Light-cone Distribution Amplitudes of Vector Mesons within the Self-Consistent Light-front Quark Model
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914413547618304 |
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| author | Li, Xiao-Nan Xu, Shuai Chang, Qin |
| author_facet | Li, Xiao-Nan Xu, Shuai Chang, Qin |
| contents | In this paper, we investigate the twist-2 and twist-3 light-cone distribution amplitudes (LCDAs) of vector mesons within the light-front quark model, and the $n$th Gegenbauer moment $a_n(μ)$, $ξ$-moment $\langle ξ^n\rangle^{\parallel(\perp)}$ and transverse moment $\langle \mathbf{k}^n_\perp\rangle^{\parallel(\perp)}$ are also carried out. Adopting the parameter set fixed by confinements from the mesonic decay constants, we perform the numerical analysis and the results reveal several key insights: (i) The flavor symmetry breaking effects are more pronounced in the twist-3 LCDAs of vector mesons, which leads to the establishment of $a_1^\perp>a_1^\parallel$ and $\langle ξ^n\rangle^\perp>\langle ξ^n\rangle^\parallel$. This consists with previous findings in research for the LCDAs of pseudoscalar mesons. (ii) For vector mesons, the twist dependence decreases in the heavy quark limit which lead to $ϕ_{2}^\parallel(x)\simeqϕ_{3}^\perp(x)$. For pseudoscalar and vector mesons composed of the same quark constituents, their LCDAs with the same twist exhibit similarity and gradually converge as the increasing of quark mass, i.e., $ϕ_{2}^A(x)\simeqϕ_{2}^\parallel(x)$ and $ϕ_{3}^P(x)\simeqϕ_{3}^\perp(x)$ in $m_q\rightarrow\infty$. This reveals the spin independence of LCDAs in the heavy quark limit. Furthermore, it is found $ϕ^A_2(x)\simeqϕ_2^\parallel(x)\approxϕ_3^P(x)\simeqϕ_3^\perp(x)$ with the replacement $M\rightarrow M_0$ and in the heavy quark limit. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_21132 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Light-cone Distribution Amplitudes of Vector Mesons within the Self-Consistent Light-front Quark Model Li, Xiao-Nan Xu, Shuai Chang, Qin High Energy Physics - Phenomenology In this paper, we investigate the twist-2 and twist-3 light-cone distribution amplitudes (LCDAs) of vector mesons within the light-front quark model, and the $n$th Gegenbauer moment $a_n(μ)$, $ξ$-moment $\langle ξ^n\rangle^{\parallel(\perp)}$ and transverse moment $\langle \mathbf{k}^n_\perp\rangle^{\parallel(\perp)}$ are also carried out. Adopting the parameter set fixed by confinements from the mesonic decay constants, we perform the numerical analysis and the results reveal several key insights: (i) The flavor symmetry breaking effects are more pronounced in the twist-3 LCDAs of vector mesons, which leads to the establishment of $a_1^\perp>a_1^\parallel$ and $\langle ξ^n\rangle^\perp>\langle ξ^n\rangle^\parallel$. This consists with previous findings in research for the LCDAs of pseudoscalar mesons. (ii) For vector mesons, the twist dependence decreases in the heavy quark limit which lead to $ϕ_{2}^\parallel(x)\simeqϕ_{3}^\perp(x)$. For pseudoscalar and vector mesons composed of the same quark constituents, their LCDAs with the same twist exhibit similarity and gradually converge as the increasing of quark mass, i.e., $ϕ_{2}^A(x)\simeqϕ_{2}^\parallel(x)$ and $ϕ_{3}^P(x)\simeqϕ_{3}^\perp(x)$ in $m_q\rightarrow\infty$. This reveals the spin independence of LCDAs in the heavy quark limit. Furthermore, it is found $ϕ^A_2(x)\simeqϕ_2^\parallel(x)\approxϕ_3^P(x)\simeqϕ_3^\perp(x)$ with the replacement $M\rightarrow M_0$ and in the heavy quark limit. |
| title | Light-cone Distribution Amplitudes of Vector Mesons within the Self-Consistent Light-front Quark Model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2603.21132 |