Dynamical transition between two mesons and a tetraquark

Abstract

We consider a system composed of two identical light quarks ($qq$) and two identical antiquarks ($\bar{Q}\bar{Q}$) that can be linked either as two mesons or as a tetraquark, incorporating quantum correlations between identical particles and an effective many-body potential between particles. We perform a 3-D Monte Carlo simulation of the system, considering the configurations allowed to form: i) Only two mesons, ii) Only tetraquark and iii) two mesons and tetraquark . We characterize each case and determine whether it is energetically more favorable to form a tetraquark or two mesons, as a function of the interparticle separation distance which, for a fixed number of particles, can be identified as a particle density. We determine how the two mesons, which dominate the low density regime, mixes with a tetraquark state as the density increases. Properties like the mean square radius and the two-particle correlation function are found to reflect such transition, and we provide a parameterization of the diquark correlation function in the isolated case. We track the dynamical flipping among configurations to determine the recombination probability, exhibiting the importance of the tetraquark state. We analize the four-body potential evolution and show that its linear behavior is preserved, although the slope can reflect the presence of a mixed state. Results are shown for several light-quarks to heavy-antiquarks mass ratios whenever they are found to be relevant.

11 pages, 14 figures. Replaced to match the published version. Results unchanged, extended discussion

References in corpus (12)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• Four-Quark Hadrons: an Updated Review
• Exotic $QQ\bar{q}\bar{q}$, $QQ\bar{q}\bar{s}$ and $QQ\bar{s}\bar{s}$ states
• Quark structure of the $X(3872)$ and ${\chi }_b(3P)$ resonances
• Stability of multiquarks in a simple string model
• Interpreting $Z_c(3900)$ and $Z_c(4025)/Z_c(4020)$ as charged tetraquark states
• Tetraquark Cusp Effects from Diquark Pair Production
• Adiabaticity and color mixing in tetraquark spectroscopy
• Dynamical quark recombination in ultrarelativistic heavy-ion collisions and the proton to pion ratio
• Meson and tetra-quark mixing

Cited by in corpus (1)

• Some aspects on four quarks recombination