X (3872) line shapes

Mar 14, 2017, 11:00 AM
Lecture Hall (Bad Honnef)

Lecture Hall

Bad Honnef

Topic 3: Theoretical Constraints on Amplitude Analyses Session


Prof. J.A. Oller


We introduce a near-threshold parameterization that is more general than the effective-range expansion
up to and including the effective-range because it can also handle with a near-threhold zero in the
$D^0\bar{D}^{*0}$ S-wave. In terms of it we analyze the CDF data on inclusive $p\bar{p}$ scattering to $J/\psi \pi^+\pi^-$, and the Belle and BaBar data on charged B decays to $K\, J/\psi \pi^+\pi^-$ and $K D\bar{D}^0\pi^0$ around the $D^0\bar{D}^{*0}$ threshold. It is shown that data can be reproduced with a similar quality for the X(3872) being a bound {\it and/or} virtual state. We also find that the X(3872) might be two virtual-state poles, that give rise to a second-order S-matrix pole in the limit in which the small $D^{*0}$ width vanishes. The $D^0\bar{D}^{*0}$ compositeness coefficient ranges from nearly 0 up to 1 in different scenarios.

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