Shapes of the Proton

Details Shapes of the Proton Shapes of the Proton

2003-04-23

arxiv.org/abs/nucl-th/0304076v2

Phys.Rev. C68 (2003) 022201

Physics

Nuclear Physics

Nuclear Theory

8 pages, 5 figures, to be submitted to Phys. Rev. C This corrects a few typos and explains some further connections with exper

Scientific paper

10.1103/PhysRevC.68.022201

A model proton wave function, constructed using Poincare invariance, and constrained by recent electromagnetic form factor data, is used to study the shape of the proton. Spin-dependent quark densities are defined as matrix elements of density operators in proton states of definite spin-polarization, and shown to have an infinite variety of non-spherical shapes. For high momentum quarks with spin parallel to that of the proton, the shape resembles that of a peanut, but for quarks with anti-parallel spin the shape is that of a bagel.

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