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Precocious asymptopia for charm from the running BFKL
High Energy Physics - Phenomenology · Submitted 21 Dec 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In a wide range of $Q^2$ the calculated $F_2^{cc}(x,Q^2)$ is exhausted by the leading BFKL pole and gives a perfect description of the experimental data.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
The running BFKL equation gives rise to a series of moving poles in the complex j-plane. Corresponding eigenfunctions (color dipole cross sections) are the oscillating functions of the color dipole size $r$. The first nodes for all sub-leading solutions (color dipole cross sections) accumulate at $r_1\sim 0.1 fm$. Therefore the processes dominated by the dipole sizes $r\sim r_1$ are free of sub-leading BFKL corrections. A practically important example - the leptoproduction of charm. In a wide range of $Q^2$ the calculated $F_2^{cc}(x,Q^2)$ is exhausted by the leading BFKL pole and gives a perfect description of the experimental data.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The running BFKL equation gives rise to a series of moving poles in the complex j-plane. | result 0.79 | 0.46 | 0.06 | asserted 1.00 |
| s1 | Corresponding eigenfunctions (color dipole cross sections) are the oscillating functions of the color dipole size $r$. | result 0.97 | 0.57 | 0.04 | asserted 1.00 |
| s2 | The first nodes for all sub-leading solutions (color dipole cross sections) accumulate at $r_1\sim 0.1 fm$. | result 1.00 | 0.75 | 0.12 | asserted 1.00 |
| s3 | Therefore the processes dominated by the dipole sizes $r\sim r_1$ are free of sub-leading BFKL corrections. | interpretation 0.86 | 0.75 | 0.47 | asserted 1.00 |
| s4 | A practically important example - the leptoproduction of charm. | contribution 0.55 | 0.26 | 0.04 | asserted 0.51 |
| s5 | In a wide range of $Q^2$ the calculated $F_2^{cc}(x,Q^2)$ is exhausted by the leading BFKL pole and gives a perfect description of the experimental data. | result 0.99 | 0.83 | 0.67 | asserted 1.00 |
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The paper
Original abstract
The running BFKL equation gives rise to a series of moving poles in the complex j-plane. Corresponding eigenfunctions (color dipole cross sections) are the oscillating functions of the color dipole size $r$. The first nodes for all sub-leading solutions (color dipole cross sections) accumulate at $r_1\sim 0.1 fm$. Therefore the processes dominated by the dipole sizes $r\sim r_1$ are free of sub-leading BFKL corrections. A practically important example - the leptoproduction of charm. In a wide range of $Q^2$ the calculated $F_2^{cc}(x,Q^2)$ is exhausted by the leading BFKL pole and gives a perfect description of the experimental data.
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