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arXiv 2007.12872hep-ex
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质心能量从3.80到4.60 GeV的$e^{+}e^{-} \rightarrow μ^+μ^-$截面测量

Measurement of cross sections for $e^{+}e^{-} \rightarrow μ^+μ^-$ at center-of-mass energies from 3.80 to 4.60 GeV

BESIII Collaboration

摘要:

利用BEPCII对撞机上运行的BESIII探测器采集的数据样本测量了能量从3.8到4.6 GeV的$e^+e^-\rightarrow μ^+μ^-$的观测截面。我们测量的μ子宽度和确定的charmonium状态$ψ(4040)$,$ψ(4160)$,$ψ(4415)$衰减到$μ^+μ^-$的分支分数,以及作出的第一个确定的振幅的相位。此外,我们观察到的证据,在4.220 GeV/ $c^2$附近的双μ子截面的结构,我们表示为$S(4220)$。分析振幅的相干和得到八个解,其中一个给出${M}_{S(4220)}=4216.7 \pm 8.9 \pm 4.1$ ~MeV/ $c^2$的质量,${\rm Γ^{\rm tot}_{S(4220)}}=47.2 \pm 22.8 \pm 10.5$ ~MeV的总宽度和${\rm Γ}^{μμ}_{S(4220)}=1.53\pm1.26\pm0.54$ ~keV的μ子宽度,其中第一个不确定性是统计的,第二个是系统的。这八个解给出了质量、总宽度和μ子宽度的中心值,分别在4212.8至4219.4 MeV/ $c^2$、36.4至49.6 MeV和1.09至1.53 keV的范围内。$S(4220)$信号的统计学显著性为$3.9σ$。校正总的双μ子截面的辐射效应产生的统计意义,这种结构的$7σ$以上。

英文摘要:

The observed cross sections for $e^+e^-\rightarrow μ^+μ^-$ at energies from 3.8 to 4.6 GeV are measured using data samples taken with the BESIII detector operated at the BEPCII collider. We measure the muonic widths and determine the branching fractions of the charmonium states $ψ(4040)$, $ψ(4160)$, and $ψ(4415)$ decaying to $μ^+μ^-$, as well as making a first determination of the phase of the amplitudes. In addition, we observe evidence for a structure in the dimuon cross section near 4.220 GeV/$c^2$, which we denote as $S(4220)$. Analyzing a coherent sum of amplitudes yields eight solutions, one of which gives a mass of ${M}_{S(4220)}=4216.7 \pm 8.9 \pm 4.1$~MeV/$c^2$, a total width of ${\rm Γ^{\rm tot}_{S(4220)}}=47.2 \pm 22.8 \pm 10.5$~MeV, and a muonic width of ${\rm Γ}^{μμ}_{S(4220)}=1.53\pm1.26\pm0.54$~keV, where the first uncertainties are statistical and the second systematic. The eight solutions give the central values of the mass, total width, muonic width to be, respectively, in the range from 4212.8 to 4219.4 MeV/$c^2$, from 36.4 to 49.6 MeV, and from 1.09 to 1.53 keV. The statistical significance of the $S(4220)$ signal is $3.9σ$. Correcting the total dimuon cross section for radiative effects yields a statistical significance for this structure of more than $7σ$.

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