10-12 March 2020
Academpark
Asia/Novosibirsk timezone

Anomalous decay $X(3872)\to\pi^0\pi^+\pi^-$ caused by the triangle logarithmic singularity

10 Mar 2020, 14:00
20m
Academpark

Academpark

Nikolaev str. 12, Novosibirsk, Russia
Oral presentation Физика тяжелых кварков Физика тяжелых кварков

Speakers

Dr Georgii Shestakov (Sobolev Institute for Mathematics, Novosibirsk) Prof. Nikolai Achasov (Sobolev Institute for Mathematics, Novosibirsk)

Description

The isospin-breaking decay $X(3872)\to(D^*\bar D+ \bar D^*D) \to\pi^0D\bar D\to\pi^0\pi^+\pi^-$ is discussed. In its amplitude there is a triangle logarithmic singularity, due to which the dominant contribution to $BR(X(3872)\to\pi^0\pi^+\pi^-)$ comes from the production of the $\pi^+\pi^-$ system in a narrow interval of the invariant mass $m_{\pi^+\pi^-}$ near the value of $2m_{D^0} \approx 3.73$ GeV. The analysis shows that $BR(X(3872)\to\pi^0 \pi^+\pi^-)$ can be expected at the level of $10^{-3}$--$10^{-4}$.

Primary authors

Dr Georgii Shestakov (Sobolev Institute for Mathematics, Novosibirsk) Prof. Nikolai Achasov (Sobolev Institute for Mathematics, Novosibirsk)

Presentation Materials