Pion Generalized Dipole Polarizabilities by Virtual Compton Scattering $πe \to πeγ$

Details Pion Generalized Dipole Polarizabilities by Virtual Compton Scattering $πe \to πeγ$ Pion Generalized Dipole Polarizabilities by Virtual Compton Scattering $πe \to πeγ$

2001-07-03

arxiv.org/abs/hep-ph/0107020v1

Phys.Rev. C65 (2002) 015206

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages, Revtex, 15 figures

Scientific paper

10.1103/PhysRevC.65.015206

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 ${\cal O}(p^4)$. A pion VCS event generator has been written which is ready for implementation in GEANT simulation codes or for independent use.

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