Higher-twist generalized parton distributions of the pion and kaon at zero skewness in the light-cone quark model
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911935240339456 |
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| author | Luan, Xiaoyan Lu, Zhun |
| author_facet | Luan, Xiaoyan Lu, Zhun |
| contents | We investigate the higher-twist generalized parton distributions (GPDs) of the pion and kaon at zero skewness by adopting the overlap representation within the light-cone formalism. Using the wave functions of pion and kaon deduced from a light-cone quark model (LCQM), we calculate the twist-3 and twist-4 GPDs $E_{2}(x,0,t)$, $G_{2}(x,0,t)$, $F_{3}(x,0,t)$ and $H_{3}(x,0,t)$ of valence quark inside the pion and kaon mesons. Numerical results for these higher-twist GPDs are presented. By taking the forward limit, we also present the numerical results for the corresponding twist-3 and twist-4 parton distribution functions (PDFs) $e(x)$ and $f_{3}(x)$ of pion and kaon. We further study the relations between $e(x)$ or $f_{3}(x)$ and the twist-2 unpolarized PDF $f_{1}(x)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19376 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher-twist generalized parton distributions of the pion and kaon at zero skewness in the light-cone quark model Luan, Xiaoyan Lu, Zhun High Energy Physics - Phenomenology We investigate the higher-twist generalized parton distributions (GPDs) of the pion and kaon at zero skewness by adopting the overlap representation within the light-cone formalism. Using the wave functions of pion and kaon deduced from a light-cone quark model (LCQM), we calculate the twist-3 and twist-4 GPDs $E_{2}(x,0,t)$, $G_{2}(x,0,t)$, $F_{3}(x,0,t)$ and $H_{3}(x,0,t)$ of valence quark inside the pion and kaon mesons. Numerical results for these higher-twist GPDs are presented. By taking the forward limit, we also present the numerical results for the corresponding twist-3 and twist-4 parton distribution functions (PDFs) $e(x)$ and $f_{3}(x)$ of pion and kaon. We further study the relations between $e(x)$ or $f_{3}(x)$ and the twist-2 unpolarized PDF $f_{1}(x)$. |
| title | Higher-twist generalized parton distributions of the pion and kaon at zero skewness in the light-cone quark model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.19376 |