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arXiv 2603.21132hep-ph
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自洽光前夸克模型中矢量介子的光锥分布振幅

Light-cone Distribution Amplitudes of Vector Mesons within the Self-Consistent Light-front Quark Model

Tongling University（铜陵学院）；Zhoukou Normal University（周口师范学院）；Henan Normal University（河南师范大学）

Xiao-Nan Li, Shuai Xu, Qin Chang

备注：
10 pages, 5 figures, Version accepted for publication in PLB
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AI总结：

在自洽光前夸克模型中研究矢量介子的twist-2和twist-3光锥分布振幅，计算了Gegenbauer矩、ξ矩和横向动量矩，揭示了味对称性破缺、twist依赖性在重夸克极限下的减弱以及赝标量和矢量介子间自旋-twist独立性的近似模式。

摘要：

本文在自洽光前夸克模型中研究了矢量介子的twist-2和twist-3光锥分布振幅（LCDAs），并计算了第n阶Gegenbauer矩$a_n(\mu)$、$\xi$-矩$\langle \xi^n\rangle^{\parallel(\perp)}$和横向动量矩$\langle \mathbf{k}^n_\perp\rangle^{\parallel(\perp)}$。采用由介子衰变常数约束的禁闭参数集，我们进行了数值分析，结果揭示了几个关键见解：（i）味对称性破缺效应在矢量介子的twist-3 LCDAs中更为显著，导致$a_1^\perp>a_1^\parallel$和$\langle \xi^n\rangle^\perp>\langle \xi^n\rangle^\parallel$。这与先前对赝标量介子LCDAs的研究结果一致。（ii）对于矢量介子，twist依赖性在重夸克极限下减弱，导致$\phi_{2}^\parallel(x)\simeq\phi_{3}^\perp(x)$。对于由相同夸克成分组成的赝标量和矢量介子，具有相同twist的LCDAs表现出相似性，并随着夸克质量的增加逐渐收敛，即当$m_q\rightarrow\infty$时，$\phi_{2}^A(x)\simeq\phi_{2}^\parallel(x)$和$\phi_{3}^P(x)\simeq\phi_{3}^\perp(x)$。在自洽LFQM框架的重夸克极限下，我们发现一个近似的关联自旋-twist独立性模式，即$\phi_2^A(x) \simeq \phi_2^{\parallel}(x) \approx\phi_3^P(x) \simeq \phi_3^{\perp}(x)$，这是由于twist依赖性的抑制以及赝标量和矢量介子之间近似的自旋独立性所致。

英文摘要：

In this paper, we investigate the twist-2 and twist-3 light-cone distribution amplitudes (LCDAs) of vector mesons within the self-consistent 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 is consistent 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 $m_q\rightarrow\infty$. In the heavy-quark limit within the self-consistent LFQM framework, we find an approximate correlated spin-twist independence pattern, with $ϕ_2^A(x) \simeq ϕ_2^{\parallel}(x) \approxϕ_3^P(x) \simeq ϕ_3^{\perp}(x)$, resulting from the suppression of twist dependence and the approximate spin independence between pseudoscalar and vector mesons.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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