Relativistic bound states at Born level

TL;DR

This paper proposes a framework where hadrons are described by Born-level states bound by a confining potential, incorporating relativistic effects and sea-like partons, based on solutions to QCD equations of motion.

Contribution

It introduces a Poincaré covariant approach to bound states using a linear potential derived from QCD, including sea-like partons at low x_bj.

Findings

Born states are Poincaré covariant and serve as scattering states.

Wave functions include sea-like partons from far f effects.

Linear potential derived from QCD equations of motion.

Abstract

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.