The use of exactly solvable Richardson-Gaudin models to describe the physics of systems
with strong pair correlations is reviewed. The article begins with a brief discussion of …

In this review, we present a symmetry-guided strategy that utilizes exact as well as partial
symmetries for enabling a deeper understanding of and advancing ab initio studies for …

Nuclear Superfluidity is a monograph devoted exclusively to pair correlations in nuclei. It
begins by exploring pair correlations in a variety of systems including superconductivity in …

We introduce a generalized Gaudin Lie algebra and a complete set of mutually commuting
quantum invariants allowing the derivation of several families of exactly solvable …

In this review we demonstrate how the algebraic Bethe ansatz is used for the calculation of
the energy spectra and form factors (operator matrix elements in the basis of Hamiltonian …

We determine the zero-temperature quantum phase diagram of apx+ ipy pairing model
based on the exactly solvable hyperbolic Richardson-Gaudin model. We present analytical …

A new approach for solving the Bethe ansatz (Gaudin-Richardson) equations of the
standard pairing problem is established based on the Heine-Stieltjes correspondence. For k …

We present the exact Bethe ansatz solution for the two-dimensional BCS pairing
Hamiltonian with px+ ipy symmetry. Using both mean-field theory and the exact solution we …

We have studied the numerical solutions of Richardson equations of the BCS model in the
limit of large number of energy levels at half-filling, and compare them with the analytic …

Nuclear pairing correlations are known to play an important role in various single-particle
and collective aspects of nuclear structure. After the first idea by A. Bohr, B. Mottelson, and …