Potenciais gravitacionais modificados no modelo de branas: o decaimento alfa num cenário de dimensões extras

Abstract

In the present work, we introduced the theories of extra-large-scale dimensions, which predict modifications to the gravitational interaction. Then, we reviewed the Gamow alpha decay theory and applied it to a scenario with extra dimensions, where we investigated the influence of a gravitational potential modified by a power law on the decay rate of radioactive nuclei. From this model, using data from the alpha decay of Uranium, we were able to establish independent experimental constraints for the parameters of the extra-dimensional model, using the least squares fit technique. In our analysis, we consider cases up to ten extra dimensions and impose constraints on the Planck length in extra dimensions, lD, for each of these scenarios.