Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1998-02-06
Phys.Rev.C57:2655-2668,1998
Physics
Nuclear Physics
Nuclear Theory
26 pages, to appear in Phys. Rev. C (May 1998)
Scientific paper
10.1103/PhysRevC.57.2655
In the theory of deep inelastic scattering (DIS) the final state interaction (FSI) between the struck quark and the remnants of the target is usually assumed to be negligible in the Bjorken limit. This assumption, still awaiting a full validation within nonperturbative QCD, is investigated in a model composed by two relativistic particles, interacting via a relativistic harmonic oscillator potential, within light-cone hamiltonian dynamics. An electromagnetic current operator whose matrix elements behave properly under Poincar\'e transformations is adopted. It is shown that: i) the parton model is recovered, once the standard parton model assumptions are adopted; and ii) when relativistic, interacting eigenfunctions are exactly taken into account for both the initial and final states, the values of the structure functions, averaged over small, but finite intervals of the Bjorken variable $x$, coincide with the results of the parton model in the Bjorken limit.
Lev Felix M.
Pace Emanuele
Salme` Giovanni
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