Nuclear sizes and the optical model

Jackson, Daphne F.

doi:10.1088/0034-4885/37/1/002

Cited by 37 publications

(32 citation statements)

References 303 publications

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“…Obviously modification of the pairing potential in medium, due to screening, are expected. For consistency the same screened potential should be used in the T-matrix equation for normal nucleon self-energy, meaning significant complications [36]. Another, question is related to the cause of the reduction of T c .…”

Section: Discussionmentioning

confidence: 99%

Superfluid nuclear matter calculations

Božek¹

1999

Nuclear Physics A

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We present a method to calculate nuclear matter properties in the superfluid phase. The method is based on the use of self-consistent off-shell nucleon propagators in the T-matrix equation. Such a complete treatment of the spectral function, is required below and around $T_c$ due to a pseudogap formation in the spectral function. In the superfluid phase we introduce the anomalous self-energy in the fermion propagators and in the T-matrix equation, consistently with the strong coupling BCS equations. The equations for the nucleon spectral function include both a contribution of condensed and scattering pairs. The method is illustrated by numerical calculations. Above $T_c$ pseudogap formation is visible in the spectral function and below $T_c$ a superfluid gap also appears.Comment: correted version, appendix on numerical methods adde

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Section: Discussionmentioning

confidence: 99%

Superfluid nuclear matter calculations

Božek¹

1999

Nuclear Physics A

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“…The matrix elements defined in Eqs. (12)- (17) and the inverse relations are the starting points for various resummation of diagrams. In the next section we will detail ways of solving equations in the [12] channel, whereas various approximations for the [13] channel and [14] channel such as the TDA and RPA and vertex and propagator renormalization schemes will be discussed in section 4.…”

Section: Expressions For the Wave Operatormentioning

confidence: 99%

“…Several formulations for such expansions of effective operators and interactions exit in the literature, following time-dependent or time-independent perturbation theory [1][2][3][4][5][6]. Formulations like the coupled-cluster method or exponential ansatz [5,[7][8][9][10][11][12][13], the summation of the Parquet class of diagrams [14][15][16][17][18][19][20][21], or the so-calledQ-box method with the folded-diagram formulation of Kuo and co-workers [3,4] have been extensively applied to systems in nuclear, atomic, molecular and solid-state physics. Here we will focus on the above-mentionedQ-box approach and the summation of the so-called Parquet diagrams.…”

Section: Introductionmentioning

confidence: 99%

Effective Interactions for Finite Nuclei

Hjorth‐Jensen

2002

The Nuclear Many-Body Problem 2001

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Various perturbative and non-perturbative many-body techniques are discussed in this work. Especially, we will focus on the summation of so-called Parquet diagrams with emphasis on applications to finite nuclei. Here, the subset of two-body Parquet equations will be discussed. A practical implementation of the corresponding equations for studies of effective interactions for finite nuclei is outlined.

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“…We note that a proper relativistic wave equation would contain coupling to negative energy solutions also, but this we neglect. In the Schrödinger equation, (11), k 2 should be calculated relativistically, so defining the relativistic Schrödinger equation which we have solved using an interaction of the form,…”

Section: Optical Potential -Its Basis and Formmentioning

confidence: 99%

“…Our choice of Gaussian form factors for the optical potential is based in part upon the success of the Chou-Yang model [11] which shows that the charge form factor of the proton determines the momentum transfers in their approach. The proton charge form factor is very well represented by a Gaussian and folding two Gaussians yields again a Gaussian.…”

Section: Optical Potential -Its Basis and Formmentioning

confidence: 99%

Analysis ofNNamplitudes up to 2.5 GeV: An optical model and geometric interpretation

et al. 1998

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We analyse the SM97 partial wave amplitudes for nucleon-nucleon (NN) scattering to 2.5 GeV, in which resonance and meson production effects are evident for energies above pion production threshold. Our analyses are based upon boson exchange or quantum inversion potentials with which the subthreshold data are fit perfectly. Above 300 MeV they are extrapolations, to which complex short ranged Gaussian potentials are added in the spirit of the optical models of nuclear physics and of diffraction models of high energy physics. The data to 2.5 GeV are all well fit. The energy dependences of these Gaussians are very smooth save for precise effects caused by the known ∆ and N ⋆ resonances. With this approach, we confirm that the geometrical implications of the profile function found from diffraction scattering are pertinent in the regime 300 MeV to 2.5 GeV and that the overwhelming part of meson production comes from the QCD sector of the nucleons when they have a separation of their centres of 1 to 1.2 fm. This analysis shows that the elastic NN scattering data above 300 MeV can be understood with a local potential operator as well as has the data below 300 MeV.

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Nuclear sizes and the optical model

Cited by 37 publications

References 303 publications

Superfluid nuclear matter calculations

Superfluid nuclear matter calculations

Effective Interactions for Finite Nuclei

Analysis ofNNamplitudes up to 2.5 GeV: An optical model and geometric interpretation

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