Exact Eigenstates of the Pairing-Force Hamiltonian. II

Abstract

The restrictions on a previously reported class of exact eigenstates of the pairing‐force Hamiltonians are removed and it is indicated that all the eigenstates of this Hamiltonian can be included in this class. Explicit expressions are given for the expectation values of one‐ and two‐body operators in the exact, seniority‐zero eigenstates of this Hamiltonian. In particular, a simple expression for the occupation probabilities of the levels of the single‐particle potential is given. This expression may be easily evaluated for realistic nuclear systems.