The kaon off-shell generalized parton distributions and transverse momentum dependent parton distributions
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915591311327232 |
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| author | Zhang, Jin-Li |
| author_facet | Zhang, Jin-Li |
| contents | We investigate the off-shell generalized parton distributions (GPDs) {and transverse momentum dependent parton distributions (TMDs)} of kaons within the framework of the Nambu--Jona-Lasinio model, employing proper time regularization. {Compared to the pion case, the off-shell effects in kaons are of similar magnitude, modifying the GPDs by about $10\%$--$25\%$, which is notable. The absence of crossing symmetry leads to odd powers in the $x$-moments of the off-shell GPDs, giving rise to new off-shell form factors.} We analyze the relations among these kaon off-shell form factors by analogy with electromagnetic form factors. Our results extend the off-shell GPDs from pions to kaons and simultaneously address the associated off-shell form factors. We also compare the off-shell and on-shell gravitational form factors of the kaon. In addition, the off-shell kaon TMD shows a stronger dependence on the momentum fraction $x$ than its on-shell counterpart. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_01854 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The kaon off-shell generalized parton distributions and transverse momentum dependent parton distributions Zhang, Jin-Li High Energy Physics - Phenomenology We investigate the off-shell generalized parton distributions (GPDs) {and transverse momentum dependent parton distributions (TMDs)} of kaons within the framework of the Nambu--Jona-Lasinio model, employing proper time regularization. {Compared to the pion case, the off-shell effects in kaons are of similar magnitude, modifying the GPDs by about $10\%$--$25\%$, which is notable. The absence of crossing symmetry leads to odd powers in the $x$-moments of the off-shell GPDs, giving rise to new off-shell form factors.} We analyze the relations among these kaon off-shell form factors by analogy with electromagnetic form factors. Our results extend the off-shell GPDs from pions to kaons and simultaneously address the associated off-shell form factors. We also compare the off-shell and on-shell gravitational form factors of the kaon. In addition, the off-shell kaon TMD shows a stronger dependence on the momentum fraction $x$ than its on-shell counterpart. |
| title | The kaon off-shell generalized parton distributions and transverse momentum dependent parton distributions |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.01854 |