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Area of Science:

  • Nuclear Physics
  • Particle Physics

Background:

  • Understanding the structure of hadrons and the nature of fundamental forces requires precise measurements of polarization observables.
  • Previous experiments have utilized circularly polarized photons, but simultaneous measurement of observables requiring both linearly and circularly polarized photons with a longitudinally polarized target was challenging.

Purpose of the Study:

  • To report the first measurement of the helicity asymmetry E for the pπ^{0} and nπ^{+} final states using an elliptically polarized photon beam and a longitudinally polarized target.
  • To demonstrate the capability of simultaneously measuring polarization observables that require different photon polarizations and a longitudinally polarized target.

Main Methods:

  • Utilized the Crystal Ball experiment at MAMI with an elliptically polarized photon beam.
  • Employed a longitudinally polarized target.
  • Measured the helicity asymmetry E for pπ^{0} and nπ^{+} final states across specified photon energy ranges and pion polar angles.

Main Results:

  • The measured helicity asymmetry E values agree well with previous data obtained using circularly polarized photons.
  • Achieved the most precise measurement of the observable E to date.
  • A moment analysis revealed a clear observation of the pη cusp in the pπ^{0} final state.

Conclusions:

  • The experimental setup enables the simultaneous measurement of polarization observables requiring both linearly and circularly polarized photons with a longitudinally polarized target.
  • The new data provide a significant advancement in the precision of the helicity asymmetry E measurement.
  • The observation of the pη cusp offers new insights into hadron spectroscopy.