  We use the T-matrix approach for studying highly polarized homogeneous Fermi
gases in one dimension with repulsive or attractive contact interactions. Using
this approach, we compute ground state energies and values for the contact
parameter that show excellent agreement with exact and other numerical methods
at zero temperature, even in the strongly interacting regime. Furthermore, we
derive an exact expression for the value of the contact parameter in one
dimension at zero temperature. The model is then extended and used for studying
the temperature dependence of ground state energies and the contact parameter.
