A deformed model approach to elastic magnetic scattering from 29Si

Graca, E. L.; Sarriguren, P.; Berdichevsky, D. B.; Sprung, D. W. L.; Guerra, E. Moya de; Nishimura, M.

doi:10.1016/0375-9474(88)90065-6

Cited by 14 publications

(17 citation statements)

References 6 publications

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“…For a better description of low-lying excited states in spherical even-even nuclei, it would be desirable to add noncollective timereversal-breaking n-quasiparticle states to the GCM basis. [58][59][60][61][62][63][64][65][66][67][68] Ni, in comparison with available data [9]. [58][59][60][61][62][63][64][65][66][67][68] Ni, in comparison with available data, taken from Ref.…”

Section: Discussionmentioning

confidence: 97%

“…17. The shape of the TCD of [58][59][60][61][62][63][64] Ni is reproduced by the GCM calculation. However, we overestimate the height of the surface peak and/or the tail part of the TCD.…”

Section: Application To Even-mass 58-68 Nimentioning

confidence: 96%

“…16, the neutron and proton densities for the transition from the 2 + 1 state to the ground state are shown for [58][59][60][61][62][63][64] Ni. The radial profiles are similar for all isotopes, with a large peak at large radii and a smaller one at low values of r. The height of the first peak for the neutron transition density decreases with N and nearly disappears at N = 40, in contrast with the second peak.…”

Section: Application To Even-mass 58-68 Nimentioning

confidence: 99%

“…To limit the computational cost, the wave functions were either restricted to be of a simple form [56] or the symmetry restoration was approximated in one way or the other [44,46,[57][58][59][60][61][62]. For a presentation of the main aspects of these developments, see the review [63].…”

Section: Introductionmentioning

confidence: 99%

“…III, we present an illustrative calculation of both elastic and inelastic scattering form factors for 24 Mg. Section IV details an application to the transition densities in even-mass [58][59][60][61][62][63][64][65][66][67][68] Ni. The static and dynamic deformation effects on nuclear charge densities, transition charge densities, and form factors will be discussed in detail.…”

Section: Introductionmentioning

confidence: 99%

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Beyond-mean-field study of elastic and inelastic electron scattering off nuclei

2015

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Background: Electron scattering provides a powerful tool to determine charge distributions and transition densities of nuclei. This tool will soon be available for short-lived neutron-rich nuclei. Purpose: Beyond-mean-field methods have been successfully applied to the study of excitation spectra of nuclei in the whole nuclear chart. These methods permit determination of energies and transition probabilities starting from an effective in-medium nucleon-nucleon interaction but without other phenomenological ingredients. Such a method has recently been extended to calculate the charge density of nuclei deformed at the mean-field level of approximation [J. M. Yao et al., Phys. Rev. C 86, 014310 (2012)]. The aim of this work is to further extend the method to the determination of transition densities between low-lying excited states. Method: The starting point of our method is a set of Hartree-Fock-Bogoliubov wave functions generated with a constraint on the axial quadrupole moment and using a Skyrme energy density functional. Correlations beyond the mean field are introduced by projecting mean-field wave functions on angular momentum and particle number and by mixing the symmetry-restored wave functions. Results: We give in this paper detailed formulas derived for the calculation of densities and form factors. These formulas are rather easy to obtain when both initial and final states are 0 + states but are far from being trivial when one of the states has a finite J value. Illustrative applications to 24 Mg and to the even-mass 58-68 Ni have permitted an analysis of the main features of our method, in particular the effect of deformation on densities and form factors. An illustrative calculation of both elastic and inelastic scattering form factors is presented. Conclusions: We present a very general framework to calculate densities of and transition densities between low-lying states that can be applied to any nucleus. Achieving better agreement with the experimental data will require improving the energy density functionals that are currently used and also introducing quasiparticle excitations in the mean-field wave functions.The reduced transition density ρ J f μ f J i μ i ,L (r) with angular momentum transfer L is therefore given byBy substituting the expression for ρ α f α i (r) into Eqs. (A8)-(A10), one finds as an expression for the reduced transition density024301-14 BEYOND-MEAN-FIELD STUDY OF ELASTIC AND . . . PHYSICAL REVIEW C 91, 024301 (2015) With the help of the orthogonality relation of spherical harmonics, dr Y LM (r) Y λν (r) = (−1) −M δ Lλ δ M−ν , and the symmetry relation J f M f L − M|J i M i = (−1) 2L−M+J i −J f J î J f J i M i LM|J f M f of the Clebsch-Gordan coefficients, the reduced transition density can be simplified to ρ J f μ f J i μ i ,L (r) = (−1) J i −J fĴ 2 f J 2

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Section: Discussionmentioning

confidence: 97%

“…17. The shape of the TCD of [58][59][60][61][62][63][64] Ni is reproduced by the GCM calculation. However, we overestimate the height of the surface peak and/or the tail part of the TCD.…”

Section: Application To Even-mass 58-68 Nimentioning

confidence: 96%