Effects of short-range correlations on the self-energy in the optical model of finite nuclei

Borromeo, M.; Bonatsos, Dennis; Müther, H.; Polls, A.

doi:10.1016/0375-9474(92)90266-m

Cited by 38 publications

(71 citation statements)

References 26 publications

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“…The approach introduced in Refs. [202,183,150] computes the self-energy for finite nuclei in terms of a G-matrix which is obtained as a solution of the Bethe-Goldstone equation for nuclear matter…”

Section: Depletion Due To Short-range and Tensor Correlationsmentioning

confidence: 99%

“…The plane waves associated with the particle states in the intermediate states are properly orthogonalized to the bound sp states following the techniques discussed in Ref. [202]. The 2h1p contribution to the imaginary part W 2h1p ℓ 1 j 1 (p 1 , p ′ 1 ; E) can be calculated in a similar way [202].…”

Section: Depletion Due To Short-range and Tensor Correlationsmentioning

confidence: 99%

“…From the comparison one can infer that at the quasihole energies no substantial change in the wave functions occurs and that the Hartree-Fock wave function is a good approximation. It should be further noted that the wave function of a Woods-Saxon potential, which is constructed as the local equivalent of the Hartree-Fock potential [202], is indistinguishable from the Hartree-Fock wave function. This suggests that the explicit inclusion of short-range correlations does not lead to the strong suppression of the wave function in the interior of the nucleus as has been suggested by Refs.…”

Section: Depletion Due To Short-range and Tensor Correlationsmentioning

confidence: 99%

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Self-consistent Green's function method for nuclei and nuclear matter

Dickhoff

Barbieri

2004

Progress in Particle and Nuclear Physics

500

599

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Recent results obtained by applying the method of self-consistent Green's functions to nuclei and nuclear matter are reviewed. Particular attention is given to the description of experimental data obtained from the (e,e ′ p) and (e,e ′ 2N) reactions that determine one and two-nucleon removal probabilities in nuclei since the corresponding amplitudes are directly related to the imaginary parts of the single-particle and two-particle propagators. For this reason and the fact that these amplitudes can now be calculated with the inclusion of all the relevant physical processes, it is useful to explore the efficacy of the method of self-consistent Green's functions in describing these experimental data. Results for both finite nuclei and nuclear matter are discussed with particular emphasis on clarifying the role of short-range correlations in determining various experimental quantities. The important role of long-range correlations in determining the structure of lowenergy correlations is also documented. For a complete understanding of nuclear phenomena it is therefore essential to include both types of physical correlations. We demonstrate that recent experimental results for these reactions combined with the reported theoretical calculations yield a very clear understanding of the properties of all protons in the nucleus. We propose that this knowledge of the properties of constituent fermions in a correlated many-body system is a unique feature of nuclear physics.

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Section: Depletion Due To Short-range and Tensor Correlationsmentioning

confidence: 99%

Section: Depletion Due To Short-range and Tensor Correlationsmentioning

confidence: 99%

Section: Depletion Due To Short-range and Tensor Correlationsmentioning

confidence: 99%

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Self-consistent Green's function method for nuclei and nuclear matter

Dickhoff

Barbieri

2004

Progress in Particle and Nuclear Physics

500

599

View full text Add to dashboard Cite

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“…Alternatively, one could have defined a so-called G-matrix in momentum space as effective interaction [26,27,28,39]. The latter introduces a dependence on the chosen starting energy and a reference to a given Fermi energy.…”

Section: Renormalized Nucleon-nucleon Interactionmentioning

confidence: 99%

“…In order to remove these divergencies, renormalized nucleon-nucleon interactions have been constructed from the Brueckner G-matrix approach [26,27,28]. The G-matrix is a soft interaction, which is obtained by resumming in-medium particle-particle correlations.…”

Section: Introductionmentioning

confidence: 99%

Gamow shell model and realistic nucleon-nucleon interactions

2006

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We present a new and efficient method to obtain a Gamow shell-model basis and matrix elements generated by realistic nucleon-nucleon interactions. We derive a self-consistent Hartree-Fock potential from the renormalized N 3 LO interaction model. The corresponding Gamow one-body eigenstates are generated in a plane wave basis in order to build a Gamow shell-model set of basis states for the closed shell nuclei 4 He and 16 O. We address also the problem of representing a realistic nucleon-nucleon interaction in a two-particle Berggren basis in the laboratory frame. To achieve this, an expansion of matrix elements of the residual nucleon-nucleon interaction in a finite set of harmonic oscillator wave functions is used. We show that all loosely bound and narrow resonant states converge surprisingly fast. Even broad resonances in these two-particle valence systems converge within a reasonable number of harmonic oscillator functions. Examples of 6 He and 18 O Gamow shell-model calculations using 4 He and 16 O as closed shell cores are presented. This procedure allows Gamow shell-model calculations to be performed with all realistic nucleon-nucleon interactions and with either momentum or position space representations for the Gamow basis. Perspectives for nuclear structure calculations of dripline nuclei are outlined.

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