On $X(3872)$ production in high energy heavy ion collisions

Abstract

We have determined the production cross sections of the $X(3872)$ state in the reactions $\bar{D}D\to \pi X$, ${\bar{D}}^{\ast }D\to \pi X$ and ${\bar{D}}^{\ast }{D}^{\ast }\to \pi X$, information which is useful for studies of the $X(3872)$ meson abundance in heavy ion collisions. We construct a formalism considering $X$ as a molecular bound state of ${\bar{D}}^0{D}^{\ast 0}-\text{c.c}$, $D^{-}{D}^{\ast +}-\text{c.c}$ and $D_s^{-}{D}_s^{\ast +}-\text{c.c}$. To obtain the amplitudes related to these processes we have made use of effective field Lagrangians. The evaluation of the cross section of the processes involving $D^{\ast }$ meson(s) requires the calculation of an anomalous vertex, $X{\bar{D}}^{\ast }{D}^{\ast }$, which has been obtained by considering triangular loops motivated by the molecular nature of $X(3872)$. Proceeding in this way, we have evaluated the cross section for the reaction ${\bar{D}}^{\ast }D\to \pi X$, and find that the diagrams involving the $X{\bar{D}}^{\ast }{D}^{\ast }$ vertex give a large contribution. Encouraged by this finding we estimate the $X{\bar{D}}^{\ast }{D}^{\ast }$ coupling, which turns out to be $1.95\pm 0.22$. We then use it to obtain the cross section for the reaction ${\bar{D}}^{\ast }{D}^{\ast }\to \pi X$ and find that, in this case too, the $X{\bar{D}}^{\ast }{D}^{\ast }$ vertex is relevant. We also discuss the role of the charged components of $X$ in the determination of the production cross sections.

References in corpus (18)

• Heavy quarkonium: progress, puzzles, and opportunities
• Can the X(3872) be a 1^{++} four-quark state?
• Pion Interactions in the X(3872)
• Is the X(3872) Production Cross Section at Tevatron Compatible with a Hadron Molecule Interpretation?
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• Axial Resonances in the Open and Hidden Charm Sectors
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• Multi-quark hadrons from Heavy Ion Collisions
• Isospin breaking effects in the X(3872) resonance
• X(3872) as a hadronic molecule and its decays to charmonium states and pions
• QCD Sum Rules for the X(3872) as a mixed molecule-charmoniun state
• Production of Tetraquarks at the LHC
• Vector meson-Baryon dynamics and generation of resonances
• Estimating the Production Rate of Loosely-bound Hadronic Molecules using Event Generators
• The radiative decay of $\psi (3770)$ into the predicted scalar state X(3700)
• Meson loops in the $f_0(980)$ and $a_0(980)$ radiative decays into $\rho$, $\omega$
• Strong Couplings of X(3872)_{J=1,2} and a New Look at J/psi Suppression in Heavy Ion Collisions
• Magnetic interaction induced by the anomaly in kaon-photoproductions

Cited by in corpus (4)

• Production of exotic hadrons in $pp$ and nuclear collisions
• Hadronic states with both open charm and bottom in effective field theory
• On the two-body decay processes of the predicted three-body $K^{\ast }(4307)$ resonance
• The $D^{\ast }/D$ ratio in heavy ion collisions