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Generalized Valon Model for Double Parton Distributions

Wojciech Broniowski, Enrique Ruiz Arriola, Krzysztof Golec-Biernat

Abstract

We show how the double parton distributions may be obtained consistently from the many-body light-cone wave functions. We illustrate the method on the example of the pion with two Fock components. The procedure, by construction, satisfies the Gaunt-Stirling sum rules. The resulting single parton distributions of valence quarks and gluons are consistent with a phenomenological parametrization at a low scale.

Generalized Valon Model for Double Parton Distributions

Abstract

We show how the double parton distributions may be obtained consistently from the many-body light-cone wave functions. We illustrate the method on the example of the pion with two Fock components. The procedure, by construction, satisfies the Gaunt-Stirling sum rules. The resulting single parton distributions of valence quarks and gluons are consistent with a phenomenological parametrization at a low scale.

Paper Structure

This paper contains 13 equations, 3 figures.

Figures (3)

  • Figure 1: Left: example of the valence dPDF of the proton which satisfies the GS sum rules. Right: schematic illustration of the non-uniqueness of the sPDF constraints.
  • Figure 2: The valence quark (left) and gluon (right) sPDF's of the pion from the two-component valon model (\ref{['eq:two']},\ref{['eq:psi']}) compared to the the GRV$_\pi$ parametrization Gluck:1991ey.
  • Figure 3: dPDF's of the pion from the the two-component valon model (\ref{['eq:two']},\ref{['eq:psi']}).