Fourth generation bound states

We investigate the spectrum and wave functions of q0q0 bound states for heavy fourth generation quarks (q0) that have a very small mixing with the three observed generations of standard model quarks. Such bound states come with different color, spin and flavor quantum numbers. Since the fourth generation Yukawa coupling, q0 , is large we include all perturbative corrections to the potential between the heavy quark and antiquark of order 2q0Nc=16 2 where Nc is the number of colors, as well as relativistic corrections suppressed by ðv=cÞ2. We find that the lightest fourth generation quark masses for which a bound state exists for color octet states. For the color singlet states, which always have a bound state, we analyze the influence that the Higgs couplings have on the size and binding energy of the bound states.