Hyperspherical harmonic study of identical-flavor four-quark systems

Abstract

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.

arXiv comment4 pages, Talk given at the 18th International Conference on Few-Body Problems in Physics, August 21-26 2006, Santos, Sao Paulo, Brazil

References in corpus (2)

• Four-quark spectroscopy within the hyperspherical formalism
• Ground State Wave Functions in the Hyperspherical Formalism for Nuclei with A > 4

Cited by in corpus (4)

• Masses of the $QQ\bar{Q}\bar{Q}$ tetraquarks in the relativistic diquark--antidiquark picture
• Fully-heavy tetraquark spectroscopy in the relativistic quark model
• Tetraquark mass relations in quark and diquark models
• Systematic study of fully heavy-flavored tetraquarks $Q_1{Q}_2{\bar{Q}}_1{\bar{Q}}_2(Q_{1;2}\in \left\{b;c\right\})$: Mass spectra, threshold analysis, and confrontation with LHC data