The Particle-Hole Interaction in Finite Nuclei

Dickhoff, W. H.

doi:10.1007/978-1-4613-0971-0_23

Cited by 4 publications

(5 citation statements)

References 15 publications

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“…Such an extended RPA procedure has been applied in heavier nuclei with considerable success [225,226]. In order to be relevant for 16 O, this approach requires an extension in which the coherence of the 2p2h states is included in the form of the presence of two-phonon excitations [227]. This corresponds to adding two-phonon configurations to the kernel K ph of the BSE for the ph propagator (21), as shown in Fig.…”

Section: Spectrum Of 16 O and Extension Of Rpamentioning

confidence: 99%

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: Spectrum Of 16 O and Extension Of Rpamentioning

confidence: 99%

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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“…When coupling different phonons, only the lowest few states of 16 O have the right quantum numbers, and energies low enough, to generate two-phonon contributions with unperturbed energy below 20 MeV. These are the only states relevant for our purposes [27]. In practice, the calculations were performed by including, in each channel, all two-phonon configurations up to 30 MeV.…”

Section: Resultsmentioning

confidence: 99%

“…When one applies the Baym-Kadanoff prescription to the latter self-energy, a large set of contributions to K (ph) is generated [38]. According to Ref [27], one may expect that the most important of these terms involve the couplings to two ph phonons as depicted in Fig. 1.…”

Section: A Diagrammatic Contributionsmentioning

confidence: 99%

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Extension of the random phase approximation including the self-consistent coupling to two-phonon contributions

Barbieri

Dickhoff

2003

Phys. Rev. C

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A microscopic formalism is developed that includes the coupling to two particle-hole phonons in the particle-hole propagator by extending the dressed random phase approximation ͑DRPA͒ equation for a finite system. The resulting formalism is applied to study the low-lying excitation spectrum of 16 O. It is observed that the coupling to two-phonon states at low energy generates excited states with quantum numbers that cannot be obtained in the DRPA approach. Nevertheless, the two-phonon states mix weakly with particle-hole configurations and participate only partially in the formation of the lowest-lying positive-parity excited states. The stability of the present calculation is tested vs the truncation of model space. It is demonstrated that when single-particle strength fragmentation is properly considered, the present formalism exhibits convergence with respect to the chosen model space within the confines of the chosen approximation scheme.

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“…These effects allow for the partial inclusion of configurations beyond 2p2h already at the two-phonon level. Moreover, the inclusion of two-phonon excitations represents the first correction to the DRPA equation generated by the Baym-Kadanoff formalism [32]. This consists of diagrams such as those of figure 4 that have been included into the kernel of the BSE.…”

Section: Two-photon Contributions To the Spectrum Of 16 Omentioning

confidence: 99%

Self-consistent Green's function calculations of¹⁶O at small missing energies

Barbieri¹,

Dickhoff²

2005

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

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Calculations of the one-hole spectral function of 16 O for small missing energies are reviewed. The self-consistent Green's function approach is employed together with the Faddeev equations technique in order to study the coupling of both particle-particle and particle-hole phonons to the single-particle motion. The results indicate that the characteristics of hole fragmentation are related to the low-lying states of 16 O and an improvement of the description of this spectrum, beyond the random phase approximation, is required to understand the experimental strength distribution. A first calculation in this direction that accounts for two-phonon states is discussed. §

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The Particle-Hole Interaction in Finite Nuclei

Cited by 4 publications

References 15 publications

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

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

Extension of the random phase approximation including the self-consistent coupling to two-phonon contributions

Self-consistent Green's function calculations of¹⁶O at small missing energies

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The Particle-Hole Interaction in Finite Nuclei

Cited by 4 publications

References 15 publications

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

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

Extension of the random phase approximation including the self-consistent coupling to two-phonon contributions

Self-consistent Green's function calculations of16O at small missing energies

Contact Info

Product

Resources

About

Self-consistent Green's function calculations of¹⁶O at small missing energies