Hyperspherical harmonic study of identical-flavor four-quark systems

Physics – High Energy Physics – High Energy Physics - Phenomenology

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4 pages, Talk given at the 18th International Conference on Few-Body Problems in Physics, August 21-26 2006, Santos, Sao Paulo

Scientific paper

10.1016/j.nuclphysa.2007.03.091

We present an exact method based on a hyperspherical harmonic expansion to study systems made of quarks and antiquarks of the same flavor. Our formalism reproduces and improves the results obtained with variational approaches. This analysis shows that identical-flavor four-quark systems with non-exotic $2^{++}$ quantum numbers may be bound independently of the quark mass. $0^{+-}$ and $1^{+-}$ states become attractive only for larger quarks masses.

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