Analysis of $X(3872)$ production via Heavy-Meson Effective Theory

Abstract

We analyze the $X(3872)$ production in the processes $\bar{D}D\to \pi X$, ${\bar{D}}^{\ast }D\to \pi X$ and ${\bar{D}}^{\ast }{D}^{\ast }\to \pi X$, making use of the Heavy-Meson Effective Theory, with an effective Lagrangian built based on chiral $SU(3{)}_L\times SU(3{)}_R$ and heavy quark symmetries. In this scenario, we consider $X$ as a bound state of $D^{\ast }\bar{D}+c.c.$, including neutral and charged components, and obtain the cross sections the mentioned reactions as function of collision energy.

Comments: Accepted for publication in PTEP