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Pions Deform the Proton's Electric Charge Cloud

Theoretical models based on quantum chromodynamics (QCD), the theory of the strong force, have long suggested that the proton's electric charge distribution may not be spherically symmetric, but deformed slightly due to the strong forces of the gluons that hold together the quarks in the nucleon. While electron scattering experiments can reveal the size of the cloud over which electric charge is spread out, determining the shape of the proton's positive charge cloud requires using electromagnetic radation to boost the proton into a higher energy state, called the Delta.

When the Delta decays into a lower-energy state, it emits a distinctive pattern of neutral pi-mesons. Pi-mesons, also called pions, are a specific kind of quark-antiquark pair. When dropping down to a lower energy state, the Delta emits a sweep of pions over a distinctive range of angles.

During the past decade, experiments using photon beams have measured these pi-meson angular distributions to high accuracy. The experiments have found a deformation in the delta's charge cloud that is greater than expected from the actions of the proton's quarks alone.

According to quantum mechanics, the proton simultaneously exists in a combination or "superposition" of energy states. Each energy state can yield a different shaped cloud of electric charge. In some energy states, the charge cloud is spherical. In others, it is non-spherical. The multiple states add together or "interfere" to give the proton its observed properties.

The quantum mechanical interference between a spherical and non-spherical electric charge distribution changes the angular pattern of the neutral pi-meson (a quark-antiquark pair) emitted when the Delta decays.

A series of new experiments at Jefferson Lab using electron beams has now probed the proton to Delta excitation with higher resolution than previously possible. The results suggest that the pion cloud surrounding the proton may play a much larger role in producing the observed charge deformation compared to the quarks.

The pion cloud consists of "virtual" pi mesons constantly absorbed and re-emitted by the proton. They bring out a very interesting feature of nuclear physics. A proton contains three quarks (two up and one down quarks- shown respectively as red and blue balls in the figure). But part of the time a proton can exist as a neutron with a positively charged pion cloud- represented by the Greek letter pi. (Likewise, a neutron can sometimes exist as a proton and negative pion.)

Right now the results are consistent with models in which the photon (blue) emitted by the scattered electron (red) interacts directly with the pion cloud rather than with the quarks inside the proton. Furthermore, the measured shape of the deformed electric-charge cloud is slightly oblate (squashed), rather than prolate (elongated) . The measurements agree with recent predictions from QCD theory (hep-lat/0209074). Interpreting the data will require a substantial improvement in understanding the interrelationship of quark, gluon, and pion properties within the proton.

Thanks to L. Cole Smith of the University of Virginia for providing much of the text and Andrew Sandorfi for the graphic.

Reported by: K. Joo et al., Physical Review Letters, 25 March 2002