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arxiv: 1210.8073 · v1 · pith:BYZGGX2Mnew · submitted 2012-10-30 · ✦ hep-ph

Relativistic bound states at Born level

classification ✦ hep-ph
keywords statesbornalphaboundpotentialamplitudesannihilationaround
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Theoretical and phenomenological studies indicate that the QCD coupling \alpha_s(Q^2) freezes in the infrared. Hadrons may then be described by a perturbative expansion around "Born" states bound only by a confining potential. A linear potential results from the QCD equations of motion when Gauss' law for A^0 is solved with F_{\mu\nu}^a F^{\mu\nu}_a \neq 0 as boundary condition. The \order{\alpha_s^0} Born states are Poincar\'e covariant and can serve as \ket{in} and \bra{out} states of scattering amplitudes. Their Dirac-type wave functions include f\bar f creation/annihilation effects giving sea-like partons at low x_bj.

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