Do $c\bar c n\bar n$ bound states exist?

Details Do $c\bar c n\bar n$ bound states exist? Do $c\bar c n\bar n$ bound states exist?

2007-08-24

arxiv.org/abs/0708.3285v1

Phys.Rev.D76:094022,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 2 figures. Accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.76.094022

The four--quark system $c\bar c n\bar n$ is studied in the framework of the constituent quark model. Using different types of quark-quark potentials, we solve the four--body Schr\"odinger 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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