Inability of any hartree-fock approximation to reproduce simultaneously the density and momentum distributions of nuclei

Jaminon, Martine; Mahaux, C.; Ngô, H.

doi:10.1016/0370-2693(85)91372-3

Cited by 49 publications

(41 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Such analyses have been carried out for few-body systems, complex nuclei, and nuclear matter and have focused mainly on the existence of high-momentum components of the nucleon momentum distribution due to NN correlation effects [2][3][4][5][6][7]. Since it is impossible within the MFA to describe simultaneously the density and momentum distributions in nuclei [4,[7][8][9][10][11][12], a consistent analysis of the role of the NN correlations is required using theoretical methods that go beyond the MFA to obtain a successful description of the relevant experiments. The present study uses the results found from studies of y scaling [1][2][3][13][14][15] and superscaling (based on ψ-scaling variable) [15][16][17][18][19][20][21][22][23] obtained from analyses of inclusive electron scattering data.…”

Section: Introductionmentioning

confidence: 99%

Scaling function, spectral function, and nucleon momentum distribution in nuclei

et al. 2011

View full text Add to dashboard Cite

The link between the scaling function extracted from the analysis of (e, e ) cross sections and the spectral function/momentum distribution in nuclei is revisited. Several descriptions of the spectral function based on the independent particle model are employed, together with the inclusion of nucleon correlations, and effects of the energy dependence arising from the width of the hole states are investigated. Although some of these approaches provide rough overall agreement with data, they are not found to be capable of reproducing one of the distinctive features of the experimental scaling function, namely its asymmetry. However, the addition of final-state interactions, incorporated in the present study using either relativistic mean-field theory or via a complex optical potential, does lead to asymmetric scaling functions in accordance with data. The present analysis seems to indicate that final-state interactions constitute an essential ingredient and are required to provide a proper description of the experimental scaling function.

show abstract

Section: Introductionmentioning

confidence: 99%

Scaling function, spectral function, and nucleon momentum distribution in nuclei

et al. 2011

View full text Add to dashboard Cite

show abstract

“…1 been shown [3] that, in principle, it is impossible to describe correctly both momentum and density distributions simultaneously in the Hartree-Fock theory. The reason is that the nucleon momentum distribution is sensitive to short-range and tensor nucleon-nucleon correlations.…”

mentioning

confidence: 99%

Proton momentum distribution in nuclei beyondHe4

et al. 1995

View full text Add to dashboard Cite

“…The experimental evidence obtained from inclusive and exclusive electron scattering on nuclei established the existence of a high-momentum component for momenta k > 2 fm −1 [24][25][26][27]. It has been shown that, in principle, mean field theories can not describe correctly MD and density distribution simultaneously [12] and the main features of MD depend little on the effective mean field considered [15]. The reason is that MD is sensitive to short-range and tensor nucleon-nucleon correlations which are not included in the mean field theories.…”

Section: Introductionmentioning

confidence: 99%

“…In the last two decades, there has been significant effort for the determination of the MD in nuclear matter and finite nucleon systems [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. MD is related to the cross sections of various kinds of nuclear reactions.…”

Section: Introductionmentioning

confidence: 99%

One-body density matrix and momentum distribution ins−pands−dshell nuclei

Moustakidis

Massen

2000

Phys. Rev. C

View full text Add to dashboard Cite

Analytical expressions of the one-and two-body terms in the cluster expansion of the one-body density matrix and momentum distribution of the s-p and s-d shell nuclei with N = Z are derived. They depend on the harmonic oscillator parameter b and the parameter β which originates from the Jastrow correlation function. These parameters have been determined by least squares fit to the experimental charge form factors. The inclusion of short-range correlations increases the high momentum component of the momentum distribution, n(k) for all nuclei we have considered while there is an A dependence of n(k) both at small values of k and the high momentum component. The A dependence of the high momentum component of n(k) becomes quite small when the nuclei 24 Mg, 28 Si and 32 S are treated as 1d-2s shell nuclei having the occupation probability of the 2s-state as an extra free parameter in the fit to the form factors.PACS numbers: 21.45.+v, 21.60.Cs, 21.90.+f

show abstract

Inability of any hartree-fock approximation to reproduce simultaneously the density and momentum distributions of nuclei

Cited by 49 publications

References 16 publications

Scaling function, spectral function, and nucleon momentum distribution in nuclei

Scaling function, spectral function, and nucleon momentum distribution in nuclei

Proton momentum distribution in nuclei beyondHe4

One-body density matrix and momentum distribution ins−pands−dshell nuclei

Contact Info

Product

Resources

About