In-medium nucleon-nucleon potentials in configuration space

Based on the thermodynamic Green function approach two-nucleon correlations in nuclear matter at finite temperatures are revisited. To this end, we de rive phase-equivalent effective r-space potentials that include the effect of Pauli blocking at a given temperature and density. These potentials ente r into a Schrodinger equation that is the r-space representation of the Gal itskii-Feynman equation for two nucleons. We explore the analytical structu re of the equation in the complex k-plane by means of Jost functions. We fi nd that despite the Mott effect the correlation with deuteron quantum numbe rs are manifested as antibound states, i.e. as zeros of the Jost function o n the negative imaginary axis of the complex momentum space. The analysis p resented here is also suited for Coulombic systems.