  We consider two interacting quantum dots coupled by standard superconductors.
We derive an effective Hamiltonian, and show that over a wide parameter range a
degenerate ground state can be obtained. An exotique form of Majorana bound
states are supported at these degeneracies, and the system can be adiabatically
tuned to a limit in which it is equivalent to the one-dimensional wire model of
Kitaev. We give the form of a Majorana bound state in this system in the strong
interaction limit in the many-particle picture. We also study the Josephson
current in this system, and demonstrate that a double slit-like pattern emerges
in the presence of an extra magnetic field. This pattern is shown to disappear
with increasing interaction strength, which is able to be explained as the
current being carried by chargeless Majorana modes.
