Abstract
The problem of understanding loosely bound hadron molecules prompt production at hadron colliders is still open: how is it possible that meson molecules with binding energy compatible with zero could be formed within the bulk of the hadrons ejected in very high energy collisions? Monte Carlo simulations have been performed in the literature, leading to production cross sections, two orders of magnitude which were smaller than the experimental value. One possible mechanism to reduce this gap could be final state interactions of heavy mesons, but a precise evaluation of such effect is challenged by the presence of pions between the molecular constituents. In this paper, we present a new mechanism by using precisely such comoving pions. Heavy meson pairs can indeed slow down because of elastic scattering with surrounding pions. The number of low-relative-momentum meson pairs increases, thereby enhancing prompt production cross section. In this preliminar simulation, we show that an enhancement of 100 is indeed possible.
Highlights
The problem of understanding the loosely bound hadron molecule formation in pp p collisions at Tevatron and LHC energies is still open
A recent measurement by the CMS Collaboration [1] basically confirms, at higher energies, older Tevatron results on the prompt production of X 3872 which were first addressed in [2]
The number of selected pairs allowed to estimate an upper bound on the prompt1 production cross section of the X 3872 which was found to be at least 30 times smaller than the experimental value
Summary
The problem of understanding the loosely bound hadron molecule formation in pp p collisions at Tevatron and LHC energies is still open. A recent measurement by the CMS Collaboration [1] basically confirms, at higher energies, older Tevatron results on the prompt production of X 3872 which were first addressed in [2]. Looking at these new results [1], the questions remain the same as those raised in [2]: how is it possible that a very long lived molecule of a D0 and a D*0 meson, with binding energy compatible with zero, could be formed within the bulk of the hadrons ejected in very high energy pp p collisions? With similar results, in [3], where it was observed that a more appropriate treatment of Tevatron data would rather indicate a discrepancy with theoretical expectations by a factor of 300
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