Chiral-even twist-3 GPDs for the proton in a spectator diquark model
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929435674935296 |
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| author | Tan, Chentao Lu, Zhun |
| author_facet | Tan, Chentao Lu, Zhun |
| contents | We investigate the chiral-even twist-3 generalized parton distributions (GPDs) of valence quarks in the proton at nonzero skewness $ξ$, using a spectator model with scalar and axial-vector diquarks. We consider the exponential form factor for the nucleon-quark-diquark vertex and the axial-vector diquark with light-cone transverse polarization. We analyze the dependence of GPDs on the longitudinal momentum fraction $x$ at different $ξ$, and on the square of the transverse momentum transfer $Δ^2_T$ at different $x$. Our numerical results reveal distinct discontinuities in all twist-3 GPDs except $G_1$ and $\tilde{G}_1$. By taking the forward limit, we obtain the twist-3 parton distribution function $g_T$, which encodes the transverse spin distribution of quarks. We also compare the kinetic orbital angular momentum and the spin-orbit correlations of quarks defined by the twist-2 and twist-3 GPDs, respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17448 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Chiral-even twist-3 GPDs for the proton in a spectator diquark model Tan, Chentao Lu, Zhun High Energy Physics - Phenomenology We investigate the chiral-even twist-3 generalized parton distributions (GPDs) of valence quarks in the proton at nonzero skewness $ξ$, using a spectator model with scalar and axial-vector diquarks. We consider the exponential form factor for the nucleon-quark-diquark vertex and the axial-vector diquark with light-cone transverse polarization. We analyze the dependence of GPDs on the longitudinal momentum fraction $x$ at different $ξ$, and on the square of the transverse momentum transfer $Δ^2_T$ at different $x$. Our numerical results reveal distinct discontinuities in all twist-3 GPDs except $G_1$ and $\tilde{G}_1$. By taking the forward limit, we obtain the twist-3 parton distribution function $g_T$, which encodes the transverse spin distribution of quarks. We also compare the kinetic orbital angular momentum and the spin-orbit correlations of quarks defined by the twist-2 and twist-3 GPDs, respectively. |
| title | Chiral-even twist-3 GPDs for the proton in a spectator diquark model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.17448 |