arXiv 2008.115662020-08hep-phhep-ex

用$\bar{p}p$ -、$π^- p$ -和$ππ$ -数据的耦合道分析研究锂离子混合介子候选者

Investigation of the Lightest Hybrid Meson Candidate with a Coupled-Channel Analysis of $\bar{p}p$-, $π^- p$- and $ππ$-Data

B. Kopf, M. Albrecht, H. Koch, M. Küßner, J. Pychy, X. Qin, U. Wiedner

备注：: 6 pages, 2 figures, 1 table
DOI：: 10.1140/epjc/s10052-021-09821-2

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摘要：

一个复杂的耦合通道分析，结合不同的过程：通道$π^0π^0η$，$π^0ηη$和$K^+K^-π^0$从$\bar{p}p$湮灭，P-和D-波振幅的$πη$和$πη^\prime$系统产生的$π^- p$散射，和数据从$ππ$散射反应。因此，我们的分析结合了水晶桶实验和JPAC小组发表的两个独立的先前分析中使用的数据集。基于这些研究的新发现，本文旨在更好地理解轻介子扇区中的自旋奇异$π_1$共振。通过利用K矩阵方法和通过Chew-Mandelstrom函数实现解析性，对于$πη$和$πη^\prime$两个系统，自旋奇异波的振幅可以很好地由单个$π_1$极点描述。测量$π_1$极的质量和宽度为$(1623 \, \pm \, 47 \, ^{+24}_{-75}\,)\, \mathrm{MeV/c}^2$和$(455 \, \pm \, 88 \, ^{+144}_{-175}\,)\, \mathrm{MeV}$。

英文摘要：

A sophisticated coupled-channel analysis is presented that combines different processes: the channels $π^0π^0η$, $π^0ηη$ and $K^+K^-π^0$ from $\bar{p}p$ annihilations, the P- and D-wave amplitudes of the $πη$ and $πη^\prime$ systems produced in $π^- p$ scattering, and data from $ππ$-scattering reactions. Hence our analysis combines the data sets used in two independent previous analyses published by the Crystal Barrel experiment and by the JPAC group. Based on the new insights from these studies, this paper aims at a better understanding of the spin-exotic $π_1$ resonances in the light-meson sector. By utilizing the K-matrix approach and realizing the analyticity via Chew-Mandelstam functions the amplitude of the spin-exotic wave can be well described by a single $π_1$ pole for both systems, $πη$ and $πη^\prime$. The mass and width of the $π_1$-pole are measured to be $(1623 \, \pm \, 47 \, ^{+24}_{-75}\,)\, \mathrm{MeV/c}^2$ and $(455 \, \pm \, 88 \, ^{+144}_{-175}\,)\, \mathrm{MeV}$.

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