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Do c[overline c]n[overline n] bound states exist?

AuthorsVijande, Javier ; Weissman, E.; Barnea, N.; Valcarce, A.
KeywordsMulti-quark hadrons
Quantum Chromodynamics (QCD)
[PACS] Nonrelativistic quark model
[PACS] Charmed mesons
[PACS] Nuclear few-body systems
[PACS] Hyperspherical methods (atoms and molecules)
Issue Date19-Nov-2007
PublisherAmerican Physical Society
CitationPhysical Review D 76(9): 094022 (2007)
AbstractThe four-quark system c[overline c]n[overline n] is studied in the framework of the constituent quark model. Using different types of quark-quark potentials, we solve the four-body Schrodinger 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.
Description17 pages, 2 figures.-- PACS nrs.: 12.39.Jh, 14.40.Lb, 21.45.+v, 31.15.Ja.-- ISI Article Identifier: 000251327200045.-- ArXiv pre-print available at: http://arxiv.org/abs/0708.3285
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevD.76.094022
Appears in Collections:(IFIC) Artículos
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