d' dibaryon in a colored cluster model

Abstract

The mass and wave function of a six-quark system with quantum numbers JP=0-, T=0, called d′, are calculated. We use a colored diquark-tetraquark cluster model for the six-quark wave function. A constituent quark model Hamiltonian with a two-body confinement potential, and residual one-gluon, one-pion, and one-σ exchange interactions is used. The complications due to the quark exchange interactions between tetraquark and diquark clusters (Pauli principle) are taken into account within the framework of the resonating group method. The calculated d′ mass is some 350 MeV above the empirical value if the same two-body confinement strength as in the nucleon and Δ is used. This paper also examines the validity of the usual assumption of a universal two-quark confinement strength. We propose that the effective two-body confinement strength in an exotic six-quark system, such as the d′, could be weaker than in a single baryon. The weaker confinement hypothesis leads to a d′ mass of Md′=2092 MeV and a d′ radius of rd′=1.53 fm.