We investigate the spectrum and wave functions of ${\overline{q}}^{\prime }{q}^{\prime }$ bound states for heavy fourth generation quarks ($q^{\prime }$) 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, ${\lambda }_{q^{\prime }}$, is large we include all perturbative corrections to the potential between the heavy quark and antiquark of order ${\lambda }_{q^{\prime }}^2{N}_c/16{\pi }^2$ where $N_c$ is the number of colors, as well as relativistic corrections suppressed by $(v/c{)}^2$. 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.

Close

PrevNext

View figure in article

• 
• 
• 
• 
• 
• 
• 
• 
•