More loosely bound hadron molecules at CDF?

TL;DR

This paper examines whether the X(3872) and a similar D_s D_s*bar molecule can be produced at rates consistent with experimental data, considering the effects of strong final state interactions.

Contribution

It evaluates the impact of final state interactions on the production cross sections of loosely bound hadron molecules at the Tevatron.

Findings

X(3872) production cross section remains too high for a simple molecular interpretation.

Final state interactions could enhance the production of D_s D_s*bar molecules.

Predicted X_s molecule could be detectable with a cross section of 1-3 nb.

Abstract

In a recent paper we have proposed a method to estimate the prompt production cross section of X(3872) at the Tevatron assuming that this particle is a loosely bound molecule of a D and a D*bar meson. Under this hypothesis we find that it is impossible to explain the high prompt production cross section found by CDF at sigma(X(3872)) \sim 30-70 nb as our theoretical prediction is about 300 times smaller than the measured one. Following our work, Artoisenet and Braaten, have suggested that final state interactions in the DD*bar system might be so strong to push the result we obtained for the cross section up to the experimental value. Relying on their conclusions we show that the production of another very narrow loosely bound molecule, the X_s=D_s D_s*bar, could be similarly enhanced. X_s should then be detectable at CDF with a mass of 4080 MeV and a prompt production cross section of sigma(X_s) \sim 1-3 nb.