formalism. In Sec. III, we apply our method to the construction of augmented light- front wave function amplitudes for the three-quark Fock component of nucleon and quark- antiquark component of the pion. We summarize our paper in Sec. IV. II. GENERAL DERIVATIONS We start our derivation by constructing the general form for a Fock state expansion of any given hadron, where P and S are the momentum and spin of the hadron, d [ i ] = dx$_{i}$d $^{2}$k$_{i}$$_{⊥}$ / $_{(}$√$_{2}$$_{x}$$_{i}$$_{(2}$$_{π}$$_{)}$ $^{3}$) with the overall constraint on x$_{i}$ and k$_{i}$$_{⊥}$ implicit. For convenience, in following calculations we set the transverse momentum of hadron equal zero: P$_{⊥}$ = 0. Because the wave functions are boost invariant, all our results can be extended to more general case with P$_{⊥}$ = 0. In this Fock state, each parton is represented by the associated creation operator a † $_{i}$( k$_{i}$ ) with k µ i = ( k + i , ⃗ k$_{⊥}$$_{i}$ ) = ( x$_{i}$P $^{+}$, ⃗ k$_{⊥}$$_{i}$ ), which contains certain longitudinal momentum k + i = x$_{i}$P + and transverse momentum k$_{i}$$_{⊥}$ , whereas the minus component is determined by the on-shell condition k − i = ( k 2 ⊥ + m 2 $_{i}$) /k + i . Implicitly, the above light-front wave function amplitude ψ$_{n}$ depends on the orbital angular momentum projection from the constituents with the form of ( k x i ± k y $_{i}$) [17]. Since the following derivation does not depend on this structure, we will not include it explicitly. As discussed in the Introduction, the definition of a light-front wave function amplitude ψ$_{n}$ can be extended to include rescattering effects so its phase is not necessary real. We can obtain the imaginary part (or the phase), by iterating the light-front wave function eigensolutions employing a particular boundary condition for the gauge field. In fact as we shall show, the phase of the augmented wavefunctions can be computed perturbatively by applying light-front time-ordered perturbation theory [2] analogous to the Lippmann- Schwinger method. The first order correction to the LFWF can be obtained by iterating the Light-Front equation of motion: | P, S 〉 = ∑ n ∫ n ∏ i =1 d [ i ] ψ$_{n}$ ( x$_{i}$, k$_{i}$$_{⊥}$, λ$_{i}$ ) a † $_{1}$a † $_{2}$...a † n | 0 〉 , (1) ( P − − ∑ k $^{−}$) ψ$_{n}$ ( x$_{i}$, k$_{i}$$_{⊥}$ ) = ∫ d [ i ] $^{′}$K [ k ; ℓ ] ⊗ ψ ′ $_{n}$( y$_{i}$, ℓ$_{i}$$_{⊥}$ ) , (2) 4