The hole spectral function and the relationship between overlap functions, natural orbitals and the one-body density matrix in nuclei

Antonov, A. N.; Stoitsov, M. V.; Gaidarov, M. K.; Dimitrova, S. S.; Hodgson, P. E.

doi:10.1088/0954-3899/21/10/007

Cited by 4 publications

(7 citation statements)

References 34 publications

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“…2m (6) and the spectroscopic factor S n0lj = φ n0lj | φ n0lj . The procedure also yields the next bound state overlap functions with the same multipolarity if they exist.…”

Section: Correlated Nuclear Wave Functionsmentioning

confidence: 99%

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Correlation effects in single-particle overlap functions and one-nucleon removal reactions

et al. 1999

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Single-particle overlap functions and spectroscopic factors are calculated on the basis of the one-body density matrices (ODM) obtained for the nucleus 16 O employing different approaches to account for the effects of correlations. The calculations use the relationship between the overlap functions related to bound states of the (A − 1)-particle system and the ODM for the ground state of the A-particle system. The resulting bound-state overlap functions are compared and tested in the description of the experimental data from (p, d) reactions for which the shape of the overlap function is important.

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“…2m (6) and the spectroscopic factor S n0lj = φ n0lj | φ n0lj . The procedure also yields the next bound state overlap functions with the same multipolarity if they exist.…”

Section: Correlated Nuclear Wave Functionsmentioning

confidence: 99%

“…[1][2][3][4] and also in other domains of many-body physics, as e.g. atomic and molecular physics [5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Correlation effects in single-particle overlap functions and one-nucleon removal reactions

et al. 1999

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“…The same one-body operator has been used also in [28] [Eq. ( 14) of this reference] for realistic study of the nuclear transparency and the distorted momentum distributions in the semi-inclusive process 4 He(e, e ′ p)X.…”

Section: A Correlated One-body Density Matrixmentioning

confidence: 99%

“…For instance, NN correlations are responsible for the reduction of the spectroscopic strengths of the nuclear hole states [1,2,3]. The theoretical understanding of this fact requires the knowledge of the removal spectral function which can be represented in a natural way by both overlap functions and single-nucleon spectroscopic factors [4]. They are directly related to observable quantities such as (p, d), (e, e ′ p) and (γ, p) reaction cross sections.…”

Section: Introductionmentioning

confidence: 99%

“…The expressions for ρ(r, r ′ ) are functionals of the spherical harmonic oscillator (HO) orbitals and depend on the HO parameter and the correlation parameter. The values of the parameters which have been used for the closed-shell nuclei 4 He, 16 O and 40 Ca were determined in [20] by a fit of the theoretical charge form factor, derived with the same cluster expansion, to the experimental one. For the open-shell nuclei 12 C, 24 Mg, 28 Si and 32 S new values of these parameters have been obtained to give a better fit to the experimental data [19].…”

Section: Introductionmentioning

confidence: 99%

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Jastrow-type calculations of one-nucleon removal reactions on opens−dshell nuclei

et al. 2002

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Single-particle overlap functions and spectroscopic factors are calculated on the basis of Jastrowtype one-body density matrices of open-shell nuclei constructed by using a factor cluster expansion. The calculations use the relationship between the overlap functions corresponding to bound states of the (A − 1)-particle system and the one-body density matrix for the ground state of the A-particle system. In this work we extend our previous analyses of reactions on closed-shell nuclei by using the resulting overlap functions for the description of the cross sections of (p, d) reactions on the open s-d shell nuclei 24 Mg, 28 Si and 32 S and of 32 S(e, e ′ p) reaction. The relative role of both shell structure and short-range correlations incorporated in the correlation approach on the spectroscopic factors and the reaction cross sections is pointed out.

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One-nucleon removal reactions as a test of overlap functions from the one-body density matrix calculations

Dimitrova

Gaidarov

Antonov

et al. 1997

J. Phys. G: Nucl. Part. Phys.

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Overlap functions and spectroscopic factors extracted from a model one-body density matrix (OBDM) accounting for short-range nucleon - nucleon correlations are used to calculate differential cross sections of (p, d) reactions and the momentum distributions of transitions to single-particle states in and . A comparison between the experimental (p, d) and data, their DWBA and CDWIA analyses and the OBDM calculations is made. Our theoretical predictions for the spectroscopic factors are compared with the empirically extracted ones. It is shown that the overlap functions obtained within the Jastrow correlation method are applicable to the description of the quantities considered.

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The hole spectral function and the relationship between overlap functions, natural orbitals and the one-body density matrix in nuclei

Cited by 4 publications

References 34 publications

Correlation effects in single-particle overlap functions and one-nucleon removal reactions

Correlation effects in single-particle overlap functions and one-nucleon removal reactions

Jastrow-type calculations of one-nucleon removal reactions on opens−dshell nuclei

One-nucleon removal reactions as a test of overlap functions from the one-body density matrix calculations

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