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arXiv 2407.02479hep-ph
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光前夸克模型中具有对数禁闭势的介子光谱学与部分子观测量的混合效应

Mixing effects on spectroscopy and partonic observables of mesons with logarithmic confining potential in a light-front quark model

Bhoomika Pandya, Bheemsehan Gurjar, Dipankar Chakrabarti, Ho-Meoyng Choi, Chueng-Ryong Ji

AI总结:

本文在光前夸克模型中引入库仑加对数禁闭势及1S-2S混合,以解释重介子质量差和衰变常数层级,并验证了相关形状因子与衰变分支比。

摘要:

利用变分原理,我们在光前夸克模型中系统研究了重赝标介子(P)和矢量介子(V)的1S和2S态的质量谱与波函数。该方法采用库仑加对数禁闭势来准确描述组分夸克与反夸克的动力学。此外,我们以微扰方式引入自旋超精细相互作用来计算赝标介子和矢量介子的质量。当前对1S和2S态的分析需要考虑它们之间的混合以符合经验约束。这些约束包括质量差$ΔM_{P} > ΔM_{V}$,其中$ΔM_{P(V)} = M^{2S}_{P(V)} - M^{1S}_{P(V)}$,以及衰变常数的层级关系$f_{1S} > f_{2S}$。我们发现混合角的最优值为$θ= 18^{\circ}$,这显著提高了我们的光谱学预测与粒子数据组(PDG)汇编的实验数据之间的一致性。此外,基于预测的质量,新观测到的共振态$B_J(5840)$可以被指定为$B$介子家族中的$2^1S_0$态。本研究还报告了多种相关观测量,包括twist-2分布振幅、电磁形状因子、电荷半径、$ξ$矩和跃迁形状因子,这些结果与现有的格点模拟和实验数据一致。另外,我们预测的$B^+ \rightarrow τ^+ ν_τ$衰变道以及$B^0$和$B_s^0$稀有衰变的分支比与实验数据相符。

英文摘要:

Using the variational principle, we systematically investigate the mass spectra and wave functions of both $1S$ and $2S$ state heavy pseudoscalar $(P)$ and vector $(V)$ mesons within the light-front quark model. This approach incorporates a Coulomb plus logarithmic confinement potential to accurately describe the constituent quark and antiquark dynamics. Additionally, spin hyperfine interactions are introduced perturbatively to compute the masses of pseudoscalar and vector mesons. The present analyses of the $1S$ and $2S$ states require the consideration of mixing between them to account for empirical constraints. These constraints include the mass gap $ΔM_{P} > ΔM_{V}$, where $ΔM_{P(V)} = M^{2S}_{P(V)} - M^{1S}_{P(V)}$ and the hierarchy of the decay constants $f_{1S} > f_{2S}$. We find the optimal value of the mixing angle to be $θ= 18^{\circ}$, significantly enhancing the consistency between our spectroscopic predictions and the experimental data compiled by the Particle Data Group (PDG). Furthermore, based on the predicted mass, the newly observed resonance $B_J(5840)$ could be assigned as a $2^1S_0$ state in the $B$ meson family. The study also reports various pertinent observables, including twist-2 distribution amplitudes, electromagnetic form factors, charge radii, $ξ$ moments, and transition form factors which are found to be consistent with both available lattice simulations and experimental data. In addition, our predicted branching ratios for the channels of $B^+ \rightarrow τ^+ ν_τ$ as well as rare decays of $B^0$ and $B_s^0$ appear in accordance with experimental data.

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