Hyperspherical harmonic formalism for tetraquarks

Abstract

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. Our analysis shows that 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.

4 pages, to appear in the proceedings of 9th International Workshop on Meson Production, Properties and Interaction (Meson2006), Kracow (Poland), 9 - 13 June 2006

Cited by in corpus (1)

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