Dynamical transition between two mesons and a tetraquark
Abstract
We consider a system composed of two identical light quarks (q q ) and two identical antiquarks (Q ̄Q ̄ ) that can be linked either as two mesons or as a tetraquark, incorporating quantum correlations between identical particles and an effective manybody potential between particles. We perform a threedimensional Monte Carlo simulation of the system, considering the configurations allowed to form: i) Only two mesons, ii) only tetraquark, and iii) two mesons and a 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 twoparticle correlation function are found to reflect such transition, and we provide a parametrization 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 analyze the fourbody 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 lightquarks to heavyantiquarks mass ratios whenever they are found to be relevant.
 Publication:

Physical Review C
 Pub Date:
 December 2015
 DOI:
 10.1103/PhysRevC.92.065204
 arXiv:
 arXiv:1509.07563
 Bibcode:
 2015PhRvC..92f5204T
 Keywords:

 14.40.Rt;
 12.38.Lg;
 12.39.Pn;
 12.39.Jh;
 Other nonperturbative calculations;
 Potential models;
 Nonrelativistic quark model;
 High Energy Physics  Phenomenology;
 Nuclear Theory
 EPrint:
 11 pages, 14 figures. Replaced to match the published version. Results unchanged, extended discussion