arXiv 0811.21842008-11-13hep-ph

QCD弦模型中的重子谱

Heavy baryon spectroscopy in the QCD string model

I. L. Grach, I. M. Narodetskii, M. A. Trusov, A. I. Veselov

备注：: Contribution at PANIC08, Eilat, Israel, November 2008

摘要：

本文利用QCD中的场相关器方法（FCM）建立的QCD弦模型计算了$Σ_c$、$Ξ_c$和最近在Tevatron上观测到的$Σ_b$、$Ξ_b$重子的质量及其轨道激发。辅助场形式允许我们写出三夸克系统的有效哈密顿量的简单局部形式，它包含禁闭效应和相对论效应，并且只包含普适参数：弦张力$σ$、强耦合常数$α_s$和裸（流）夸克质量$m_i$。本文计算了在考虑了夸克间自旋-自旋相互作用的微扰和非微扰情况下的超精细分裂。对于轨道激发，我们估计的限制潜力的字符串校正-旋转字符串的固有惯性的贡献的领先的校正。这种修正使P态的质量降低了50 MeV。我们发现我们的数值计算结果与实验数据吻合得很好。

英文摘要：

QCD string model formulated in the framework of the Field Correlator Method (FCM) in QCD is employed to calculate the masses of $Σ_c$, $Ξ_c$ and recently observed at Tevatron $Σ_b$, $Ξ_b$ baryons and their orbital excitations. The auxiliary field formalism allows one to write a simple local form of the effective Hamiltonian for the three quark system, which comprises both confinement and relativistic effects, and contains only universal parameters: the string tension $σ$, the strong coupling constant $α_s$, and the bare (current) quark masses $m_i$. We calculate the hyperfine splitting with account of the both perturbative and non--perturbative spin-spin forces between quarks in a baryon. For the orbital excitations we estimate the string correction for the confinement potential - the leading correction to the contribution of the proper inertia of the rotating string. This correction lowers the masses of the P-states by 50 MeV. We find our numerical results to be in good agreement with experimental data.

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