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We compute the tree level cross section for gluon-gluon elastic scatteringtaking into account a dynamical gluon mass, and show that this mass scale is anatural regulator for this subprocess cross section. Using an eikonal approachin order to examine the relationship between this gluon-gluon scattering andthe elastic $pp$ and $\bar{p}p$ channels, we found that the dynamical gluonmass is of the same order of magnitude as the {\it ad hoc} infrared mass scale$m_{0}$ underlying eikonalized QCD-inspired models. We argue that thiscorrespondence is not an accidental result, and that this dynamical scaleindeed represents the onset of non-perturbative contributions to the elastichadron-hadron scattering. We apply the eikonal model with a dynamical infraredmass scale to obtain predictions for $\sigma_{tot}^{pp,\bar{p}p}$,$\rho^{pp,\bar{p}p}$, slope $B^{pp,\bar{p}p}$, and differential elasticscattering cross section $d\sigma^{\bar{p}p}/dt$ at Tevatron and CERN-LHCenergies.Comment: 20 pages, 5 figures; misprints corrected and comments added. To  appear in Phys. Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Influence of a dynamical gluon mass in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mi>p</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>p</mml:mi></mml:math>forward scattering

Influence of a dynamical gluon mass in theppandp¯pforward scattering