Publisher’s Note: Nuclear moments of inertia and wobbling motions in triaxial superdeformed nuclei [Phys. Rev. C<b>69</b>, 034325 (2004)]

Matsuzaki, Masayuki; Shimizu, Yoshifumi R.; Matsuyanagi, Kenichi

doi:10.1103/physrevc.69.049901

Cited by 31 publications

(78 citation statements)

References 15 publications

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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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Section: Introductionmentioning

confidence: 99%

Wobbling motion in Pr135 within a collective Hamiltonian

2016

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“…The QRPA moments of inertia automatically take into account this effect. Thus, the alignment effect is crucial for the appearance of the wobbling mode, which was first pointed out in references [74,75].…”

Section: Microscopic Qrpa Analysis For the Wobbling Motionmentioning

confidence: 99%

“…It should be noticed that the three moments of inertia are assumed to be independent of spin I in the rotor model or the particle-rotor model. In reality, however, the microscopically calculated QRPA moments of inertia change as functions of I, although their dependencies on I are not so strong in most cases [72,73,74,75,11]. One should take this into account in order to study precisely how the wobbling frequency changes as a function of spin.…”

Section: Microscopic Qrpa Analysis For the Wobbling Motionmentioning

confidence: 99%

“…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%

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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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“…By using the microscopic framework, the randomphase approximation (RPA), we have studied the wobbling phonon in the Hf-Lu region [3,4]. The precession bands are rotational bands excited on the prolate high-K isomers and have been known for many years, see e.g.…”

Section: Introductionmentioning

confidence: 99%

Precession mode on high-K configurations: non-collective axially-symmetric limit of wobbling motion

Shimizu¹,

Matsuzaki²,

Matsuyanagi³

2006

Phys. Scr.

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We have studied the precession mode, the rotational excitation built on the high-K isomeric state, in comparison with the recently identified wobbling mode. The randomphase-approximation (RPA) formalism, which has been developed for the nuclear wobbling motion, is invoked and the precession phonon is obtained by the non-collective axiallysymmetric limit of the formalism. The excitation energies and the electromagnetic properties of the precession bands in 178 W are calculated, and it is found that the results of RPA calculations well correspond to those of the rotor model; the correspondence can be understood by an adiabatic approximation to the RPA phonon. As a by-product, it is also found that the problem of too small out-of-band B(E2) in our previous RPA wobbling calculations can be solved by a suitable choice of the triaxial deformation which corresponds to the one used in the rotor model.

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

Cited by 31 publications

References 15 publications

Wobbling motion in Pr135 within a collective Hamiltonian

Wobbling motion in Pr135 within a collective Hamiltonian

Quantal rotation and its coupling to intrinsic motion in nuclei

Precession mode on high-K configurations: non-collective axially-symmetric limit of wobbling motion

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