Abstract
In a recent Letter 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¯∗ meson. Under this hypothesis we find that it is impossible to explain the high prompt production cross section found by CDF at σ(X(3872))∼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 D0D¯∗0 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 Xs=DsD¯s∗, could be similarly enhanced. Xs should then be detectable at CDF with a mass of 4080 MeV and a prompt production cross section of σ(Xs)∼1–3 nb.
Highlights
In a recent paper [1] we have proposed a method for estimating the prompt production cross section of X(3872) [2] at the Tevatron making the assumption that X is a loosely bound molecule of D and D ∗, with a binding energy as small as E0 = −0.25 ± 0.40 MeV
The motivation for this study is that, after the Belle discovery, CDF and D0 confirmed the X(3872) in proton-antiproton collisions [5, 6] and it seems at odds with common intuition that such a loosely bound molecule could be produced promptly in a high energy hadron collision environment. This was one of the initial motivations to consider the possibility that the X(3872) could be, instead of a molecule, a ‘point-like’ hadron resulting from the binding of a diquark and an antidiquark [7], following the interpretation proposed by Jaffe and Wilczek [8] of pentaquark baryons
Two The molecule production cross section will be proportional to the number of D0D ∗0 pairs in the event
Summary
In a recent paper [1] we have proposed a method for estimating the prompt production cross section of X(3872) [2] at the Tevatron making the assumption that X is a loosely bound molecule of D and D ∗, with a binding energy as small as E0 = −0.25 ± 0.40 MeV. Two The molecule production cross section will be proportional to the number of D0D ∗0 pairs in the event.
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