On the existence of exotic and non-exotic multiquark meson states |
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Authors: | J Vijande E Weissman A Valcarce N Barnea |
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Institution: | Departamento de Física Teórica e IFIC, Universidad de Valencia, Burjassot, Spain Departamento de Física Fundamental, Universidad de Salamanca, Salamanca, Spain The Racah Institute of Physics, The Hebrew University, Jerusalem, Israel Institute for Nuclear Theory, University of Washington, Seattle, WA, USA
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Abstract: | 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 $Q\overline{Q}n {\bar n}$ states would imply the existence of quark correlations not taken into account by simple quark dynamical models. |
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