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arXiv 1807.04313hep-phhep-exnucl-th
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酉化共振手征理论中的$η^{\prime}\toηππ$衰变

$η^{\prime}\toηππ$ decays in unitarized resonance chiral theory

Sergi Gonzàlez-Solís, Emilie Passemar

摘要:

我们在$U(3)_{L}\otimes U(3)_{R}$手征微扰理论的框架下研究了强子$η^{\prime}\toηππ$衰变,包括共振态和完全单圈修正。振幅被投影到分波中,并通过$N/D$方法进行单位化,该方法同时表示重要的$S$ -和$D$ -波$ππ$以及次主导的$S$ -波$πη$终态相互作用。参与的标量多重态质量和耦合强度是根据最近由A2合作发布的Dalitz图实验数据确定的。作为我们的分析的副产品,相关的达利兹图斜率参数被发现是$a=-0.072(7)_{\rm{stat}}(8)_{\rm{syst}}\,, b=-0.052(1)_{\rm{stat}}(2)_{\rm{syst}}\,, d=-0.051(8)_{\rm{stat}}(6)_{\rm{syst}}$,这是在目前的实验和理论测定的球场。

英文摘要:

We study the hadronic $η^{\prime}\toηππ$ decays within the framework of $U(3)_{L}\otimes U(3)_{R}$ Chiral Perturbation Theory including resonance states and the complete one-loop corrections. The amplitude is projected in partial waves and unitarized by means of the $N/D$ method resumming both the important $S$-and $D$-wave $ππ$ and the subleading $S$-wave $πη$ final-state interactions. The participating scalar multiplet mass and coupling strengths are determined from fits to the Dalitz plot experimental data recently released by the A2 collaboration. As a byproduct of our analysis, the associated Dalitz-plot slope parameters are found to be $a=-0.072(7)_{\rm{stat}}(8)_{\rm{syst}}\,, b=-0.052(1)_{\rm{stat}}(2)_{\rm{syst}}\,, d=-0.051(8)_{\rm{stat}}(6)_{\rm{syst}}$, which lie in the ballpark of the current experimental and theoretical determinations.

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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