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arXiv 1502.03078hep-ph
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光阵面夸克模型中基态赝标和矢量介子质量谱和衰变常数的变分分析

Variational Analysis of Mass Spectra and Decay Constants for Ground State Pseudoscalar and Vector Mesons in Light-Front Quark Model

Ho-Meoyng Choi, Chueng-Ryong Ji, Ziyue Li, Hui-Young Ryu

摘要:

利用变分原理,在考虑超精细相互作用的QCD激发的有效哈密顿量的光阵面夸克模型(LFQM)中,计算了基态赝标和矢量介子的质量谱和衰变常数.通过涂抹超精细相互作用中的Dirac δ函数,避免了用变分原理计算介子质量谱时的负无穷问题,并给出了介子质量谱的解析表达式.我们对拖尾超精细相互作用的分析表明,包括底夸克和粲夸克在内的重介子扇区的相互作用变得更像点。我们还考虑了风味混合效应,并从$(ω,ϕ)$和$(η,η')$的质谱确定了混合角。我们的变分分析与试验波函数,包括两个最低阶谐振子基函数似乎改善与介子衰变常数和重介子质谱的数据的协议比以前的计算处理超精细相互作用作为微扰。

英文摘要:

Using the variational principle, we compute mass spectra and decay constants of ground state pseudoscalar and vector mesons in the light-front quark model (LFQM) with the QCD-motivated effective Hamiltonian including the hyperfine interaction. By smearing out the Dirac delta function in the hyperfine interaction, we avoid the issue of negative infinity in applying the variational principle to the computation of meson mass spectra and provide analytic expressions for the meson mass spectra. Our analysis with the smeared hyperfine interaction indicates that the interaction for the heavy meson sector including the bottom and charm quarks gets more point-like. We also consider the flavor mixing effect in our analysis and determine the mixing angles from the mass spectra of $(ω,ϕ)$ and $(η,η')$. Our variational analysis with the trial wave function including the two lowest order harmonic oscillator basis functions appears to improve the agreement with the data of meson decay constants and the heavy meson mass spectra over the previous computation handling the hyperfine interaction as perturbation.

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