arXiv 1702.063742017-02hep-phhep-ex

幺正耦合通道模型中高$ψ$共振态的轻子宽度

The leptonic widths of high $ψ$-resonances in unitary coupled-channel model

A. M. Badalian, B. L. G. Bakker

备注：: 10 pages, 6 references corrected, some new material added
发表信息：: Phys. Rev. D 96, 014030 (2017)
DOI：: 10.1103/PhysRevD.96.014030

摘要：

在具有幺正非弹性的耦合通道模型中计算了高$ψ$ -共振态的轻子宽度，导出了$(n+1)\,^3S_1$和$n\,^3D_1$态之间的混合角和$c\bar c$分量的概率$Z_i$的解析表达式.由于这些因子依赖于能量（质量），因此获得混合角$θ(ψ(4040))=27.7^\circ$和$θ(ψ(4160))=29.5^\circ$、$Z_1\,(ψ(4040))=0.76$和$Z_2\,(ψ(4160))=0.62$的不同值。给出了轻子宽度$Γ_{ee}(ψ(4040))=Z_1\, 1.17=0.89$ ~keV，$Γ_{ee}(ψ(4160))=Z_2\, 0.76=0.47$ ~keV，与实验符合较好.对于$ψ(4415)$，我们计算了轻子宽度$Γ_{ee}(ψ(4415))=~0.55$ ~keV，而对于缺失共振态$ψ(4510)$，我们预测了$M(ψ(4500))=(4515\pm 5)$ ~MeV和$Γ_{ee}(ψ(4510)) \cong 0.50$ ~keV.

英文摘要：

The leptonic widths of high $ψ$-resonances are calculated in a coupled-channel model with unitary inelasticity, where analytical expressions for mixing angles between $(n+1)\,^3S_1$ and $n\,^3D_1$ states and probabilities $Z_i$ of the $c\bar c$ component are derived. Since these factors depend on energy (mass), different values of mixing angles $θ(ψ(4040))=27.7^\circ$ and $θ(ψ(4160))=29.5^\circ$, $Z_1\,(ψ(4040))=0.76$, and $Z_2\,(ψ(4160))=0.62$ are obtained. It gives the leptonic widths $Γ_{ee}(ψ(4040))=Z_1\, 1.17=0.89$~keV, $Γ_{ee}(ψ(4160))=Z_2\, 0.76=0.47$~keV in good agreement with experiment. For $ψ(4415)$ the leptonic width $Γ_{ee}(ψ(4415))=~0.55$~keV is calculated, while for the missing resonance $ψ(4510)$ we predict $M(ψ(4500))=(4515\pm 5)$~MeV and $Γ_{ee}(ψ(4510)) \cong 0.50$~keV.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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