Nuclear quasi-bound states of antikaons and η mesons

Abstract

In this work we present a study on the mesic nuclear quasi-bound states, particularly on the K¯ and η mesons. These states are formed when low energetic mesons bind to the nucleus for a short period of time due to the strong interaction. In this scenario we test different theoretical meson-nucleus optical potentials by computing the binging energies and widths of the nuclear states. For the antikaons we perform and in-medium calculation for a particular model while for the η meson we test five different models in the free-space, and one of them also in the nuclear medium. Our results show an agreement with similar previous calculations, obtaining larger widths than the binding energies for the K¯ nuclear quasi-bound states and smaller widths than the binding energies for two of the models studied for the η nuclear bound states. Further, we present a whole chapter to describe the numerical methods used to solve the Klein-Gordon equation describing the problem of the nuclear bound states, which constitutes the major part of this work. We explain step by step the main features of or code and the important parameters to take into account to obtain correct results.