0 1 2 3 4 5 6 x -8 -6 -4 -2 0 2 4 6 V$_{s}$ = x + x$_{s}$  ( x$^{2}$ -  3 R $^{2}$)/(2 R $^{3}$ ) if  x < R V$_{v}$ =  -  /x + x - x$_{v}$  otherwise { R  = 0.336 fm x$_{s}$  = 0.1, x$_{v}$ =  0.2 } x$_{d}$ = x$_{s}$ + x$_{v}$ = 0.3 0.0 0.5 1.0 1.5 2.0 1 2 3 4 5 6 37 FIG. 20: The normalized ground state wave functions ψ$_{a}$ ( x ) (solid curve) and − ψ$_{b}$ ( x ) (dashed curve) when V$_{s}$ ( x ) and V$_{v}$ ( x ) have equal asymptotic slopes. This is the solution for the massless quark case ( u and d quarks) using the parameters given in Eq. (55). Note that the wave functions are very narrow, having decayed away by x = 2. Compare this solution for the massless quark case shown in Fig. 3. FIG. 19: Example of having the (dimensionless) Lorentz scalar V$_{s}$ ( x ) and (smeared) vector V$_{v}$ ( x ) potentials with the same string tension (i.e., the same slopes at large x .)