发表机构
Dr. B.R. Ambedkar National Institute of Technology（B.R. 安贝德卡尔国家理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本工作通过扩展光前全息QCD的横向禁闭势，加入库仑和对数项，数值求解光前薛定谔方程，计算π、ρ和K*介子族的径向激发谱，将平均偏差从7.6%降至5.2%，改进了径向激发态的描述。
AI 中文摘要
量子色动力学（QCD）的非微扰区域对解析处理提出了重大挑战。光前全息QCD（LFHQCD）通过全息对偶描述夸克禁闭，为探索强子结构提供了一个有效的半经典框架。虽然标准软墙模型以及Brodsky-de Téramond（BdT）纵向处方对介子基态给出了令人满意的结果，但对于π介子族的径向激发态，其偏差约为17%至18%。在本工作中，我们在标准软墙框架之外，通过添加库仑和对数贡献来扩展横向禁闭势。我们数值求解所得的光前薛定谔方程，并将横向质量谱与BdT纵向处方相结合，以获得完整的介子质量谱。我们计算了π、ρ和K*介子族的径向激发谱，并分析了它们的Regge轨迹。与标准软墙模型相比，改进后的框架将整体平均偏差从实验数据的约7.6%降低到5.2%，对于拟合的九态数据集，在描述径向激发态方面代表了约32%的改进。结果表明，短程库仑和中等距离对数贡献对于在光前全息方法中细化径向介子谱是重要的。
英文摘要
The non-perturbative regime of Quantum Chromodynamics (QCD) poses significant challenges for analytical treatment. Light-Front Holographic QCD (LFHQCD) offers an effective semiclassical framework for exploring hadronic structure through a holographic dual description of confinement. While the standard soft-wall model, along with the Brodsky-de Téramond (BdT) longitudinal prescription, provides satisfactory results for meson ground states, it shows deviations of around 17 to $18\%$ for radial excitations of the pion family. In this work, we extend the transverse confining potential by adding Coulombic and logarithmic contributions beyond the standard soft-wall framework. We solve the resulting light-front Schrödinger equation numerically, and we combine the transverse mass spectrum with the BdT longitudinal prescription to obtain the complete meson mass spectrum. We compute the radial excitation spectra of the $π$, $ρ$, and $K^{*}$ meson families and analyze their Regge trajectories. The modified framework reduces the overall average deviation from experimental data from about $7.6\%$ to $5.2\%$ compared to the standard soft-wall model, representing a $\sim 32\%$ improvement for the fitted nine-state dataset in describing radially excited states. The results show that short-range Coulombic and intermediate-range logarithmic contributions are important for refining the radial meson spectrum within the light-front holographic approach.
Comments13 pages, 3 figures
