2015/11/12 by Chong Qi, Tao Chen
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Applied mathematics #Degeneracy (biology) #Exact solutions in general relativity #Mathematical analysis #Mathematics #Nonlinear system #Nuclear physics research studies #Pairing #Physics #Polynomial #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Simple (philosophy) #Theoretical physics #nucl-th
paper · pdf · doi:10.1103/physrevc.92.051304
published as Phys. Rev. C 92, 051304(R) (2015) · 5 pages, 6 figures
openalex publication_date 2015/11/12 · arxiv created 2016/03/23 · arxiv updated 2016/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
There has been increasing interest in studying the Richardson model from which one can derive the exact solution for certain pairing Hamiltonians. However, it is still a numerical challenge to solve the nonlinear equations involved. In this paper we tackle this problem by employing a simple hybrid polynomial approach. The method is found to be robust and is valid for both deformed and nearly spherical nuclei. It also provides important and convenient initial guesses for spherical systems with large degeneracy. As an example, we apply the method to study the shape coexistence in neutron-rich Ni isotopes.