Rotation-vibration interaction in non-axial even nuclei

Davydov, A.S.; Chaban, A. A.

doi:10.1016/0029-5582(60)90191-7

Cited by 435 publications

(141 citation statements)

References 9 publications

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“…Band L5 has a higher alignment than L1, which indicates an extra h 11/2 proton. For this reason we interpret it as πF −1 C. All the bands associated with configurations involving only protons display a regular rotational sequence with a similar value of J (2) as the reference L1. • .…”

Section: Zero Pairing Csm Calculationsmentioning

confidence: 96%

“…We tentatively adopt the πF −1 I ⊗ ν0 assignment, because the calculated alignment and Routhian correlate better with experiment, and the assignment is consistent with the interpretation of D6, which decays into D4, as generated by the alignment of the two h 11/2 neutrons. However, the non-observation of cross-over quadrupole transitions in band D4 put a limit of the B(M 1)/B(E2) > 500 µ 2 N /(eb) 2 , which speaks in favor of the πF…”

Section: Rpa Calculations For Wobblingmentioning

confidence: 99%

“…The possibility of soft and rigid triaxiality has been proposed very early [1,2], and many theoretical and experimental studies have been devoted to this intriguing phenomenon since then. More recently two unique fingerprints of triaxiality in nuclei have been intensively studied: the wobbling motion [3] and the dynamic chirality [4,5].…”

Section: Introductionmentioning

confidence: 99%

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Tilted axis rotation, candidates for chiral bands, and wobbling motion in138Nd

et al. 2012

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High-spin states in138 Nd were investigated using the reaction 94 Zr( 48 Ca,4n), detecting coincident γ-rays with the gasp spectrometer. A rich level scheme was constructed including 4 bands of negative parity at low spins, 8 bands of dipole transitions and 8 bands of quadrupole transitions at medium spins. The Cranked Shell Model and the Tilted Axis Cranking model are used to assign configurations to the observed bands, where zero pairing is assumed. For selected configurations the case of finite pairing is also considered. A consistent notation for configuration assignment is introduced, which applies both for zero and finite pairing. The observed bands are interpreted as rotation around the short and long principal axes (quadrupole bands), as well as around a tilted axis (dipole bands). The dipole bands have an intermediate character, between magnetic and collective electric rotation. A pair of dipole bands are candidates for chiral partners, the first case this property has been identified in an even-even nucleus. The possible existence of the wobbling mode at low deformation and medium spins is discussed. The consistent interpretation of the multitude of observed bands strongly supports the existence of stable triaxial deformation at medium spins in 138 Nd.

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Section: Zero Pairing Csm Calculationsmentioning

confidence: 96%

Section: Rpa Calculations For Wobblingmentioning

confidence: 99%

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Tilted axis rotation, candidates for chiral bands, and wobbling motion in138Nd

et al. 2012

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“…The first study in this direction brought to light the Davydov-Chaban model for rotation-vibration interaction in non-axial nuclei [20].…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for the Davydov-Chaban Hamiltonian with a sextic potential forγ=30∘

Buganu¹,

Budaca²

2015

Phys. Rev. C

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An analytical solution for the Davydov-Chaban Hamiltonian with a sextic oscillator potential for the variable β and γ fixed to 30 • , is proposed. The model is conventionally called Z(4)-Sextic.For the considered potential shapes the solution is exact for the ground and β bands, while for the γ band an approximation is adopted. Due to the scaling property of the problem the energy and B(E2) transition ratios depend on a single parameter apart from an integer number which limits the number of allowed states. For certain constraints imposed on the free parameter, which lead to simpler special potentials, the energy and B(E2) transition ratios are parameter independent. The energy spectra of the ground and first β and γ bands as well as the corresponding B(E2) transitions, determined with Z(4)-Sextic, are studied as function of the free parameter and presented in detail for the special cases. Numerical applications are done for the 128,130,132 Xe and 192,194,196 Pt isotopes, revealing a qualitative agreement with experiment and a phase transition in Xe isotopes.

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“…The eigenvalues of this Hamiltonian were obtained to the 0-th order of l for Tr(4) to be (3) where ho0, mb0, mg0, and g0 are the model parameters, which are adjusted so as to reproduce experimentallyknown band structures. The ho0 parameter denotes an overall scale factor of the level energies, mb0 and mg0 are related to the elasticity constans of b-and g-vibrations, respectively, and g0 is the equilibrium point of the gvibration.…”

Section: Basic Formulaementioning

confidence: 99%

Soft-rotator Model Analysis of Collective Band Structures of Even-even Actinide Nuclei.

Iwamoto

Chiba

Kuwata

1997

J. Nucl. Sci. Technol.

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Positive-parity collective band structures of low-lying levels in even-even actinide nuclei were analyzed based on an extension of the Davydov-Chaban soft rotator model, which accounts for the rotation and b-and g -vibrations of even-even nuclei with non-axial quadrupole deformation . The parameters to reproduce the 4-bands, i.e., the ground-state rotational band, the Kr_??_2 band, and the nb=1 and n-g=1 bands, were obtained, and their systematic trends were deduced. Based on this result the unassigned band having a sequence of 0+, 2+, 4+,.., which is observed in many actinide nuclei, was assigned likely to be the nb=1 band. The systematic trends of the parameters found in this work could be a guide to estimate the collective band structure of nuclei for which such data are poorly known. The correct assignment of collective levels was found to be important for the calculation of neutron inelastic scattering cross sections.

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Rotation-vibration interaction in non-axial even nuclei

Cited by 435 publications

References 9 publications

Tilted axis rotation, candidates for chiral bands, and wobbling motion in138Nd

Tilted axis rotation, candidates for chiral bands, and wobbling motion in138Nd

Analytical solution for the Davydov-Chaban Hamiltonian with a sextic potential forγ=30∘

Soft-rotator Model Analysis of Collective Band Structures of Even-even Actinide Nuclei.

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