论文标题

$ b^ - \ to k^-π^0x(3872)$对$ x(3872)$质量的反应和敏感性的三角奇异性

Triangle singularity in the $B^-\to K^-π^0X(3872)$ reaction and sensitivity to the $X(3872)$ mass

论文作者

Sakai, Shuntaro, Oset, Eulogio, Guo, Feng-Kun

论文摘要

我们已经对$ b^ - \至k^ - π^0 x(3872)$通过三角形机制进行反应进行了研究:$ b^ - \ to k^ - d^{*0} \ bar d^{*0} $; $ d^{*0} \至π^0 d^0 $; $ d^0 \ bar d^{*0} \ to x(3872)$。我们表明,这种机制在$π^0 x(3872)$中产生了一个三角形的奇异性,对于$ x(3872)$质量的非常狭窄的窗口,围绕目前的测量值,并表明质量位置和质量分布的形状对$ x(3872)$质量敏感,可以对质量进行质量,以适应​​这种质量,以适应​​该反应,以适应该量的衡量所述,以适应该反应的效果。特别是,我们指出,$ x(3872)$质量相对于$ d^0 \ bar d^{*0} $阈值可以从$π^0x $ line形状的不对称性中提取。

We have done a study of the $B^- \to K^- π^0 X(3872)$ reaction by means of a triangle mechanism via the chain of reactions: $B^- \to K^- D^{*0}\bar D^{*0}$; $D^{*0} \to π^0 D^0$; $D^0\bar D^{*0}\to X(3872)$. We show that this mechanism generates a triangle singularity in the $π^0 X(3872)$ invariant mass for a very narrow window of the $X(3872)$ mass, around the present measured values, and show that the peak positions and the shape of the mass distributions are sensitive to the $X(3872)$ mass, such that a measurement of the reaction can serve to improve on the present values of this mass. In particular, we point out that the $X(3872)$ mass relative to the $D^0\bar D^{*0}$ threshold may be extracted from the asymmetry of the $π^0X$ line shape.

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