Determination of Y40 and Y60 components in the shapes of rare earth nuclei

Hendrie, D.L.; Glendenning, Norman K.; Harvey, Brian; Jarvis, O.N.; Duhm, H.H.; Saudinos, J.; Mahoney, J.

doi:10.1016/0370-2693(68)90502-9

Cited by 261 publications

(39 citation statements)

References 6 publications

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“…The extracted β 4 -value for 152 Sm here is similar with both β N 4 = 0.038 ± 0.007 extracted from 14-18 MeV α scattering [16] and 0.048 obtained from 50 MeV α scattering [7], but smaller than both the charge deformation parameter of β C 4 = 0.08 [17] and β 4 = 0.07 (β 2 = 0.287) [8] fig. 3 (solid circles).…”

Section: Experimental Procedures and Data Analysissupporting

confidence: 65%

“…3 (solid circles). Figure 3 also represents some available results for Sm, Er and Yb isotopes, which include the charge deformation β C 4 (α C ) extracted by means of the Coulomb excitation experiments [6,[17][18][19], nuclear deformation β N 4 (α N ) by using the interference effects [16] and inelastic scattering of α particles at energies well above the barrier [6,7]. Also included in this plot are the β 4 of 152,154 Sm, Figure 3: The variation of β 4 with neutron number N for Sm, Er and Yb isotopes by using different experimental methods and Möller's theoretical prediction [10].…”

Section: Experimental Procedures and Data Analysismentioning

confidence: 99%

“…Up to now, the methods of sub-barrier α scattering [6], above-barrier α excitation [6,7], electron scattering [8], and muonic x rays [9] have been used to determine the shape of the deformed nucleus experimentally. Usually, β 4 is difficult to extract experimentally and the obtained results are model-dependent and quite different with big errors.…”

Section: Introductionmentioning

confidence: 99%

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Sub-barrier backward quasielastic scattering: A probe of the hexadecapole deformation

Zhang

Lin

Jia

et al. 2016

EPJ Web of Conferences

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The quasielastic scattering excitation functions for 16 O + 152 Sm, 170 Er and 174 Yb were measured with high precision at a backward angle with small energy intervals at energies near the Coulomb barriers. The hexadecapole deformation (β 4 ) of the target nuclei was extracted by using the lower-energy data and the obtained values agree with the available results reasonably well. This offers a sensitive method to extract β 4 . This method is especially meaningful for the radioactive nuclei considering the low beam intensities.

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Section: Experimental Procedures and Data Analysissupporting

confidence: 65%

Section: Experimental Procedures and Data Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Sub-barrier backward quasielastic scattering: A probe of the hexadecapole deformation

Zhang

Lin

Jia

et al. 2016

EPJ Web of Conferences

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“…[26]. This experiment, which studied a number of deformed rare earth nuclei, showed that the hexadecupole deformations in the region of interest to be very small, and…”

Section: B Rare-earth Nucleimentioning

confidence: 98%

Target-state dependence of cross sections for reactions on statically deformed nuclei

2012

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As part of an effort to understand how neutron-induced reactions on excited states in deformed nuclei differ from those on ground states, we have carried out coupled-channels calculations of the angle-integrated cross sections on the ground and excited states of several actinide nuclei with differing K-values for the ground-state band (; 238 U, K = 0; and). Of particular interest is the compound-nucleus formation cross section. We find that the ratio of the excited to ground-state compound formation cross sections is very close to unity in all cases (within ≈ 0.1%) over the range studied (1 keV to 20 MeV). This result requires that sufficient levels be coupled to ensure convergence (approximately 14 levels for odd-A nuclei). These results are close to the predictions of the adiabatic model for scattering from statically deformed nuclei. This model yields compound formation cross sections, as well as total cross sections, that are independent of both the K-value of the band and the spin of the target state within the band. Our calculations show that the actual cross sections are surprisingly close to the adiabatic limit, even at very low incident energies. We find similar results for statically deformed rare-earth and s-d shell nuclei.

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“…The excitation energies of the 2 + , 4 + , and 6 + states for which differential cross sections are shown are, respectively, 111.2 keV, 364.1 keV, and 748.3 keV. We adopted the values β 2 = 0.236 [10] and β 4 = −0.080 [26] for the quadrupole and hexadecupole deformation parameters, respectively.…”

Section: Initial Resultsmentioning

confidence: 99%

Towards an optical potential for rare-earths through coupled channels

Nobre¹,

Dietrich²,

Herman³

et al. 2014

AIP Conference Proceedings

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Abstract. The coupled-channel theory is a natural way of treating nonelastic channels, in particular those arising from collective excitations, defined by nuclear deformations. Proper treatment of such excitations is often essential to the accurate description of reaction experimental data. Previous works have applied different models to specific nuclei with the purpose of determining angular-integrated cross sections. In this work, we present an extensive study of the effects of collective couplings and nuclear deformations on integrated cross sections as well as on angular distributions in a consistent manner for neutroninduced reactions on nuclei in the rare-earth region. This specific subset of the nuclide chart was chosen precisely because of a clear static deformation pattern. We analyze the convergence of the coupled-channel calculations regarding the number of states being explicitly coupled. Inspired by the work done by Dietrich et al., a model for deforming the spherical KoningDelaroche optical potential as function of quadrupole and hexadecupole deformations is also proposed. We demonstrate that the obtained results of calculations for total, elastic and inelastic cross sections, as well as elastic and inelastic angular distributions correspond to a remarkably good agreement with experimental data for scattering energies above around a few MeV.

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Determination of Y40 and Y60 components in the shapes of rare earth nuclei

Cited by 261 publications

References 6 publications

Sub-barrier backward quasielastic scattering: A probe of the hexadecapole deformation

Sub-barrier backward quasielastic scattering: A probe of the hexadecapole deformation

Target-state dependence of cross sections for reactions on statically deformed nuclei

Towards an optical potential for rare-earths through coupled channels

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