### Abstract

Second-order perturbation theory is used to examine the effect of excluding the g boson from the model space of the interacting boson model. Perturbative corrections are calculated in a paired fermion space (in a single j-shell approximation) and are mapped onto the interacting boson model Hamiltonian using the imaging techniques of Otsuka, Arima, and Iachello. The resulting renormalization of the boson parameters of the Hamiltonian to account for effects of the g boson depends strongly upon the numbers of valence protons and neutrons, and remains significant throughout the half shell. NUCLEAR STRUCTURE Interacting boson model, g boson, microscopic calculation using perturbation theory, renormalization of boson parameters.

Original language | English (US) |
---|---|

Pages (from-to) | 668-679 |

Number of pages | 12 |

Journal | Physical Review C - Nuclear Physics |

Volume | 26 |

Issue number | 2 |

DOIs | |

State | Published - 1982 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*26*(2), 668-679. https://doi.org/10.1103/PhysRevC.26.668

**Microscopic calculation of the effects of the g boson on the interacting boson model Hamiltonian.** / Sage, Keith A.; Goode, Philip R.; Barrett, Bruce R.

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 26, no. 2, pp. 668-679. https://doi.org/10.1103/PhysRevC.26.668

}

TY - JOUR

T1 - Microscopic calculation of the effects of the g boson on the interacting boson model Hamiltonian

AU - Sage, Keith A.

AU - Goode, Philip R.

AU - Barrett, Bruce R

PY - 1982

Y1 - 1982

N2 - Second-order perturbation theory is used to examine the effect of excluding the g boson from the model space of the interacting boson model. Perturbative corrections are calculated in a paired fermion space (in a single j-shell approximation) and are mapped onto the interacting boson model Hamiltonian using the imaging techniques of Otsuka, Arima, and Iachello. The resulting renormalization of the boson parameters of the Hamiltonian to account for effects of the g boson depends strongly upon the numbers of valence protons and neutrons, and remains significant throughout the half shell. NUCLEAR STRUCTURE Interacting boson model, g boson, microscopic calculation using perturbation theory, renormalization of boson parameters.

AB - Second-order perturbation theory is used to examine the effect of excluding the g boson from the model space of the interacting boson model. Perturbative corrections are calculated in a paired fermion space (in a single j-shell approximation) and are mapped onto the interacting boson model Hamiltonian using the imaging techniques of Otsuka, Arima, and Iachello. The resulting renormalization of the boson parameters of the Hamiltonian to account for effects of the g boson depends strongly upon the numbers of valence protons and neutrons, and remains significant throughout the half shell. NUCLEAR STRUCTURE Interacting boson model, g boson, microscopic calculation using perturbation theory, renormalization of boson parameters.

UR - http://www.scopus.com/inward/record.url?scp=35949017432&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35949017432&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.26.668

DO - 10.1103/PhysRevC.26.668

M3 - Article

AN - SCOPUS:35949017432

VL - 26

SP - 668

EP - 679

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 2

ER -