Improved QCD-motivated heavy-quark potentials with explicit Λ MS̄ dependence
Improved QCD-motivated heavy-quark potentials with explicit Λ MS̄ dependence
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DOI：
10.1103/physrevd.46.1165
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发表时间：
1992-08
影响因子：
5
通讯作者：
Yu-Qi Chen;Y. Kuang;Y. Kuang
中科院分区：
文献类型：
--
作者：
Yu-Qi Chen;Y. Kuang;Y. Kuang
We propose two models for a heavy-quark potential with possible natural QCD interpretations. The potentials approach the two-loop perturbative QCD formula at short distance and a linear confining potential at large distance, and their predicted $c\overline{c}$ and $b\overline{b}$ spectra all fit the data very well for ${\ensuremath{\Lambda}}_{\stackrel{-}{\mathrm{MS}}}$ in the range 100-500 MeV, where $\stackrel{-}{\mathrm{MS}}$ denotes the modified minimal subtraction scheme. Furthermore, the potentials are described directly in coordinate space with explicit ${\ensuremath{\Lambda}}_{\stackrel{-}{\mathrm{MS}}}$ dependence so that they are convenient for practical calculations. Some of their phenomenological predictions are given, especially, in the picture regarding a confining potential as a scalar exchange. The predicted masses of $\ensuremath{\psi}(1^{1}P_{1})$ and $\ensuremath{\Upsilon}(1^{1}P_{1})$ are higher than the center-of-gravity values of the $1^{3}P_{J}$ states by 0.9-1.8 MeV and 0.4-0.7 MeV, respectively, for ${\ensuremath{\Lambda}}_{\stackrel{-}{\mathrm{MS}}}$ in the range 100-200 MeV.
We propose two models for a heavy-quark potential with possible natural QCD interpretations. The potentials approach the two-loop perturbative QCD formula at short distance and a linear confining potential at large distance, and their predicted $c\overline{c}$ and $b\overline{b}$ spectra all fit the data very well for ${\ensuremath{\Lambda}}_{\stackrel{-}{\mathrm{MS}}}$ in the range 100-500 MeV, where $\stackrel{-}{\mathrm{MS}}$ denotes the modified minimal subtraction scheme. Furthermore, the potentials are described directly in coordinate space with explicit ${\ensuremath{\Lambda}}_{\stackrel{-}{\mathrm{MS}}}$ dependence so that they are convenient for practical calculations. Some of their phenomenological predictions are given, especially, in the picture regarding a confining potential as a scalar exchange. The predicted masses of $\ensuremath{\psi}(1^{1}P_{1})$ and $\ensuremath{\Upsilon}(1^{1}P_{1})$ are higher than the center-of-gravity values of the $1^{3}P_{J}$ states by 0.9-1.8 MeV and 0.4-0.7 MeV, respectively, for ${\ensuremath{\Lambda}}_{\stackrel{-}{\mathrm{MS}}}$ in the range 100-200 MeV.