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arXiv 1509.07375hep-ph
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重新审视$χ_{cJ}\rightarrow e^{+}e^{-}$衰变

$χ_{cJ}\rightarrow e^{+}e^{-}$ decays revisited

N. Kivel, M. Vanderhaeghen

摘要:

我们提出了一个计算的宽度为$χ_{cJ}\rightarrow e^{+}e^{-}$衰变。在NRQCD框架内计算了该过程的振幅。在描述重夸克-反夸克对的双光子湮灭的电磁环中,与两个不同的积分域相关的两个项描述了前导级贡献。在NRQCD框架下定义了相应的算子。这些运营商之一的矩阵元素描述了一个配置与超软光子,可以与更高的Fock态的重介子。为了计算这种贡献,我们使用重强子手征微扰理论。我们得到,这一贡献是数字占主导地位。获得的$χ_{c1}$和$χ_{c2}$态的衰变宽度的估计值分别为$0.09$ eV和$0.06$ eV。

英文摘要:

We present a calculation of the width for $χ_{cJ}\rightarrow e^{+}e^{-}$ decay. The amplitude of the process is computed within the NRQCD framework. The leading-order contribution is described by two terms associated with the two different integration domains in the electromagnetic loop describing two-photon annihilation of the heavy quark-antiquark pair. The corresponding operators are defined in the framework of NRQCD. The matrix element of one of these operators describes a configuration with an ultrasoft photon and can be associated with the higher Fock state of the heavy meson. In order to compute this contribution we use the heavy hadron chiral perturbation theory. We obtain that this contribution is numerically dominant. The obtained estimates for the decay widths of the $χ_{c1}$ and $χ_{c2}$ states are $0.09$ eV and $0.06$ eV, respectively.

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