# Exact Solution of the Isovector Neutron-Proton Pairing Hamiltonian

## 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 nondegenerate single-particle levels and including isospin symmetry-breaking terms. The power of the method is illustrated with a numerical calculation for {sup 64}Ge for a pf+g{sub 9/2} model space which is out of reach of modern shell-model codes.

- Authors:

- Instituto de Estructura de la Materia, CSIC. Serrano 123, 28006 Madrid (Spain)
- Lawrence Livermore National Laboratory, Livermore, California (United States)
- (Bulgaria)
- Grand Accelerateur National d'Ions Lourds, BP 55027, F-14076 Caen Cedex 5 (France)
- Institute of Nuclear Research and Nuclear Energy, BAS, Sofia 1784 (Bulgaria)

- Publication Date:

- OSTI Identifier:
- 20778650

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 96; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevLett.96.072503; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; EXACT SOLUTIONS; GERMANIUM 64; HAMILTONIANS; ISOSPIN; ISOVECTORS; NEUTRONS; NUMERICAL ANALYSIS; PAIRING INTERACTIONS; PROTONS; SHELL MODELS; SO-5 GROUPS; SYMMETRY BREAKING

### Citation Formats

```
Dukelsky, J., Errea, B., Lerma, S.H., Gueorguiev, V.G., Institute of Nuclear Research and Nuclear Energy, BAS, Sofia 1784, Van Isacker, P., and Dimitrova, S.
```*Exact Solution of the Isovector Neutron-Proton Pairing Hamiltonian*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVLETT.96.0.

```
Dukelsky, J., Errea, B., Lerma, S.H., Gueorguiev, V.G., Institute of Nuclear Research and Nuclear Energy, BAS, Sofia 1784, Van Isacker, P., & Dimitrova, S.
```*Exact Solution of the Isovector Neutron-Proton Pairing Hamiltonian*. United States. doi:10.1103/PHYSREVLETT.96.0.

```
Dukelsky, J., Errea, B., Lerma, S.H., Gueorguiev, V.G., Institute of Nuclear Research and Nuclear Energy, BAS, Sofia 1784, Van Isacker, P., and Dimitrova, S. Fri .
"Exact Solution of the Isovector Neutron-Proton Pairing Hamiltonian". United States.
doi:10.1103/PHYSREVLETT.96.0.
```

```
@article{osti_20778650,
```

title = {Exact Solution of the Isovector Neutron-Proton Pairing Hamiltonian},

author = {Dukelsky, J. and Errea, B. and Lerma, S.H. and Gueorguiev, V.G. and Institute of Nuclear Research and Nuclear Energy, BAS, Sofia 1784 and Van Isacker, P. and Dimitrova, S.},

abstractNote = {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 nondegenerate single-particle levels and including isospin symmetry-breaking terms. The power of the method is illustrated with a numerical calculation for {sup 64}Ge for a pf+g{sub 9/2} model space which is out of reach of modern shell-model codes.},

doi = {10.1103/PHYSREVLETT.96.0},

journal = {Physical Review Letters},

number = 7,

volume = 96,

place = {United States},

year = {Fri Feb 24 00:00:00 EST 2006},

month = {Fri Feb 24 00:00:00 EST 2006}

}

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