Rajeev - Physics

Baryons are SolitonsBecause (M + ε) 2 = 1, its eigenvalues are ±1.The index of M + ε, (thedifferencebetweenthenumberofpositive and negative eigenvalues) is an integerIf we translate this into the quark representationtr M = M(x,x)dx = 1 N c : q † (x)q(x):dx.This is just the baryon number.The minimum energy configuration in the sector with indexone is the baryon.This is a non-linear integral equation that can be solvednumerically: very reasonable shape of wave functionSeparable variational ansatz M(x,y)=u ∗ (x)u(y) yields avalence quark model.A generalization of the Skyrme model including all the mesonstates.S. G. Rajeev Progress on the Skyrme Model