Nuclear wobbling motion and electromagnetic transitions

Shimizu, Yoshifumi R.; Matsuzaki, Masayuki

doi:10.1016/0375-9474(94)00823-6

Cited by 57 publications

(83 citation statements)

References 65 publications

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“…≃ 0 in Fig.1(b)), and the mixing of the K = 1 component due to triaxiality and rotation gives rise to the character of the wobbling motion. This relative sign leads to a selection rule of the interband transition probabilities B(E2) out [15]. In the present case we obtain B(E2 : I → I − 1) out ≷ B(E2 : I → I + 1) out for γ ≷ 0, and typically their ratio to the in-band ones is B(E2 : Figure 4(a) shows dependence on the pairing gaps.…”

Section: The Even-even Nucleus 168 Hfmentioning

confidence: 69%

“…Here J x = J x /ω rot as usual and the detailed expressions of J (eff) y,z (ω n ) are given in Refs. [10,14,15]. Among normal modes, one obtains…”

Section: Mationmentioning

confidence: 99%

“…In the odd-Z case in which A p is occupied, the lowest one is Fig.5(d). According to the relation [15], The analyses above indicate that the chosen mean-field parameters are reasonable, and therefore we proceed to study ω rot -dependence with keeping these parameters constant. case reported in Fig.3, in the present case its effect on ω wob is visible as a small bump.…”

Section: The Odd-a Nucleus 167 Lumentioning

confidence: 99%

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Publisher’s Note: Nuclear moments of inertia and wobbling motions in triaxial superdeformed nuclei [Phys. Rev. C69, 034325 (2004)]

Matsuzaki¹,

Shimizu²,

Matsuyanagi³

2004

Phys. Rev. C

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The wobbling motion excited on triaxial superdeformed nuclei is studied in terms of the cranked shell model plus random phase approximation. Firstly, by calculating at a low rotational frequency the γ-dependence of the three moments of inertia associated with the wobbling motion, the mechanism of the appearance of the wobbling motion in positive-γ nuclei is clarified theoretically -the rotational alignment of the πi 13/2 quasiparticle(s) is the essential condition. This indicates that the wobbling motion is a collective motion that is sensitive to the single-particle alignment. Secondly, we prove that the observed unexpected rotational-frequency dependence of the wobbling frequency is an outcome of the rotational-frequency dependent dynamical moments of inertia.

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Section: The Even-even Nucleus 168 Hfmentioning

confidence: 69%

“…Here J x = J x /ω rot as usual and the detailed expressions of J (eff) y,z (ω n ) are given in Refs. [10,14,15]. Among normal modes, one obtains…”

Section: Mationmentioning

confidence: 99%

Section: The Odd-a Nucleus 167 Lumentioning

confidence: 99%

See 1 more Smart Citation

Publisher’s Note: Nuclear moments of inertia and wobbling motions in triaxial superdeformed nuclei [Phys. Rev. C69, 034325 (2004)]

Matsuzaki¹,

Shimizu²,

Matsuyanagi³

2004

Phys. Rev. C

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“…Therefore, the wobbling bands in the Lu and Ta isotopes are interpreted as transverse wobbling bands. Theoretically, the triaxial particle rotor model (PRM) [1,[15][16][17][18][19][20][21][22] and the cranking model plus random phase approximation (RPA) [23][24][25][26][27][28][29][30][31][32] have been widely used to describe the wobbling motion. Recently, based on the cranking mean field and treating the nuclear orientation as collective degree of freedom, a collective Hamiltonian was constructed and applied for the chiral [33] and wobbling modes [34].…”

Section: Introductionmentioning

confidence: 99%

Wobbling motion in Pr135 within a collective Hamiltonian

2016

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The recently reported wobbling bands in 135 Pr are investigated by the collective Hamiltonian, in which the collective parameters, including the collective potential and the mass parameter, are respectively determined from the tilted axis cranking (TAC) model and the harmonic frozen alignment (HFA) formula. It is shown that the experimental energy spectra of both yrast and wobbling bands are well reproduced by the collective Hamiltonian. It is confirmed that the wobbling mode in 135 Pr changes from transverse to longitudinal with the rotational frequency. The mechanism of this transition is revealed by analyzing the effective moments of inertia of the three principal axes, and the corresponding variation trend of the wobbling frequency is determined by the softness and shapes of the collective potential.

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“…The two pictures are schematically illustrated in figure 8. The microscopic QRPA calculations were first performed with the Nilsson potential and the separable quadrupole interactions [72,73,74,75,76]. Later, it has been done with the Woods-Saxon potential and an separable interaction which is determined by the symmetry restoration condition [11].…”

Section: Microscopic Qrpa Analysis For the Wobbling Motionmentioning

confidence: 99%

Quantal rotation and its coupling to intrinsic motion in nuclei

et al. 2016

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Abstract. Symmetry breaking is an importance concept in nuclear physics and other fields of physics. Self-consistent coupling between the mean-field potential and the single-particle motion is a key ingredient in the unified model of Bohr and Mottelson, which could lead to a deformed nucleus as a consequence of spontaneous breaking of the rotational symmetry. Some remarks on the finite-size quantum effects are given. In finite nuclei, the deformation inevitably introduces the rotation as a symmetry-restoring collective motion (Anderson-Nambu-Goldstone mode), and the rotation affects the intrinsic motion. In order to investigate the interplay between the rotational and intrinsic motions in a variety of collective phenomena, we use the cranking prescription together with the quasiparticle random phase approximation. At low spin, the coupling effect can be seen in the generalized intensity relation. A feasible quantization of the cranking model is presented, which provides a microscopic approach to the higher-order intensity relation. At high spin, the semiclassical cranking prescription works well. We discuss properties of collective vibrational motions under rapid rotation and/or large deformation. The superdeformed shell structure plays a key role in emergence of a new soft mode which could lead to instability toward the K π = 1 − octupole shape. A wobbling mode of excitation, which is a clear signature of the triaxiality, is discussed in terms of a microscopic point of view. A crucial role played by the quasiparticle alignment is presented.

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Nuclear wobbling motion and electromagnetic transitions

Cited by 57 publications

References 65 publications

Publisher’s Note: Nuclear moments of inertia and wobbling motions in triaxial superdeformed nuclei [Phys. Rev. C69, 034325 (2004)]

Publisher’s Note: Nuclear moments of inertia and wobbling motions in triaxial superdeformed nuclei [Phys. Rev. C69, 034325 (2004)]

Wobbling motion in Pr135 within a collective Hamiltonian

Quantal rotation and its coupling to intrinsic motion in nuclei

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