Pion Generalized Dipole Polarizabilities by Virtual Compton Scattering $\pi e\to \pi e\gamma$

Abstract

We present a calculation of the cross section and the event generator of the reaction $\pi e\to \pi e\gamma$. This reaction is sensitive to the pion generalized dipole polarizabilities, namely, the longitudinal electric ${\alpha }_L(q^2)$, the transverse electric ${\alpha }_T(q^2)$, and the magnetic $\beta (q^2)$ which, in the real-photon limit, reduce to the ordinary electric and magnetic polarizabilities $\bar{\alpha }$ and $\bar{\beta }$, respectively. The calculation of the cross section is done in the framework of chiral perturbation theory at $\mathcal{O}(p^4)$. A pion VCS event generator has been written which is ready for implementation in GEANT simulation codes or for independent use.

33 pages, Revtex, 15 figures

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Cited by in corpus (8)

• Hadron Polarizabilities
• Continuity of generalized parton distributions for the pion virtual Compton scattering
• Final-sate radiation in electron-positron annihilation into a pion pair
• A new determination of the $\gamma \pi \to \pi \pi$ anomalous amplitude via ${\pi }^{-}{e}^{-}\to {\pi }^{-}{e}^{-}{\pi }^0$ data
• Compton Scattering off Pions and Electromagnetic Polarizabilities
• Chiral perturbation theory - Success and challenge
• Chiral effective field theories of the strong interactions
• Applicability of Perturbative QCD to Pion Virtual Compton Scattering