6533b833fe1ef96bd129b615
RESEARCH PRODUCT
Docc¯nn¯bound states exist?
N. BarneaN. BarneaA. ValcarceJavier VijandeJavier VijandeE. Weissmansubject
QuarkPhysicsNuclear and High Energy PhysicsHigh Energy Physics::LatticeNuclear TheoryHigh Energy Physics::PhenomenologyQuark modelConstituent quarkParticle identificationSchrödinger equationsymbols.namesakeIsospinQuantum mechanicsBound statesymbolsHigh Energy Physics::ExperimentTetraquarkMathematical physicsdescription
The 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 Schr\"odinger equation by means of the hyperspherical harmonic formalism. Exploring the low laying ${J}^{\mathrm{PC}}$ 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-11-19 | Physical Review D |