By S. Ketov

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4. Basis light-front quantization applied to QED We deﬁne our light-front coordinates as x ± = x0 ± x3 , x ⊥ = ( x1 , x2 ), where the variable x + is light-front time and x − is the longitudinal coordinate. We adopt x + = 0, the “null plane", for our quantization surface. Here we adopt basis states for each constituent that consist of transverse 2D harmonic oscillator (HO) states combined with discretized longitudinal modes, plane waves, satisfying selected boundary conditions. This basis function approach follows Refs.

The rhombs show original OBEP results. , discussion in Sec. 5 of lecture (Shebeko & Shirokov, 2000)). In the CPR with H = K (αc ) (Eq. (110)) and N = B(αc ) (Eq. (112)) the deuteron state |P = 0, M (|P = q, M ) in the rest (the frame moving with the velocity v = q/md ) meets the eigenvalue equation μ (133) Pμ |P, M = Pd |P, M μ with the three-momentum transfer q, four-momentum Pd = ( Ed , P), Ed = m p + mn − ε d and the deuteron binding energy ε d > 0. , 2002)) by introducing the corresponding covariant form factors.

5 of lecture (Shebeko & Shirokov, 2000)). In the CPR with H = K (αc ) (Eq. (110)) and N = B(αc ) (Eq. (112)) the deuteron state |P = 0, M (|P = q, M ) in the rest (the frame moving with the velocity v = q/md ) meets the eigenvalue equation μ (133) Pμ |P, M = Pd |P, M μ with the three-momentum transfer q, four-momentum Pd = ( Ed , P), Ed = m p + mn − ε d and the deuteron binding energy ε d > 0. , 2002)) by introducing the corresponding covariant form factors. With the aid of cumbersome numerical methods the latter have been evaluated in terms of the Mandelstam current sandwiched between the deuteron BS amplitudes.