Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-01-14
Fizika B8:335-344,1999
Physics
High Energy Physics
High Energy Physics - Phenomenology
Talk given at conference ``Particle and Nuclear Physics with CEBAF at Jefferson Lab", Dubrovnik, 3-10 November 1998
Scientific paper
We study the hard exclusive production of two pions in the virtual photon fragmentation region with various invariant masses including the resonance region. The amplitude is expressed in terms of two-pion light cone distribution amplitudes ($2\pi$DA's). We derive dispersion relations for these amplitudes, which enables us to fix them completely in terms of $\pi\pi$ scattering phases and a few low-energy subtraction constants determind by the effective chiral lagrangian. Quantitative estimates of the resonance as well $\pi\pi$ background DA's at low normalization point are made. We also prove certain new soft pion theorem relating two-pion DA's to the one-pion DA's. Crossing relations between $2\pi$DA's and parton distributions in a pion are discussed. We demontrate that by studying the \underline{shape} of the $\pi\pi$ mass spectra (not absolute cross section!) in a diffractive electroproduction one can extract the deviation of the meson ($\pi,\rho,$ etc.) wave functions from their asymptotic form $6 z(1-z)$ and hence to get important information about the structure of mesons. We suggest (alternative to S\"oding's) parametrization of $\pi\pi$ spectra which is suitable for large photon virtuality.
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