Semiclassical unified description of wobbling motion in even-even and even-odd nuclei

Râduţâ, A. A.; Poenaru, R.; Ixaru, L.Gr.

doi:10.1103/physrevc.96.054320

Cited by 22 publications

(35 citation statements)

References 76 publications

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“…Frauendorf and Dönau [9] interpreted this behavior as the consequence of the perpendicular orientation of the odd particle's angular momentum to the rotational axis, and they suggested to name the phenomenon as "transverse wobbling". This interpretation differs from that previously published for the Lu and Ta isotopes, and gener-ated great theoretical interest to clarify the situation using different models [10][11][12][13][14][15][16][17][18][19]. Very recently another type of the wobbling motion has been claimed in 133 La, the "longitudinal wobbling", where the wobbling energy was found to increase with increasing spin [20].…”

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confidence: 86%

Experimental Evidence for Transverse Wobbling in Pd105

Tímár¹,

Chen²,

Kruzsicz³

et al. 2019

Phys. Rev. Lett.

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New rotational bands built on the ν(h 11/2 ) configuration have been identified in 105 Pd. Two bands built on this configuration show the characteristics of transverse wobbling: the ∆I=1 transitions between them have a predominant E2 component and the wobbling energy decreases with increasing spin. The properties of the observed wobbling bands are in good agreement with theoretical results obtained using constrained triaxial covariant density functional theory and quantum particle rotor model calculations. This provides the first experimental evidence for transverse wobbling bands based on a one-neutron configuration, and also represents the first observation of wobbling motion in the A∼100 mass region.PACS numbers: 21.10.Hw,21.10. Re,21.60.Ev,23.20.Lv,27.60.+j Nuclear wobbling motion was initially discussed by Bohr and Mottelson [1]. This type of rotation is predicted to occur in triaxially deformed nuclei. The nucleus rotates around the principal axis having the largest moment of inertia and this axis executes harmonic oscillations about the space-fixed angular momentum vector. Its analog in classical mechanics is the motion of a free asymmetric top, while in quantal systems a corresponding example would be the rotation of molecules having different moments of inertia for the three principal axes. In nuclei, the expected energy spectra related to this motion are characterized by a series of rotational E2 bands corresponding to the different oscillation quanta (n). The signature quantum number of two consecutive bands is different, thus the yrast and yrare bands (corresponding to n=0 and n=1, respectively), look like signature partner bands with large signature splitting. The yrare band decays by ∆I=1 M1+E2 transitions to the yrast band. However, contrary to the case of signature partners, the multipole mixing ratios are very large, and the transitions have predominantly E2 character. Furthermore, the energy separation between the yrare and yrast

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mentioning

confidence: 86%

Experimental Evidence for Transverse Wobbling in Pd105

Tímár¹,

Chen²,

Kruzsicz³

et al. 2019

Phys. Rev. Lett.

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“…The semiclassical procedure amounts to ascribing a time-dependent variational principle to the quantum Hamiltonian, which is consequently dequantized into a classical energy function. A similar procedure was already successfully applied for the description of wobbling excitations in odd mass nuclei [38,39]. By choosing an appropriate variational function one can select a limited set of degrees of freedom relevant for the studied phenomenon instead of treating the full space.…”

Section: Introductionmentioning

confidence: 99%

Semiclassical description of chiral geometry in triaxial nuclei

Budaca

2018

Phys. Rev. C

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A triaxial particle-rotor Hamiltonian for three mutually perpendicular angular momentum vectors corresponding to two high-j quasiparticles and the rotation of a triaxial collective core, is treated within a time-dependent variational principle. The resulting classical energy function is used to investigate the rotational dynamics of the system. It is found that the classical energy function exhibits two minima starting from a critical angular momentum value which depends on the singleparticle configuration and the asymmetry measure γ. The emergence of the two minima is attributed to the breaking of the chiral symmetry. Quantizing the energy function for a given angular momentum, one obtains a Schrödinger equation with a coordinate dependent mass term for a symmetrical potential which changes from a single to a double well shape as the angular momentum pass the critical value. The energies of the chiral partner bands for a given angular momentum are then given by the lowest two eigenvalues. The procedure is exemplified for maximal triaxiality and two h 11/2 quasiparticles, with the results used for the description of the chiral doublet bands in 134 Pr.

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“…[0] In the expression of H from Ref. [21] a lamentable error appeared. Indeed, in the second last line of Eq.…”

Section: Brief Review Of the Semi-classical Approachmentioning

confidence: 99%

Wobbling motion in $^{165,167}$Lu within a semi-classical framework

Raduta,

Poenaru,

Raduta

2018

Preprint

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The results obtained for 165,167 Lu with a semi-classical formalism are presented. Properties like excitation energies for the super-deformed bands TSD1, TSD2, TSD3, in 165 Lu, and TSD1 and TSD2 for 167 Lu, inter-and intra-band B(E2) and B(M1), the mixing ratios, transition quadrupole moments are compared either with the corresponding experimental data or with those obtained for 163 Lu. Also alignments, dynamic moments of inertia, relative energy to a reference energy of a rigid symmetric rotor with an effective moment of inertia and the angle between the angular momenta of the core and odd nucleon were quantitatively studied. One concludes that the semi-classical formalism provides a realistic description of all known wobbling features in 165,167 Lu.

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Semiclassical unified description of wobbling motion in even-even and even-odd nuclei

Cited by 22 publications

References 76 publications

Experimental Evidence for Transverse Wobbling in Pd105

Experimental Evidence for Transverse Wobbling in Pd105

Semiclassical description of chiral geometry in triaxial nuclei

Wobbling motion in $^{165,167}$Lu within a semi-classical framework

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