Abstract
The asymmetry parameter $\ensuremath{\beta}$ for the O $K$ shell photoemission of the CO molecule has been measured for different vibrational states of the residual ion. The corresponding calculations performed by us in the relaxed core Hartree-Fock approximation are in qualitative agreement with the experiment. From the analysis of theoretical data, we made the conclusion that the variation of $\ensuremath{\beta}$ with the vibrational quantum number is connected with different dependences of the dipole matrix elements in the $s\ensuremath{\sigma}$, $d\ensuremath{\sigma}$, and $f\ensuremath{\sigma}$ channels on the internuclear distance $R$ in the $\ensuremath{\sigma}*$ shape resonance.
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