1998/03/09 by A. J. Buchmann, Georg Wagner, Amand Faessler · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevc.57.3340
published as Phys.Rev.C57:3340-3355,1998 · 35 pages, 6 figures, revtex, accepted for publication in Phys. Rev. C
arxiv created 1998/03/09 · openalex publication_date 1998/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The mass and wave function of a six-quark system with quantum numbers JP=0^\ensuremath-, T=0, called d^\ensuremath', 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-\ensuremathσ 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^\ensuremath' mass is some 350 MeV above the empirical value if the same two-body confinement strength as in the nucleon and \ensuremathΔ 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^\ensuremath', could be weaker than in a single baryon. The weaker confinement hypothesis leads to a d^\ensuremath' mass of M_d^\ensuremath'=2092 MeV and a d^\ensuremath' radius of r_d^\ensuremath'=1.53 fm.