$ω\to π^+ π^- π^0$ Dalitz图分布的测量
Measurement of the $ω\to π^+ π^- π^0$ Dalitz plot distribution
摘要：
利用COSY的WASA探测器，利用产生反应$pd\to {}^3\mbox{He}\,ω$和$pp\to ppω$，基于$ (4.408\pm 0.042) \times 10^4$事件的组合数据样本，研究了$ω\to π^+ π^- π^0$衰变的Dalitz图分布。Dalitz图密度由$P$ -波相空间和归一化极Dalitz图变量$Z$和$ϕ$中的多项式展开的乘积参数化。第一次观察到了与纯$P$波相空间的偏离，其意义为$4.1σ$ .偏差由线性项$1+2αZ$参数化，$α$确定为$+0.147\pm0.036$，与$P$ -波π介子对的$ρ$ -介子型末态相互作用的预期一致。
英文摘要：
Using the production reactions $pd\to {}^3\mbox{He}\,ω$ and $pp\to ppω$, the Dalitz plot distribution for the $ω\to π^+ π^- π^0$ decay is studied with the WASA detector at COSY, based on a combined data sample of $ (4.408\pm 0.042) \times 10^4$ events. The Dalitz plot density is parametrised by a product of the $P$-wave phase space and a polynomial expansion in the normalised polar Dalitz plot variables $Z$ and $ϕ$. For the first time, a deviation from pure $P$-wave phase space is observed with a significance of $4.1σ$. The deviation is parametrised by a linear term $1+2αZ$, with $α$ determined to be $+0.147\pm0.036$, consistent with the expectations of $ρ$-meson-type final-state interactions of the $P$-wave pion pairs.
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