The G-Matrix in Finite Nuclei

Müther, H.; Sauer, P. U.

doi:10.1007/978-1-4613-9335-1_2

Cited by 10 publications

(9 citation statements)

References 16 publications

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“…The sums extend only over those orbitals that are occupied in the model space P and the spectral function S hh (ω) is transformed into the momentum representation by employing two-body harmonic oscillator wave functions Φ JM ab (p 1 , p 2 ). The description of the high-momentum components due to SRC requires the inclusion of a very large number of basis states, at least up to 100hω in a harmonic oscillator basis [222]. However, the description of long-range correlations by solving a Bethe-Salpeter or an RPA equation (29) is not feasible within such a large space.…”

Section: Results For Thementioning

confidence: 99%

“…An oscillator parameter b = 1.76 fm was chosen (corresponding tohω = 13.4 MeV) and all the first four major shells (from 1s to 2p1f ) plus the 1g 9/2 where included. Inside this model space, the interaction used was a Brueckner G-matrix [222] derived from the Bonn-C potential [206]. For the solution of the Faddeev equations a G-matrix evaluated at a fixed starting energy ω =-25 MeV was chosen as a suitable average of the energy the most important 2h1p states that couple to the experimentally observed quasiholes [198].…”

Section: Single-particle Spectral Function Of 16 Omentioning

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

493

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: Results For Thementioning

confidence: 99%

Section: Single-particle Spectral Function Of 16 Omentioning

confidence: 99%

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

Dickhoff

Barbieri

2004

Progress in Particle and Nuclear Physics

493

599

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“…using the standard techniques of non-relativistic BHF calculations for finite nuclei [23]. The Pauli operator Q in this equation is defined in terms of h.o.…”

Section: Local Density Approximationmentioning

confidence: 99%

NNcorrelations and relativistic Hartree-Fock in finite nuclei

Fritz

Müther

1994

Phys. Rev. C

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Two different approximation schemes for the self-consistent solution of the relativistic Brueckner-Hartree-Fock equation for finite nuclei are discussed using realistic One-Boson-Exchange potentials. In a first scheme, the effects of correlations are deduced from a study of nuclear matter and parameterized in terms of an effective σ, ω and π exchange. Employing this effective interaction relativistic Hartree-Fock equations are solved for finite nuclei 16 O, 40 Ca and 48 Ca. In the second approach the effect of correlations are treated in the BruecknerHartree-Fock approximation directly for the finite nuclei, but the modifications of the Dirac spinors in the medium are derived from nuclear matter assuming a local-density approximation. Both approaches yield rather similar results for binding energies and radii in fair agreement with experimental data. The importance of the density dependent correlation effects is demonstrated and different ingredients to the spin-orbit splitting in the shell-model of the nucleus are discussed.

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“…The summation on hole-states shall be restricted to the states of the p-shell while the orbits of the 1s0d shell are considered for the particle states. The matrix elements of the NN interaction are evaluated in a basis of oscillator states (oscillator parameter b=1.76 fm) by solving the Bethe-Goldstone equation [26] for the OBE potentials "A ′′ , "B ′′ and "C ′′ defined in table A.1 of [14]. More details on the evaluation of these matrix elements and a modification of the interaction which ensures that the chosen oscillator basis is identical to the self-consistent Hartree-Fock (HF) basis are discussed in [24].…”

Section: Srpa and Independent Particle Modelmentioning

confidence: 99%

Collective excitations and ground state correlations

1995

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A generalized RPA formalism is presented which treats pp and ph correlations on an equal footing. The effect of these correlations on the single-particle Green function is discussed and it is demonstrated that a self-consistent treatment of the single-particle Green function is required to obtain stable solutions. A simple approximation scheme is presented which incorporates for this self-consistency requirement and conserves the number of particles. Results of numerical calculations are given for 16 O using a G-matrix interaction derived from a realistic One-Boson-Exchange potential.

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The G-Matrix in Finite Nuclei

Cited by 10 publications

References 16 publications

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

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

NNcorrelations and relativistic Hartree-Fock in finite nuclei

Collective excitations and ground state correlations

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