroscopic description of backbending phenomena in some deformed even-even nuclei

Râduţâ¹,

Budaca²

2011

Phys. Rev. C

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The mechanism of backbending is semi-phenomenologically investigated based on the hybridization of two rotational bands. These bands are defined by treating a model Hamiltonian describing two interacting subsystems: a set of particles moving in a deformed mean-field and interacting among themselves through an effective pairing force and a phenomenological deformed core whose intrinsic ground state is an axially symmetric coherent boson state. The two components interact with each other by a quadrupole-quadrupole and a spin-spin interaction. The total Hamiltonian is considered in the space of states with good angular momentum, projected from a quadrupole deformed product function. The single-particle factor function defines the nature of the rotational bands, one corresponding to the ground band in which all particles are paired and another one built upon a i 13/2 neutron broken pair. The formalism is applied to six deformed even-even nuclei, known as being good backbenders. Agreement between theory and experiment is fairly good.

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Origin of the multipole pairing interactions

Cited by 84 publications

References 7 publications

MICROSCOPIC DYNAMICS OF SHAPE COEXISTENCE PHENOMENA AROUND ⁶⁸Se AND ⁷²Kr

MICROSCOPIC DYNAMICS OF SHAPE COEXISTENCE PHENOMENA AROUND ⁶⁸Se AND ⁷²Kr

Quadrupole pairing interaction and signature inversion

Semimicroscopic description of backbending phenomena in some deformed even-even nuclei

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Origin of the multipole pairing interactions

Cited by 84 publications

References 7 publications

MICROSCOPIC DYNAMICS OF SHAPE COEXISTENCE PHENOMENA AROUND 68Se AND 72Kr

MICROSCOPIC DYNAMICS OF SHAPE COEXISTENCE PHENOMENA AROUND 68Se AND 72Kr

Quadrupole pairing interaction and signature inversion

Semimicroscopic description of backbending phenomena in some deformed even-even nuclei

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Product

Resources

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MICROSCOPIC DYNAMICS OF SHAPE COEXISTENCE PHENOMENA AROUND ⁶⁸Se AND ⁷²Kr

MICROSCOPIC DYNAMICS OF SHAPE COEXISTENCE PHENOMENA AROUND ⁶⁸Se AND ⁷²Kr