Eur. Phys. J. C (2005) 44: 545-558
https://doi.org/10.1140/epjc/s2005-02386-6

Theoretical Physics

Double diffractive -production in collisions

¹ CPHT (Unité mixte C7644 du CNRS.), École Polytechnique, 91128, Palaiseau, France
² Soltan Institute for Nuclear Studies, Warsaw, Poland
³ Université de Liége, B4000, Liége, Belgium
⁴ LPT (Unité mixte 8627 du CNRS.), Université Paris-Sud, 91405, Orsay, France

^* e-mail: lech@nuclth02.phys.ulg.ac.be

Abstract

We present a first estimate of the cross-section for the exclusive process , which will be studied in the future high energy e ⁺ e ^--linear collider. As a first step, we calculate the Born order approximation of the amplitude for longitudinally polarized virtual photons and mesons, in the kinematical region . This process is completely calculable in the hard region . We perform most of the steps in an analytical way. The resulting cross-section turns out to be large enough for this process to be measurable with foreseen luminosity and energy, for Q ₁ ² and Q ₂ ² in the range of a few GeV².