Four-quark spectroscopy within the hyperspherical formalism

N. Barnea*, J. Vijande, A. Valcarce

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

122 Scopus citations


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 nonexotic 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.

Original languageAmerican English
Article number054004
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number5
StatePublished - 2006


Dive into the research topics of 'Four-quark spectroscopy within the hyperspherical formalism'. Together they form a unique fingerprint.

Cite this