Exact eigenstates of the pairing-force Hamiltonian

The problem of determining the eigenstates of the pairing-force Hamiltonian is reformulated in terms of the eigenstates of a many-boson system with an N-body interaction. The N-body interaction includes the effects of the Pauli principle on the eigenstates of the pairing-force Hamiltonian. Explicit expressions for four types of eigenstates are derived. These four types are the eigenstates of N pairs in one or two multiply degenerate single-particle levels, the one-pair eigenstates and a new restricted class of N-pair eigenstates.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/32140/1/0000194.pd