Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-11-29
Physics
High Energy Physics
High Energy Physics - Phenomenology
6 pages, 4 figures
Scientific paper
In a recent paper, we have evaluated the $gg\rightarrow gg$ scattering amplitude in the presence of classical color field generated by the colliding protons in the leading order approximation within the pQCD. In this work, we show that this amplitude can be resumed to obtain the classical color field modified $gg \rightarrow gg$ elastic scattering amplitude. This modified amplitude is suppressed when the longitudinal momentum fraction, $x$, of the incident gluon is small. Minijet cross section is calculated using the modified amplitude. We show that the $pp$ and $\bar{p} p$ cross section from $\sqrt{s} = 5$ GeV to 30 TeV can be described as a sum of a hard component contributed by the modified minijet model and a soft component due to the exchange of the pomeron and of the I=0 exchange-degenerate $\omega$ and $f$ trajectories. The predicted cross section has a $\ln^2 s$ asymptotic behavior which satisfies the Froissart bound.
Cheung Man-Fung
Chiu Charles B.
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