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Bound and antibound states of holes in a coupled-chain model

The binding of two holes in a coupled-chain model described by the t-t'-J Hamiltonian is studied. Using the Bethe Ansatz analysis, it is shown that two holes form antibound states in a triplet spin state. This result can be extended to the case of more than two holes. The eigenvalue problem when the two holes are in a singlet state is solved exactly and one finds that the two holes can bind for all values of J. In this case, antibound states are found for sufficiently large values of J.