Transverse Orbital Angular Momentum in the Proton
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910674425217024 |
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| author | Alkasassbeh, Osamah Rajan, Abha Engelhardt, Michael Liuti, Simonetta |
| author_facet | Alkasassbeh, Osamah Rajan, Abha Engelhardt, Michael Liuti, Simonetta |
| contents | Using the equations of motion of QCD and Lorentz invariance relations, we show a new, more direct way of obtaining the decomposition of the proton's quark transverse angular momentum into its spin and orbital components. The new decomposition can be understood as a twist-three relation, with the quark transverse spin described by the parton distribution $g_T$. We find that the orbital component can be expressed in terms of a moment in the quark transverse momentum, $k_T$, of the generalized transverse momentum-dependent distribution $F_{12}$, or alternatively in terms of the twist-three generalized parton distributions $H_{2T}$ and $\widetilde{E}_{2T}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21604 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transverse Orbital Angular Momentum in the Proton Alkasassbeh, Osamah Rajan, Abha Engelhardt, Michael Liuti, Simonetta High Energy Physics - Phenomenology Nuclear Theory Using the equations of motion of QCD and Lorentz invariance relations, we show a new, more direct way of obtaining the decomposition of the proton's quark transverse angular momentum into its spin and orbital components. The new decomposition can be understood as a twist-three relation, with the quark transverse spin described by the parton distribution $g_T$. We find that the orbital component can be expressed in terms of a moment in the quark transverse momentum, $k_T$, of the generalized transverse momentum-dependent distribution $F_{12}$, or alternatively in terms of the twist-three generalized parton distributions $H_{2T}$ and $\widetilde{E}_{2T}$. |
| title | Transverse Orbital Angular Momentum in the Proton |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2410.21604 |