The nuclear scissors mode in a solvable model

Balbutsev, E. B.; Schuck, Peter

doi:10.1016/s0375-9474(03)01078-9

Cited by 31 publications

(63 citation statements)

References 42 publications

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“…It is worth noting that contrary to the case without pairing [1] the energy of the scissors mode does not go to zero for deformation δ = 0. However this does not mean any contradiction with the known quantum mechanical statement that the rotation of spherical nuclei is impossible.…”

Section: Eigenfrequenciesmentioning

confidence: 76%

“…as it was shown in our previous publications [1,22,23]. In the case without pairing, this restricted information can be extracted from the TDHF equations and becomes exact only for the harmonic oscillator with multipole-multipole residual interactions.…”

Section: Phase Space Moments Of Tdhfb Equationsmentioning

confidence: 76%

“…The detailed description of its use within the framework of WFM method can be found in [1], so we only present the final results.…”

Section: Transition Probabilitiesmentioning

confidence: 99%

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Nuclear scissors mode with pairing

et al. 2008

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The coupled dynamics of the scissors mode and the isovector giant quadrupole resonance are studied using a generalized Wigner function moments method taking into account pair correlations. Equations of motion for angular momentum, quadrupole moment and other relevant collective variables are derived on the basis of the time dependent Hartree-Fock-Bogoliubov equations. Analytical expressions for energy centroids and Nevertheless, this description was not complete, because pairing was not taken into account.It is well known [2], that pairing is very important for the correct quantitative description of the scissors mode. Moreover, its role is crucial for an explanation of the empirically observed deformation dependence of E sc and B(M1) sc .The prediction of the scissors mode was inspired by the geometrical picture of a counterrotating oscillation of the deformed proton density against the deformed neutron density [3,4].Thus, as it is seen from its physical nature, the scissors mode can be observed only in deformed nuclei. Therefore, quite naturally, the question of the deformation dependence of its properties (for example, energy E sc and B(M1) sc value) arises. However, during the first years after its discovery in 156 Gd [5] "nearly all experimental data were limited to nuclei of about the same deformation (δ ≈ 0.20 − 0.25), and the important aspect of orbital M1 strength dependence on δ has not yet been examined", see ref.[6].The first investigations of the δ-dependence of E sc and B(M1) sc were performed by W. Shortly afterwards it was discovered [9,10], that in even-even nuclei the total low-energy magnetic dipole strength is closely related to the collective E2 strength of the 2 + 1 state and, thus, depends quadratically on the nuclear deformation parameter.Later J. Enders et al. [11] made a theoretical analysis of experimental data on the scissors

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Section: Eigenfrequenciesmentioning

confidence: 76%

Section: Phase Space Moments Of Tdhfb Equationsmentioning

confidence: 76%

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Nuclear scissors mode with pairing

et al. 2008

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“…It was shown in [1] that the curve is an ellipse for the scissors mode and it is a hyperbola for Comparing the components ξ y = (b − a)z, ξ z = (b + a)y with ξ 2 , ξ 3 in (103) we find…”

Section: Wfm Methodsmentioning

confidence: 94%

“…The WFM method does not meet any difficulties and continues to be a convenient and powerful tool for the description of the collective motion what was demonstrated by calculations with Skyrme forces [6]. For an illustration of this property of the WFM method, currents are a good example, because the procedure of their construction with WFM is general enough to be used for any type of force (see section 6.1 below and [1]). …”

Section: Green's Function Methodsmentioning

confidence: 99%