Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-11-20
Few Body Syst.44:99-101,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
3 pages. Contribution to the 20th European Conference on Few-Body Problems in Physics, Pisa, Italy. To be published in Few-Bod
Scientific paper
10.1007/s00601-008-0266-y
To obtain an exact solution of a four-body system containing two quarks and two antiquarks interacting through two-body terms is a cumbersome task that has been tackled with more or less success during the last decades. We present an exact method for the study of four-quark systems based on the hyperspherical harmonics formalism that allows us to solve it without resorting to further approximations, like for instance the existence of diquark components. We apply it to systems containing two heavy and two light quarks using different quark-quark potentials. While $QQ\bar n \bar n$ states may be stable in nature, the stability of $Q\bar Qn \bar n$ states would imply the existence of quark correlations not taken into account by simple quark dynamical models.
Barnea Nir
Valcarce Aldo
Vijande Javier
Weissman E.
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