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arxiv: hep-ph/0107042 · v2 · pith:HBVAVUSVnew · submitted 2001-07-05 · ✦ hep-ph · hep-ex· hep-th· nucl-th

Distortions in the negative energy Dirac sea: violation of the Gottfried sum rule and Deltabar{u} in proton

classification ✦ hep-ph hep-exhep-thnucl-th
keywords diracdeltastructureviolationconfiningdistortionsenergygottfried
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We report on recent work concerning the effect which the change in vacuum structure (negative energy Dirac sea), in the presence of a confining scalar field, has on the nucleon structure functions and parton distributions. Using the Dirac equation in 1+1 dimensions, we show that distortions in the Dirac sea are responsible for part of the violation of the Gottfried sum rule -- i.e., part of the flavor asymmetry in the proton sea. Our basic argument is that, even if isospin is an exact symmetry, the presence of a confining potential changes the vacuum structure, and inevitably leads to a violation of SU(2) flavour symmetry in a hadron with a different number of valence $u$ and $d$ quarks. The same mechanism also leads to a prediction for $\Delta\bar{u}$ and $\Delta\bar{d}$.

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