Abstract
The ground-state energy of a mixture of spin-\textonehalf{} fermions and bosons in one dimension, interacting with a repulsive $\ensuremath{\delta}$-function potential, is analyzed. The wave function is given by repeated use of a generalized Bethe hypothesis. The momenta in the hypothesis are determined by coupled Fredholm integral equations. Numerical solutions are given. No phase separation is found.
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