Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian
arXiv:nucl-th/0601082 · doi:10.1103/PhysRevLett.96.072503
Abstract
The complete exact solution of the T=1 neutron-proton pairing Hamiltonian is presented in the context of the SO(5) Richardson-Gaudin model with non-degenerate single-particle levels and including isospin-symmetry breaking terms. The power of the method is illustrated with a numerical calculation for Ge for a model space which is out of reach of modern shell-model codes.
To be published by Physical Review Letters
Cited by in corpus (31)
- Symmetry-guided large-scale shell-model theory
- Dual pairing of symmetry groups and dynamical groups in physics
- The Heine-Stieltjes correspondence and the polynomial approach to the standard pairing problem
- Alpha-like quartet condensation and isovector pairing correlations in N=Z nuclei
- Exact mesoscopic correlation functions of the pairing model
- Exactly solvable pairing Hamiltonian for heavy nuclei
- Isovector neutron-proton pairing with particle number projected BCS
- Exact solution of the spin-isospin proton-neutron pairing Hamiltonian
- Isovector pairing in a formalism of quartets for N=Z nuclei
- New exact solutions of the standard pairing model for well-deformed nuclei
- Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
- Exactly-solvable models of proton and neutron interacting bosons
- SU(3) Richardson-Gaudin models: three level systems
- Exact isovector pairing in a shell-model framework: Role of proton-neutron correlations in isobaric analog states
- Competition of different coupling schemes in atomic nuclei
- Trigonometric SU(N) Richardson-Gaudin models and dissipative multi-level atomic systems
- On the solution of a pairing problem in the continuum
- Exact T=0 Eigenstates of the Isovector Pairing Hamiltonian
- Role of pair-vibrational correlations in forming the odd-even mass difference
- Pairing in 4-component fermion systems: the bulk limit of SU(4)-symmetric Hamiltonians
- Integrable Model of Topological SO(5) Superfluidity
- Collective treatment of the isovector pair correlations. Boson representation
- Pairing and alpha-like quartet condensation in N=Z nuclei
- Proof by characters of the orthogonal-orthogonal duality and relations of Casimir invariants
- Quartet condensation induced by the isovector pairing force
- "Bethe-Ansatz-free" eigenstates of spin-1/2 Richardson-Gaudin integrable models
- Closed expression for the pair vibrational correlation energy of a uniform distribution of single-nucleon levels
- Exact solutions for pairing interactions
- Challenges for Modeling Nuclear Structure: Are the Proton and Neutron Masses and A-body Interactions Relevant?
- The Oblique Basis Method from an Engineering Point of View
- Richardson-Gaudin Algebras and the Exact Solutions of the Proton-Neutron Pairing