Measuring the P-odd Pion-Nucleon Coupling h_{πNN}^{(1)} in π^+ Photoproton Production Near the Threshold

Abstract

We show that polarized gamma p -> π^+ n in the threshold region is an excellent candidate for measuring the leading parity-violating pion-nucleon coupling h_{πNN}^{(1)} to an uncertainty of 20% if it has a natural size from dimensional analysis. The conclusion is based on a large unpolarized cross section, a new low-energy theorem for the photon polarization asymmetry at the threshold A_γ|_{th} = \sqrt{2} f_π(μ_p-μ_n) h_{πNN}^{(1)}/g_A m_N \sim h_{πNN}^{(1)}/2, and its strong dominance at forward and backward angles in the threshold region.

4 pages, 3 figures. More data points in fig. 1 and note added in proof added

References in corpus (3)

• The anapole form factor of the nucleon
• Parity Violation in gamma proton Compton Scattering
• Parity-Violating Pion-Nucleon Coupling h_{πNN}^{(1)} from π^+ Electroproton Production Near the Threshold

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• The P2 Experiment - A future high-precision measurement of the electroweak mixing angle at low momentum transfer
• Hadronic Parity-Violation on the Lattice
• Parity Violating Photoproduction of ${\pi }^{\pm }$ on the $\Delta$ Resonance
• Electroweak Radiative Corrections to Parity-Violating Electroexcitation of the $\Delta$
• Subleading corrections to parity violating pion photoproduction
• Hadronic Parity Violation at Next-to-Leading Order
• Connecting the Quenched and Unquenched Worlds via the Large N_c World
• Sum Rules for Parity Violating Compton Amplitudes
• Superconvergence Relations and Parity Violating analogue of GDH sum rule
• Strangeness-Conserving Hadronic Parity Violation at Low Energies