Inclusive production of theX(3872)

Abstract

If the $X(3872)$ is a loosely-bound ${D}^{*0}{\overline{D}}^{0}/{D}^{0}{\overline{D}}^{*0}$ molecule, its inclusive production rate can be described by the NRQCD factorization formalism that applies to inclusive quarkonium production. We argue that if the molecule has quantum numbers ${J}^{PC}={1}^{++}$, the most important term in the factorization formula should be the color-octet $^{3}S_{1}$ term. This is also one of the two most important terms in the factorization formulas for ${\ensuremath{\chi}}_{cJ}$. Since the color-octet $^{3}S_{1}$ term dominates ${\ensuremath{\chi}}_{cJ}$ production for many processes, the ratio of the inclusive direct production rates for $X$ and ${\ensuremath{\chi}}_{cJ}$ should be roughly the same for these processes. The assumption that the ratio of the production rates for $X$ and ${\ensuremath{\chi}}_{cJ}$ is the same for all processes is used to estimate the inclusive production rate of $X$ in $B$ meson decays, ${Z}^{0}$ decays, and in $p\overline{p}$ collisions.