Colour-singlet clusters in systems composed of six quarks

Abstract

We present an investigation of six quarks system kinematics, independent on quark-quark interactions. There has been created and investigated basis of six quarks antisymmetrical and translationally invariant functions, applying formalism with spin, isospin, and color degrees of freedom and many-particle harmonic oscillator (HO) functions, dependent on Jacobian variables. We have also investigated expansions of realistic wave-functions in this basis. There are given analytical expressions for matrix elements of three and six particle antisymmetrizers and probability to find two colorless hadrons in six quarks system.