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.
Hadron Spectroscopy and Structure from AdS/CFT
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abstract
The AdS/CFT correspondence between conformal field theory and string states in an extended space-time has provided new insights into not only hadron spectra, but also their light-front wavefunctions. We show that there is an exact correspondence between the fifth-dimensional coordinate of anti-de Sitter space and a specific impact variable which measures the separation of the constituents within the hadron in ordinary space-time. This connection allows one to predict the form of the light-front wavefunctions of mesons and baryons, the fundamental entities which encode hadron properties and scattering amplitudes. A new relativistic Schrodinger light-front equation is found which reproduces the results obtained using the fifth-dimensional theory. Since they are complete and orthonormal, the AdS/CFT model wavefunctions can be used as an initial ansatz for a variational treatment or as a basis for the diagonalization of the light-front QCD Hamiltonian. A number of applications of light-front wavefunctions are also discussed.
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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.