Dalitz-plot decomposition for three-body decays

M. Mikhasenko; M. Albaladejo; ?. Bibrzycki; C. Fernández-Ramírez; V. Mathieu; S. Mitchell; M. Pappagallo; A. Pilloni; D. Winney; T. Skwarnicki; A.?P. Szczepaniak

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Dalitz-plot decomposition for three-body decays

机译：三体衰变的Dalitz-Clot分解

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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, which 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 line shapes 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 + → p K ? π + decay.

机译：我们展示了一般的形式主义，以便用旋转自由度的明确分离来写入多体反应的衰减幅度，这通过衰减粒子的旋转良好控制，以及需要建模的子信道不变质量上的动态功能。使用三粒子运动学我们展示了所提出的分解，命名为dalitz-plot分解。通过所提出的分解简化了由ISOBAR建模所需的微妙因素的Wigner旋转。因此，我们能够以适合于任意旋转的一般情况的明确形式提供它们。唯一未知的模型依赖性因子是描述子信道动态的异等管线形状。新分解的优点是通过与最近发现的异国富孔候选Z C（4430），PentaQuark P C和LINTIGINGλc+→P k？ Π+腐烂。

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《Physical review, D》 |2020年第3期|共15页
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M. Mikhasenko; M. Albaladejo; ?. Bibrzycki; C. Fernández-Ramírez; V. Mathieu; S. Mitchell; M. Pappagallo; A. Pilloni; D. Winney; T. Skwarnicki; A.?P. Szczepaniak;
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机译：B〜±→K〜±K〜+ K〜-衰变中C P不对称的Dalitz-plot依赖性
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3. Width effects in resonant three-body decays: B decay as an example [J] . Hai-Yang Cheng, Cheng-Wei Chiang, Chun-Khiang Chua Physics letters . 2021,第1期

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5. The measurement of CP asymmetries in the three-body charmless decay neutral B meson decays to neutral kaon(S) neutral kaon(S) neutral kaon(S). [D] . Hadavand, Haleh K. 2005

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机译：三体衰减的Dalitz-Clot分解

Dalitz-plot decomposition for three-body decays

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