Abstract
Contribution of the gluon distribution in the nucleon to the cross section for the pion diffractive dissociation into two jets has been calculated recently. In addition, we present here calculation of contribution of the quark distributions to this process. It is expected usually that the quark contributions are much smaller than the gluon one at high energies. We show that, under the conditions of the E791 experiment, the quark contributions are as significant as the gluon one, so that the total cross section exceeds several times those with only gluon contribution. Nevertheless, the distribution of jets in longitudinal momentum fractions does not change significantly and remains qualitatively the same. We compare our results with the data from the E791 experiment.
Highlights
Contribution of the gluon distribution in the nucleon to the cross section for the pion diffractive dissociation into two jets has been calculated recently
The distribution of the total pion longitudinal momentum into fractions y1 and y2 ≡ 1 − y1, between jets has been measured. This distribution is potentially of great interest because its form depends on the pion wave function profile
We present the numerical estimates of the total cross section with account of both the gluon and quark contributions
Summary
Contribution of the gluon distribution in the nucleon to the cross section for the pion diffractive dissociation into two jets has been calculated recently. This cross section has been calculated in the papers [2] and [3]1, in the approximation when only the contribution of the gluon distribution in the nucleon has been accounted for, while those of the quark distributions were neglected. As will be shown below, the quark contributions are as significant as the gluon one and increase the amplitude by about a factor of two.
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