Derives λ, ρ1, ρ2, σ1, and σ2 Regge trajectories for the hexaquark (ū(cc))(b(b̄b̄)) in the triquark-antitriquark picture, showing substructure is required for most series and giving rough mass estimates for excited states.
Quark States near a Threshold and the Unstable H-dibaryon
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abstract
We consider the interplay of a quark state and a hadronic threshold in the framework of the P-matrix formalism, which is reviewed and extended for use together with conventional methods of computing quark-gluon dynamics. We provide a quantitative dynamical interpretation of the reduced R or K matrices and their poles that suggests a natural classification of threshold phenomena. At a threshold with a quark state close to it up to three S-matrix poles can be found. The scattering amplitudes for the corresponding cases are discussed. Our analysis is applied to make an outlook for experimental observation of the doubly strange H-dibaryon if it is not stable to strong decays.
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$\lambda$, $\rho$, and $\sigma$ Regge trajectories for the hexaquark ${(\bar{u}(cc))(b(\bar{b}\bar{b}))}$ in the triquark-antitriquark picture
Derives λ, ρ1, ρ2, σ1, and σ2 Regge trajectories for the hexaquark (ū(cc))(b(b̄b̄)) in the triquark-antitriquark picture, showing substructure is required for most series and giving rough mass estimates for excited states.