Do c c n n bound states exist?

2007/08/24 by J. Vijande, E. Weissman, N. Barnea +1 · 1 citation
Physics and Astronomy · #hep-ph #hep-ex

paper · pdf · doi:10.1103/physrevd.76.094022

published as Phys.Rev.D76:094022,2007 · 30 pages, 2 figures. Accepted for publication in Phys. Rev. D

arxiv created 2007/08/24 · arxiv updated 2009/12/01

Abstract

The four--quark system c c n n is studied in the framework of the constituent quark model. Using different types of quark-quark potentials, we solve the four--body Schrödinger equation by means of the hyperspherical harmonic formalism. Exploring the low laying J^PC states for different isospin configurations no four-quark bound states have been found. Of particular interest is the possible four-quark structure of the X(3872). We rule out the possibility that this particle is a compact tetraquark system, unless additional correlations, either in the form of diquarks or at the level of the interacting potential, not considered in simple quark models do contribute.

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