Four-quark spectroscopy within the hyperspherical formalism

Details Four-quark spectroscopy within the hyperspherical formalism Four-quark spectroscopy within the hyperspherical formalism

2006-04-03

arxiv.org/abs/hep-ph/0604010v1

Phys.Rev.D73:054004,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 3 figures

Scientific paper

10.1103/PhysRevD.73.054004

We present a generalization of the hyperspherical harmonic formalism to study systems made of quarks and antiquarks of the same flavor. This generalization is based on the symmetrization of the $N-$body wave function with respect to the symmetric group using the Barnea and Novoselsky algorithm. The formalism is applied to study four-quark systems by means of a constituent quark model successful in the description of the two- and three-quark systems. The results are compared to those obtained by means of variational approaches. Our analysis shows that four-quark systems with exotic $0^{+-}$ and non-exotic $2^{++}$ quantum numbers may be bound independently of the mass of the quark. $2^{+-}$ and $1^{+-}$ states become attractive only for larger mass of the quarks.

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