2007/02/17 by A. B. Balantekin, J. H. de Jesus, Y. Pehlivan · 1 citation
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Algebraic number #Ansatz #Bethe ansatz #Coupling constant #Degenerate energy levels #Eigenvalues and eigenvectors #Integrable system #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Nuclear physics research studies #Pairing #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Shell (structure) #Symmetry (geometry) #nucl-th
paper · pdf · doi:10.1103/physrevc.75.064304
published as Phys.Rev.C75:064304,2007 · 15 pages of REVTEX with 2 eps figures
arxiv created 2007/02/17 · openalex publication_date 2007/06/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We apply the algebraic Bethe ansatz technique to the nuclear pairing problem with orbit dependent coupling constants and degenerate single particle energy levels. We find the exact energies and eigenstates. We show that for a given shell, there are degeneracies between the states corresponding to less than and more than half full shell. We also provide a technique to solve the equations of Bethe ansatz.