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arXiv 1910.04566hep-ph
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三体衰变的Dalitz图分解

Dalitz-plot decomposition for three-body decays

JPAC Collaboration, M. Mikhasenko, M. Albaladejo, L. Bibrzycki, C. Fernandez-Ramirez, V. Mathieu, S. Mitchell, M. Pappagallo, A. Pilloni, D. Winney, T. Skwarnic… 展开作者

JPAC Collaboration, M. Mikhasenko, M. Albaladejo, L. Bibrzycki, C. Fernandez-Ramirez, V. Mathieu, S. Mitchell, M. Pappagallo, A. Pilloni, D. Winney, T. Skwarnicki, A. P. Szczepaniak

摘要:

我们提出了一个一般的形式主义写的衰变振幅的多体反应与明确的分离的旋转自由度,这是很好地控制的衰变粒子的自旋,和动态功能的子通道不变的质量,这需要建模。使用三粒子运动学,我们证明了建议的因式分解,命名为达利茨图分解。维格纳旋转,这是在螺旋度框架下的等压线建模所需的微妙因素,简化与建议的分解。因此,我们能够提供他们在一个明确的形式适合于一般情况下的任意自旋。唯一未知的模型依赖的因素是描述子通道动态的等压线线形。新的分解的优点是通过三个相关的例子最近发现的奇异粲偶素候选人$Z_c(4430)$,五夸克$P_c$,和有趣的$Λ_c^+\to pK^-π^+$衰变。

英文摘要:

We present a general formalism to write the decay amplitude for multibody reactions with explicit separation of the rotational degrees of freedom, which are well controlled by the spin of the decay particle, and dynamic functions on the subchannel invariant masses, which require modeling. Using the three-particle kinematics we demonstrate the proposed factorization, named the Dalitz-plot decomposition. The Wigner rotations, that are subtle factors needed by the isobar modeling in the helicity framework, are simplified with the proposed decomposition. Consequently, we are able to provide them in an explicit form suitable for the general case of arbitrary spins. The only unknown model-dependent factors are the isobar lineshapes that describe the subchannel dynamics. The advantages of the new decomposition are shown through three examples relevant for the recent discovery of the exotic charmonium candidate $Z_c(4430)$, the pentaquarks $P_c$, and the intriguing $Λ_c^+\to pK^-π^+$ decay.

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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