Closed-form zero-energy two- and three-magnon eigenstates of the alternating Heisenberg chain are derived from a generalized Bethe ansatz, explaining exact degeneracy counts for even and odd lengths.
For example, the constraint equation cor- responding to three magnons on consecutive sites is once again satisfied for arbitrary α, β, γ, δ, C1, C2
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Exact generalized Bethe eigenstates of the non-integrable alternating Heisenberg chain
Closed-form zero-energy two- and three-magnon eigenstates of the alternating Heisenberg chain are derived from a generalized Bethe ansatz, explaining exact degeneracy counts for even and odd lengths.