论文标题
$ a_0^0（980）$ - $ f_0（980）$的研究从$ a_0（1450）\到a_0^0（980）f_0（500）\toπ^+π^-f_0（500）$
Study of $a_0^0(980)$-$f_0(980)$ mixing from $a_0(1450) \to a_0^0(980) f_0(500) \to π^+ π^- f_0(500)$
论文作者
论文摘要
$ a_0^0（980）-F_0（980）$混合是了解$ A_0^0（980）$和$ f_0（980）$的最潜在工具之一。使用$ f_0（980）$ - $ a_0^0（980）$混合强度$ξ_{af} $最近在besiii测得a_0^0（980）f_0（500）\rightarrowγπ^0 f_0（980）f_0（500）\rightarrowγπ^0π^+π^+π^ - π^+π^ - $。发现分支比率的值为$ O（10^{ - 6}）$，可以以$ 10^{10} $ $ j/ψ$事件在besiii收集的$ 10^{10} $ J/ψ$。还可以观察到$ f_0（980）$ -A_0^0（980）$混合的狭窄峰值也可以观察到$π^+π^ - $ s square Spectrum。此外，我们研究了非共振衰减$ a_0^0（1450）\ rightArrow f_0（980）π^+π^ - （\ text {non-resonant}）$，该$由$ a_0^0（980）$ - $ f_ {0}（980）$混合。我们发现，非共振衰减$ a_0^0（1450）\ rightArrow f_0（980）π^+π^ - $和衰减$ a_0^0（1450）\ rightArrow f_0（980）f_0（980）f_0（500）$可以组合以衡量混合强度$ $ C $ ecument $ confirctions fastirixt。这些衰减是衰减$χ_{c1} \ rightarrow f_ {0}（980）π^{0} \toπ^{+}π^{ - }π^{0} $的完美补充。
The $a_0^0(980)-f_0(980)$ mixing is one of the most potential tools to learn about the nature of $a_0^0(980)$ and $f_0(980)$. Using the $f_0(980)$-$a_0^0(980)$ mixing intensity $ξ_{af}$ measured recently at BESIII, we calculate the the branching ratio of the the isospin violation decay $J/ψ\rightarrowγη_c \rightarrow γπ^0 a_0^0(1450)\rightarrow γπ^0 a_0^0(980)f_0(500)\rightarrow γπ^0 f_0(980) f_0(500) \rightarrow γπ^0 π^+π^- π^+π^-$. The value of the branching ratio is found to be $O(10^{-6})$, which can be observed with $10^{10}$ $J/ψ$ events collected at BESIII. The narrow peak from the $f_0(980)$-$a_0^0(980)$ mixing in the $π^+π^-$ mass square spectrum can also be observed. In addition, we study the non-resonant decay $a_0^0(1450)\rightarrow f_0(980) π^+π^-(\text{non-resonant})$, which is dominated by the $a_0^0(980)$-$f_{0}(980)$ mixing. We find that the non-resonant decay $a_0^0(1450)\rightarrow f_0(980) π^+π^-$ and the decay $a_0^0(1450)\rightarrow f_0(980) f_0(500)$ can be combined to measure the mixing intensity $ξ_{af}$ in experiment. These decays are the perfect complement to the decay $χ_{c1}\rightarrow f_{0}(980)π^{0}\toπ^{+}π^{-}π^{0}$ which had been observed at BESIII, the observations of them will make the measurement of the mixing intensity $ξ_{af}$ more precisely.
