New cosmological tracker solution for quintessence -: art. no. 081302

In this paper we propose a quintessence model with the potential V(Phi) = V-0[sinh(alpha root kappa (0)Delta Phi)](beta) with beta < 0, whose asymptotic behavior corresponds to an inverse power-law potential at early times and to an exponential one at late times. We demonstrate that this is a tracker solution and that it could have driven the Universe into its current inflationary stage. The exact solutions and the description for a complete evolution of the Universe are also given. We compare such a model with current cosmological observations.