Speaker
Liping He
(The Ohio State University)
Description
If the $X(3872)$ is a weakly bound charm-meson molecule,
it can be produced by the creation of $D^{*0} \bar{D}^0$ or $D^{0} \bar{D}^{*0}$
at short distances followed by the formation of the bound state from the charm-meson pairs.
It can also be produced by the creation of $D^{*} \bar{D}^*$ at short distances
followed by the rescattering of the charm mesons into $X \pi$.
An effective field theory for charm mesons and pions called XEFT predicts that the rate for producing $X$
accompanied by a pion should be roughly comparable to that for producing an isolated $X$.
We use results of a previous isospin analysis of $B$ meson decays into $K D^{(*)} \bar D^{(*)}$
to estimate the short-distance amplitudes for creating $D^* \bar D^*$.
We use XEFT to calculate the amplitudes for rescattering of $D^{*} \bar{D}^*$ into $X \pi$
with small relative momentum.
The resulting predictions for decays of $B$ mesons into $K X\pi$
are consistent with measurements made by the Belle collaboration.
If $K^* X$ events are removed,
the remaining $K X\pi$ events are predicted to come primarily from the region of the Dalitz plot
where the relative momentum of $X \pi$ is order $m_\pi$ or smaller.
Primary authors
Eric Braaten
(Ohio State University)
Mr
Kevin Ingles
(Ohio State University)
Ms
Liping He
(Ohio State University)
