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Microscopic analysis of two-body correlations in light nuclei

Nuclear Theory · Submitted 25 Nov 1993

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim However, the proper description of relaxation or damping phenomena is found to require both types of diagrams as well as the mixed terms simultaneously.

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arXiv IDnucl-th/9311031 (version 1)
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CitationAlfred Pfitzner, Andreas Peter, Joern M. Haeuser, Wolfgang Cassing. "Microscopic analysis of two-body correlations in light nuclei." arXiv:nucl-th/9311031 (1993). https://pith.science/paper/ISYL3HKJ
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What the abstract itself states, as probabilities: claims first 0.86 · states limitation 0.32 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.07 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; .

Within a nonperturbative dynamical two-body approach - based on coupled equations of motion for the one-body density matrix and the two-body correlation function - we study the distribution of occupation numbers in a correlated system close to the groundstate, the relaxation of single-particle excitations and the damping of collective modes. For this purpose the nonlinear equations of motion are solved numerically within a finite oscillator basis for the first time adopting short-range repulsive and long-range attractive two-body forces. We find in all cases that the formation of long- and short-range correlations and their mixing is related to the long- and short-range part of the nucleon-nucleon interaction which dominate the resummation of loop or ladder diagrams, respectively. However, the proper description of relaxation or damping phenomena is found to require both types of diagrams as well as the mixed terms simultaneously.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Within a nonperturbative dynamical two-body approach - based on coupled equations of motion for the one-body density matrix and the two-body correlation function - we study the distribution of occupation numbers in a correlated system close to the groundstate, the relaxation of single-particle excitations and the damping of collective modes. contribution 0.93 0.91 0.09 asserted 0.79
s1 For this purpose the nonlinear equations of motion are solved numerically within a finite oscillator basis for the first time adopting short-range repulsive and long-range attractive two-body forces. method 0.90 0.94 0.04 asserted 0.99
s2 We find in all cases that the formation of long- and short-range correlations and their mixing is related to the long- and short-range part of the nucleon-nucleon interaction which dominate the resummation of loop or ladder diagrams, respectively. result 0.76 0.94 0.39 asserted 1.00
s3 However, the proper description of relaxation or damping phenomena is found to require both types of diagrams as well as the mixed terms simultaneously. result 0.87 0.94 0.46 asserted 1.00

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Original abstract

Within a nonperturbative dynamical two-body approach - based on coupled equations of motion for the one-body density matrix and the two-body correlation function - we study the distribution of occupation numbers in a correlated system close to the groundstate, the relaxation of single-particle excitations and the damping of collective modes. For this purpose the nonlinear equations of motion are solved numerically within a finite oscillator basis for the first time adopting short-range repulsive and long-range attractive two-body forces. We find in all cases that the formation of long- and short-range correlations and their mixing is related to the long- and short-range part of the nucleon-nucleon interaction which dominate the resummation of loop or ladder diagrams, respectively. However, the proper description of relaxation or damping phenomena is found to require both types of diagrams as well as the mixed terms simultaneously.

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