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arXiv · hep-ph/0610124

Hyperspherical harmonic formalism for tetraquarks

J. Vijande·N. Barnea·A. Valcarce
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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.

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J. Vijande, N. Barnea, A. Valcarce. 2006-10-11. Hyperspherical harmonic formalism for tetraquarks. https://doi.org/10.1142/s0217751x07035835

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