DAPNIA-02-03 |
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Coherent $\pi^0$ electroproduction on the deuteron. |
Michail P. Rekalo, Egle Tomasi-Gustafsson, Jacques Arvieux |
A general analysis of polarization phenomena for coherent pion electroproduction on deuterons is presented. The spin and isospin structures of the $\gamma ^{*}+d\to d+P^0$ amplitudes (where $\gamma ^*$ is a virtual photon) are established and relationships between meson electroproduction on deuterons and on nucleons are given in the framework of the impulse approximation. The reaction $e+d\to e+d+\pi^0$ is investigated in detail, for a relatively large value of momentum transfer, 0.5 GeV$^2\le -k^2\le$ 2 GeV$^2$, both at threshold and in the region of $\Delta $-isobar excitation. Special attention is devoted to the sensitivity of different contributions to the exclusive cross section for $d(e,e\pi^0)d$, as the $\gamma^*\pi\omega$ form factor or the $NN-$potential. The predicted $k^2$-dependence of the cross section agrees well with the available experimental data. |