X(3872)'s excitation and its connection with production at hadron colliders

Abstract

The LHCb collaboration has found that the production rate of Xð3872Þ in proton-proton collisions decreases as final state particle multiplicity increases. Moreover, the ALICE experiment at CERN has observed that the number of deuterons produced increaseswith multiplicity, a behavior that is qualitatively different from that of the Xð3872Þ. These experimental findings may point to a compact structure for the Xð3872Þ or, at least, that its hadronization could proceed through a charm-anticharm core. We have recently used a diffusion Monte Carlo method to solve the 4-body Schrödinger equation that describes the Xð3872Þ as a c¯cq¯q tetraquark systemwith quantum numbers IGðJPCÞ ¼ 0þð1þþÞ and 1−ð1þþÞ.According to our structural analysis, the quark–(anti)quark correlations resemble light-meson–heavy-meson molecules of type ωJ=ψ and ρJ=ψ, rather than the most extended DD¯ interpretation. It was argued that this fact may be the key to make compatible the molecular features of the Xð3872Þwith its production observables. The same formalism allows us to compute the first color excited c¯cq¯q tetraquark state with either IGðJPCÞ ¼ 0þð1þþÞ or 1−ð1þþÞ. A bound-state is found in each channel, their masses are around 4.0 GeV which is an energy region where many new exotic candidates have been collected by the Particle Data Group. Concerning their structural properties, these states cluster in a compact diquark-antidiquark arrangement which matches perfectly with a so-called Born-Oppenheimer tetraquark configuration. The promptly production rates of these states in proton-proton, proton-nucleus and nucleus-nucleus collisions should fall off equal to or even faster than those of the Xð3872Þ.