  By extending the dipole Pomeron (DP) model, successful in describing elastic
nucleon-nucleon scattering, to proton single diffractive dissociation (SD), we
predict a dip-bump structure in the squared four-momentum transfer ($t$)
distribution of proton's SD. Structures in the $t$ distribution of single
diffractive dissociation are predicted around $t=-4$ GeV$^2$ at LHC energies in
the range of 3 GeV$^2$ $\lesssim|t|\lesssim$ 7 GeV$^2$. Apart from the
dependence on $s$ (total energy squared) and $t$ (squared momentum transfer),
we predict also a dependence on missing masses. We include the minimum set of
Regge trajectories, namely the Pomeron and the Odderon, indispensable at the
LHC. Further generalization, e.g., by the inclusion of non-leading Regge
trajectories, is straightforward. The present model contains two types of Regge
trajectories: those connected with $t$-channel exchanges (the Pomeron, the
Odderon, and non-leading (secondary) reggeons) appearing at small and moderate
$-t$, where they are real and nearly linear, as well as direct-channel
trajectories $\alpha(M^2)$ related to missing masses. In this paper, we
concentrate on structures in $t$ neglecting (for the time being) resonances in
$M^2$.
