<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>E</mml:mi><mml:mn>2</mml:mn><mml:mn /></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>E</mml:mi><mml:mn>4</mml:mn><mml:mn /></mml:math>Transition Moments and Equilibrium Deformations in the Actinide Nuclei

Bemis, C.E.; McGowan, F.K.; Ford, James L.; Milner, W.T.; Stelson, P.H.; Robinson, R.L.

doi:10.1103/physrevc.8.1466

Cited by 137 publications

(46 citation statements)

References 36 publications

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“…Here and further the summation runs over positive-K states only 9 One can see from (29) that the (p-dependence disappeared, as well as the cross terms AA' -a typical feature for any axially symmetric density. After straightforward differentiation of the density (29), using well-known properties of the Hermite and Laguerre polynomials [25] …”

Section: N~=[nr!/(n~+lai)!] 1/2 N~=l/(]/~2"~n~!) L/a Ta(cp)=exp(iacmentioning

confidence: 97%

Microscopic calculation of the restoring force for scissor isovector vibrations

Nojarov

Bochnacki

Faessler

1986

Z. Physik A - Atomic Nuclei

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The restoring force for scissor isovector vibrations is calculated microscopically with the wave functions of an axially symmetric Woods-Saxon potential from a density-dependent symmetry energy. The experimental energies of the low-lying magnetic dipole states in rare-earth nuclei are well reproduced. It is found that only outer particles, which contribute to the nuclear moment of inertia, take part in this collective vibration. They are about half of the total number of nucleons.

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Section: N~=[nr!/(n~+lai)!] 1/2 N~=l/(]/~2"~n~!) L/a Ta(cp)=exp(iacmentioning

confidence: 97%

Microscopic calculation of the restoring force for scissor isovector vibrations

Nojarov

Bochnacki

Faessler

1986

Z. Physik A - Atomic Nuclei

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“…method giving the parameters of Tables 2-4 when taking the coupling of the first three states into account only, are drawn as full lines [21]. b From Bemis et al [8]. c From Meller et al [2].…”

Section: He Deformation Parametersmentioning

confidence: 99%

“…method so far was used only by Hendrie et al [9] in the analysis of the 4He-scattering on 238U. The values determined by the first method are systematically larger, even if quantal corrections have been applied I- 4,6,8], than the values obtained from the second procedure and those determined from theory [2,10]. A possible explanation of this difference in the deformation parameters may be the different reaction mechanisms [1] or may be different deformations of the mass and the charge distributions in the nucleus.…”

Section: Introductionmentioning

confidence: 98%

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Elastic and inelastic4He-scattering on208Pb,232Th and234, 236, 238U

et al. 1976

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The angular distributions of the elastic 4He-scattering on 2~and the elastic and inelastic ~He-scattering on 232Th and 234'236'238U at E4He=50MeV were measured between 20 ~ and 60 ~ The 4He-particles were detected with a position sensitive detector in the focal plane of a split-pole spectrograph. The aim was to get data to determine the deformation parameters of the equilibrium states by coupled channels calculations.

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“…At the same time new experiments have been found to be extremely useful in the determination of multipole deformations of nuclei in this region. These experiments included inelastic scattering of protons [2], a-particles [3,4], neutrons [5] and electrons I-6] as well as Coulomb excitation [1][2][3][4][5][6][7]8]. The X-ray emission of muonic atoms in the same nuclear region has also been studied [9].…”

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confidence: 99%

Determination of the multipole deformation parameters of238U by 22MeV proton inelastic scattering

et al. 1979

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Inelastic scattering 22 MeV proton from 238U has been studied. Angular distributions of the states of the rotational band have been measured. Coupled-channel analysis allows determination of the deformation parameters/32,/34 and/36. These values are somewhat in disagreement with other experimental results.Recent Hartree-Fock calculations of nuclear shapes have focussed renewed interest on the determination of nuclear shapes. In particular calculations have been systematically made in the actinide region by Quentin [1]. At the same time new experiments have been found to be extremely useful in the determination of multipole deformations of nuclei in this region. These experiments included inelastic scattering of protons [2], a-particles [3,4], neutrons [5] and electrons I-6] as well as Coulomb excitation 1-7, 8]. The X-ray emission of muonic atoms in the same nuclear region has also been studied [9]. The rotational spectrum of uranium allows the use of the simple rotor model with a radius given in terms of the usual deformation parameters /3L by R = R 0 (1 + fi2 ]120 + fi4 Y4o + fi6 Y60), where the YLO are the spherical harmonics. Table 1 presents the most recent values of these deformation parameters deduced in this model. Analysing these results, there appear to be important disagreements, in particular between the proton scattering result [2] and the others. In view of this disagreement, we have measured angular distributions for the z3SU(p,p') reaction at 22MeV incident proton energy. * On leave from Alberta University, Edmonton, CanadaThe experiment was performed using the Orsay MP Tandem. The target was 100~tg.cm -z of natural uranium obtained by evaporation on a 20 gg. cm-2 carbon backing. The scattered protons were detected using a position sensitive silicon counter of 2,000 ~tm thickness at the focal plane of a split-pole spectrograph. The small energy spread of the incident beam and the high resolution of the detection system yielded an overall resolution of 10 keV at forward angles. The measurements are limited to angles greater than 25 ~ for the other excited states. This limit is due to the contamination of the target by oxygen, nitrogen and carbon. The angular distribution for all states were measured up to 100 ~ . The angular distributions have been measured for the 0 +, 2 +, 4 + and 6 + members of the ground state rotational band. A coupled-channel analysis was performed using the ECIS code [10] of Raynal. The interaction potential arises from the deformation of the real and imaginary central potential, the spinorbit potential as derived by Sherif and Blair (full Thomas form) and the Coulomb potential. Initial optical-model parameters for the coupled-channel calculations were obtained by fitting only the elastic scattering cross-sections using the search code Magali of Raynal [10]. These parameters were then adjusted to preserve the fits to the elastic crosssection as coupling was added in the coupled-channel

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E2andE4Transition Moments and Equilibrium Deformations in the Actinide Nuclei

Cited by 137 publications

References 36 publications

Microscopic calculation of the restoring force for scissor isovector vibrations

Microscopic calculation of the restoring force for scissor isovector vibrations

Elastic and inelastic4He-scattering on208Pb,232Th and234, 236, 238U

Determination of the multipole deformation parameters of238U by 22MeV proton inelastic scattering

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