The asymptotic rise of the trajectories in DAMA

We argue that at low-energies, typical of the resonance region , the contribution from direct-channel exotic trajectories replaces the Pomeron exchange, typical of high energies. A dual model realizing this idea is suggested. While at high energies it matches the Regge pole behavior , dominated by a Pomeron exchange, at low energies it produces a smooth, structureless behavior of the total cross section determined by a direct-channel nonlinear exotic trajectory, dual to the Pomeron exchange. In this paper we investigate the role of the low-energy background in diffractive processes. We follow the ideas of two-component duality [1], [2], by which the high-energy Pomeron exchange is dual to the low-energy background. In describing this background we use a dual amplitude with Mandelstam analyticity (DAMA) [3], where, contrary to narrow resonance dual models, nonlinear trajectories are not only allowed, but even required by their general properties. The asymptotic rise of the trajectories in DAMA