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arXiv 1902.09160hep-phnucl-th
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指数型约束势光阵面夸克模型中Twist-2赝标和矢量介子分布振幅

Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential

Nisha Dhiman, Harleen Dahiya, Chueng-Ryong Ji, Ho-Meoyng Choi

备注：
32 pages, 9 figures
发表信息：
Phys. Rev. D 100, 014026 (2019)
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摘要：

本文研究了赝标光的twist-2分布振幅和衰减常数（$π$，$K$）和重型（$D$，$D_s$，$B$，$B_s$）介子以及纵向和横向偏振矢量光（$ρ$，$K^*$）和重型（$D^*$，$D_s^*$，$B^*$，$B_s^*$）介子在光前夸克模型与库仑加指数-型限制势$V_{\rm {exp}} = a + b e^{αr}$。我们首先计算了基态赝标和矢量轻、重介子的质量谱，并确定了分析所需的模型参数，应用变分原理，将试探波函数扩展到前三个最低阶谐振子（HO）波函数$Φ(x, \textbf{k}_\bot) = \sum_{n=1}^{3} c_n ϕ_{nS}$。然后，我们得到相应的轻、重介子衰变常数的数值结果。我们估计了DAs，分析了它们随动量分数的变化，并计算了$B$和$D$介子的前六个$ξ$矩。我们比较我们的结果与现有的实验数据，以及与其他理论模型的预测。

英文摘要：

We study the twist-2 distribution amplitudes (DAs) and the decay constants of pseudoscalar light ($π$, $K$) and heavy ($D$, $D_s$, $B$, $B_s$) mesons as well as the longitudinally and transversely polarized vector light ($ρ$, $K^*$) and heavy ($D^*$, $D_s^*$, $B^*$, $B_s^*$) mesons in the light-front quark model with the Coulomb plus exponential-type confining potential $V_{\rm {exp}} = a + b e^{αr}$ in addition to the hyperfine interaction. We first compute the mass spectra of ground state pseudoscalar and vector light and heavy mesons and fix the model parameters necessary for the analysis, applying the variational principle with the trial wave function up to the first three lowest order harmonic oscillator (HO) wave functions $Φ(x, \textbf{k}_\bot) = \sum_{n=1}^{3} c_n ϕ_{nS}$. We then obtain the numerical results for the corresponding decay constants of light and heavy mesons. We estimate the DAs, analyze their variation as a function of momentum fraction and compute the first six $ξ$-moments of the $B$ and $D$ mesons as well. We compare our results with the available experimental data as well as with the other theoretical model predictions.

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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