High $Q^2$ Behavior of the Proton Structure Function through the Balitsky-Kovchegov Equation
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913754891943936 |
|---|---|
| author | Kou, Wei Xie, Gang Wang, Xiaopeng Han, Chengdong Chen, Xurong |
| author_facet | Kou, Wei Xie, Gang Wang, Xiaopeng Han, Chengdong Chen, Xurong |
| contents | Numerous experimental and theoretical investigations have highlighted the power law behavior of the proton structure function $ F_2(x, Q^2) $, particularly the dependence of its power constant on various kinematic variables. In this study, we analyze the proton structure function $ F_2 $ employing the analytical solution of the Balitsky-Kovchegov equation, with a focus on the high $ Q^2 $ regime and small $ x $ domains. Our results indicate that as $ Q^2 $ increases, the slope parameter $ λ$, which characterizes the growth rate of $ F_2 $, exhibits a gradual decrease, approaching a limiting value of $ λ\approx 0.41 \pm 0.01 $ for large $ Q^2 $. We suggest that this behavior of $ λ$ may be attributed to mechanisms such as gluon overlap and the suppression of phase space growth. To substantiate these conclusions, further high-precision electron-ion collision experiments are required, encompassing a broad range of $ Q^2 $ and $ x $. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_09184 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | High $Q^2$ Behavior of the Proton Structure Function through the Balitsky-Kovchegov Equation Kou, Wei Xie, Gang Wang, Xiaopeng Han, Chengdong Chen, Xurong High Energy Physics - Phenomenology Numerous experimental and theoretical investigations have highlighted the power law behavior of the proton structure function $ F_2(x, Q^2) $, particularly the dependence of its power constant on various kinematic variables. In this study, we analyze the proton structure function $ F_2 $ employing the analytical solution of the Balitsky-Kovchegov equation, with a focus on the high $ Q^2 $ regime and small $ x $ domains. Our results indicate that as $ Q^2 $ increases, the slope parameter $ λ$, which characterizes the growth rate of $ F_2 $, exhibits a gradual decrease, approaching a limiting value of $ λ\approx 0.41 \pm 0.01 $ for large $ Q^2 $. We suggest that this behavior of $ λ$ may be attributed to mechanisms such as gluon overlap and the suppression of phase space growth. To substantiate these conclusions, further high-precision electron-ion collision experiments are required, encompassing a broad range of $ Q^2 $ and $ x $. |
| title | High $Q^2$ Behavior of the Proton Structure Function through the Balitsky-Kovchegov Equation |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2201.09184 |