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Richardson-Gaudin description of pairing in atomic nuclei

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Abstract
The present contribution discusses a connection between the exact Bethe Ansatz eigenstates of the reduced Bardeen-Cooper-Schrieffer (BCS) Hamiltonian and the multi-phonon states of the Tamm-Dancoff Approximation (TDA). The connection is made on the algebraic level, by means of a deformed quasi-spin algebra with a bosonic Heisenberg-Weyl algebra in the contraction limit of the deformation parameter. Each exact Bethe Ansatz eigenstate is mapped on a unique TDA multi-phonon state, shedding light on the physics behind the Bethe Ansatz structure of the exact wave function. The procedure is illustrated with a model describing neutron pairing in Fe-56.

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Chicago
De Baerdemacker, Stijn. 2012. “Richardson-Gaudin Description of Pairing in Atomic Nuclei.” In Journal of Physics Conference Series. Vol. 366. Bristol, UK: IOP.
APA
De Baerdemacker, Stijn. (2012). Richardson-Gaudin description of pairing in atomic nuclei. Journal of Physics Conference Series (Vol. 366). Presented at the 19th International school on Nuclear Physics, Neutron Physics and Applications, Bristol, UK: IOP.
Vancouver
1.
De Baerdemacker S. Richardson-Gaudin description of pairing in atomic nuclei. Journal of Physics Conference Series. Bristol, UK: IOP; 2012.
MLA
De Baerdemacker, Stijn. “Richardson-Gaudin Description of Pairing in Atomic Nuclei.” Journal of Physics Conference Series. Vol. 366. Bristol, UK: IOP, 2012. Print.
@inproceedings{3035136,
  abstract     = {The present contribution discusses a connection between the exact Bethe Ansatz eigenstates of the reduced Bardeen-Cooper-Schrieffer (BCS) Hamiltonian and the multi-phonon states of the Tamm-Dancoff Approximation (TDA). The connection is made on the algebraic level, by means of a deformed quasi-spin algebra with a bosonic Heisenberg-Weyl algebra in the contraction limit of the deformation parameter. Each exact Bethe Ansatz eigenstate is mapped on a unique TDA multi-phonon state, shedding light on the physics behind the Bethe Ansatz structure of the exact wave function. The procedure is illustrated with a model describing neutron pairing in Fe-56.},
  articleno    = {012010},
  author       = {De Baerdemacker, Stijn},
  booktitle    = {Journal of Physics Conference Series},
  issn         = {1742-6588},
  language     = {eng},
  location     = {Varna, Bulgaria},
  pages        = {5},
  publisher    = {IOP},
  title        = {Richardson-Gaudin description of pairing in atomic nuclei},
  url          = {http://dx.doi.org/10.1088/1742-6596/366/1/012010},
  volume       = {366},
  year         = {2012},
}

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