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Title: 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:
; ;  [1];  [2];  [3];  [4];  [5]
  1. Instituto de Estructura de la Materia, CSIC. Serrano 123, 28006 Madrid (Spain)
  2. Lawrence Livermore National Laboratory, Livermore, California (United States)
  3. (Bulgaria)
  4. Grand Accelerateur National d'Ions Lourds, BP 55027, F-14076 Caen Cedex 5 (France)
  5. 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}
}