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$Σ(1430)(1/2^-)$在$J/ψ→Λ\barΛ π^0$反应中的作用

Role of the $Σ(1430)(1/2^-)$ in the $J/ψ\to Λ\barΛ π^0$ reaction

School of Physics, University of Electronic Science and Technology of China(电子科技大学物理学院);Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC(瓦伦西亚大学-西班牙国家科学研究委员会理论物理与IFIC联合中心);School of Physics, Zhengzhou University(郑州大学物理学院)

Yu-Shan Ren, Wen-Tao Lyu, Eulogio Oset

AI总结:

研究$J/ψ→Λ\barΛ π^0$反应中$Σ(1430)(1/2^-)$态的生成与$Σ(1385)(3/2^+)$态的缺失。

摘要:

我们研究了$J/ψ→\bar{Λ}Λπ^0$反应,这是一种违反异ospin的反应,通过分析由$u,d,s$夸克构成的三重态轻子-反轻子-伪标量介子的单态,这些项保持异ospin;然而,一旦考虑介子-轻子和介子-反轻子的最终态相互作用,由于同一异ospin多重态中粒子质量不同,异ospin会被破坏。由于该反应与粒子相互作用有关,只有由这些相互作用动态生成的共振态才会出现在反应中。在这种意义上,我们的方法产生了$Σ(1430)(1/2^-)$态,而不是$Σ(1385)(3/2^+)$. 与BESIII数据比较发现,在实验有限的统计数据下,数据在$M_{πΛ}=1430$ MeV附近显示出结构,这被理论所再现,而$Σ(1385)(3/2^+)$没有被观测到,这与理论预测一致。我们呼吁在更好的统计数据可用时更新实验。

英文摘要:

We study the $J/ψ\to \barΛ Λπ^0$ reaction, an isospin violating reaction, by looking at the trios of baryon-antibaryon-pseudoscalar meson that conform a singlet of $\text{SU}(3)$ in the $u, d, s$ quarks. These terms conserve isospin; however, once the final-state interactions of meson-baryon and meson-antibaryon are taken into account, isospin is violated due to the different masses of particles within the same isospin multiplets. Since the reaction is tied to the interaction of particles, only resonances that are dynamically generated by these interactions show up in the reaction. In this sense, our approach produces the $Σ(1430)(1/2^-)$ state, but not the $Σ(1385)(3/2^+)$. Comparing with the BESIII data we observe that, within the limited statistics of the experiment, the data show a structure {around $M_{πΛ} = 1430$ MeV} that is reproduced by the theory, and no signal is seen for the $Σ(1385)(3/2^+)$ as the theory predicts. We call for a future update of the experiment once better statistics become available.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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