Short-range correlations and one-body properties of nuclei

Stoitsov, M. V.; Antonov, A. N.; Dimitrova, S. S.

doi:10.1007/bf01282896

Cited by 23 publications

(29 citation statements)

References 26 publications

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“…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%

“…They showed that one-body quantities provide an adequate test for the presence of SRC's in nuclei, which indicates that the independent-particle wave functions cannot reproduce simultaneously the form factor and the MD of a correlated system and also the effect of SRC's strongly modify the MD by introducing an important contribution in the region k > 2 fm −1 . Stoitsov et al [17] generalised the model of Jastrow correlations within the LOA of Ref. [28], to heavier nuclei as 16 O, 36 Ar, 40 Ca.…”

Section: Introductionmentioning

confidence: 99%

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

Moustakidis

Massen

2000

Phys. Rev. C

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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

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Moustakidis

Massen

2000

Phys. Rev. C

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“…The aim of the present paper is to apply the procedure suggested in [27] using the model one-body density matrix [28][29][30] in which the short-range correlation terms of the Jastrow correlation method are taken into account. The resulting quantitative estimates allow us to make instructive conclusions for the properties of the overlap functions in comparison with the associated shell-model orbitals and the natural orbitals [31] which are of frequent interest in this context [16,19,20].…”

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confidence: 99%

Restoration of overlap functions and spectroscopic factors in nuclei

1996

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An asymptotic restoration procedure is applied for analyzing bound-state overlap functions, separation energies and single-nucleon spectroscopic factors by means of a model onebody density matrix emerging from the Jastrow correlation method in its lowest order approximation for 16 -15]. The growing interest is motivated in principle by the possibility to clarify the limitation of the nuclear mean-field picture. For instance, the relatively low values of the spectroscopic factors deduced from these experiments show clearly the importance of the short-range correlation effects in nuclei and the necessity of detailed investigations of the high-momentum components of the nucleon wave function which cannot be included within the mean-field approximation [16][17][18][19][20].The underlying relationship between the differential cross-section and the structure of the nuclear wave function is often empirically analyzed using the plane-wave impulse approximation (PWIA). For instance, in this approximation the (e, e′p)-reaction cross-section for a transition to a specific state with quantum numbers α in the residual nucleus has the following form (see e.g. [12,22])The first term K is kinematical factor , σ ep is the offshell electron-proton scattering cross-section [23] and the nuclear structure component | φ α (k) | 2 is the squared Fourier transform of the overlap function between the ground state of the target nucleus Ψ (A) and the final state of the residual nucleus Ψ (A−1) [24,25,16]:a(r) being an annihilation operator for a nucleon with spatial coordinate r (spin and isospin coordinates are not put in evidence). The overlap functions (2) are not orthonormalized. Their norm defines the spectroscopic factor of the level αand the normalized overlap functioñUsually,φ α (r) is calculated from an empirical SaxonWoods potential with a distinct potential radius for each separate transition α. Quantitative estimates are then deduced by fitting both the potential radius and the spectroscopic factor S α in order to obtain a good agreement between the experimentally measured cross sections (dσ/dΩ) exp and those predicted from appropriate calculations for the reaction process.The full theoretical description of the experiments mentioned above has many components. We should like to mention among them the proper account of the reaction mechanism, of the distortion effects (including the distortion due to the final state interaction), of the meson exchange currents contributions, the study of the A-dependence and others (see e.g. [22,12]). Obviously, however, the theoretical estimates of the overlap functions (2) and the spectroscopic factors (3) are of crucial importance for the adequate evaluation of recent (e, e′p), (d, 3 He) and (γ, p) experiments. The problem is that the normalized overlap functions (4) cannot be identified with a phenomenological shell-model single-particle wave function especially for energies farther from the Fermi energy, sometimes even within the valence shell [16]. It is known that generally, the indepe...

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“…This expansion contains one-and two-body terms and a part of the three-body term which was chosen so that the normalization of the wave function was preserved. In LOA the OBDM takes the form [13,14,17] …”

Section: Low Order Approximationmentioning

confidence: 99%

“…These expressions which depend on the HO parameter b and the correlation parameter β are given in Refs. [15][16][17] for FIY and LOA while the ones for FAHT can be found easily from the other expansions.…”

Section: Low Order Approximationmentioning

confidence: 99%

Evaluation of cluster expansions and correlated one-body properties of nuclei

et al. 2001

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Three different cluster expansions for the evaluation of correlated one-body properties of s-p and s-d shell nuclei are compared. Harmonic oscillator wave functions and Jastrow type correlations are used, while analytical expressions are obtained for the charge form factor, density distribution, and momentum distribution by truncating the expansions and using a standard Jastrow correlation function f . The harmonic oscillator parameter b and the correlation parameter β have been determined by a least-squares fit to the experimental charge form factors in each case. The information entropy of nuclei in position-space (Sr) and momentum-space (S k ) according to the three methods are also calculated. It is found that the larger the entropy sum S = Sr + S k (the information content of the system) the smaller the values of χ 2 . This indicates that S is a criterion of the quality of a given nuclear model, according to the maximum entropy principle. Only two exceptions to this rule, out of many cases examined, were found. Finally an analytic expression for the so-called "healing" or "wound" integrals is derived with the function f considered, for any state of the relative two-nucleon motion and their values in certain cases are computed and compared.

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Short-range correlations and one-body properties of nuclei

Cited by 23 publications

References 26 publications

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

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

Restoration of overlap functions and spectroscopic factors in nuclei

Evaluation of cluster expansions and correlated one-body properties of nuclei

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