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Toy Parton Distribution Functions

What you are seeing: sketches of the longitudinal momentum fractions xfi(x)x f_i(x) carried by each parton species. Valence quarks peak near x0.2x \sim 0.2, sea quarks dominate at small xx, and the gluon carries the bulk of the proton momentum (about half at Q210Q^2 \sim 10 GeV²).

Figure 1. Schematic xf(x)x f(x) for valence, sea, and gluon partons.
x cursor0.200
x axis

WHAT TO TRY

  • Move the x cursor: valence quarks pile up near x ~ 0.2 while the sea and gluon blow up at small x. The proton momentum is shared, and most of it is not in the quarks you can name.
  • Switch the x axis to logarithmic: the small-x rise of the sea and gluon, hidden on a linear scale, dominates the picture. This is why colliders probing small x see a glue-rich proton.
  • Watch the sum-rule readout: the momentum fractions integrate to 1, with the gluon carrying roughly half. The valence quarks account for only a fraction of the proton momentum.