### Abstract

The many-body perturbation theory for open-shell systems is briefly discussed, particularly with regard to the derivation of the diagrammatic expansion for the effective interaction. We then compare the application of this theory to atoms and to nuclei and observe that calculations are more difficult for nuclei. Most of the problems in the nuclear calculations arise from the complicated nature of the nucleon-nucleon (or strong) interaction. In particular the diagrammatic expansion for the nuclear effective interaction tends to diverge due to highly collective nuclear states which lie low in energy, because of the nature and strength of the nucleon-nucleon interaction. Other methods for calculating the effective interaction besides perturbation theory are also discussed. At the present time the exp (S) or coupled-cluster method appears to be the best and the most accurate method for computing nuclear spectra.

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

Pages (from-to) | 266-271 |

Number of pages | 6 |

Journal | Physica Scripta |

Volume | 21 |

Issue number | 3-4 |

DOIs | |

State | Published - Jan 1 1980 |

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### ASJC Scopus subject areas

- Condensed Matter Physics
- Mathematical Physics
- Atomic and Molecular Physics, and Optics

### Cite this

**Problems in many-body effective interaction theory for nuclei and how they differ from those for atoms.** / Barrett, Bruce R.

Research output: Contribution to journal › Article

*Physica Scripta*, vol. 21, no. 3-4, pp. 266-271. https://doi.org/10.1088/0031-8949/21/3-4/008

}

TY - JOUR

T1 - Problems in many-body effective interaction theory for nuclei and how they differ from those for atoms

AU - Barrett, Bruce R

PY - 1980/1/1

Y1 - 1980/1/1

N2 - The many-body perturbation theory for open-shell systems is briefly discussed, particularly with regard to the derivation of the diagrammatic expansion for the effective interaction. We then compare the application of this theory to atoms and to nuclei and observe that calculations are more difficult for nuclei. Most of the problems in the nuclear calculations arise from the complicated nature of the nucleon-nucleon (or strong) interaction. In particular the diagrammatic expansion for the nuclear effective interaction tends to diverge due to highly collective nuclear states which lie low in energy, because of the nature and strength of the nucleon-nucleon interaction. Other methods for calculating the effective interaction besides perturbation theory are also discussed. At the present time the exp (S) or coupled-cluster method appears to be the best and the most accurate method for computing nuclear spectra.

AB - The many-body perturbation theory for open-shell systems is briefly discussed, particularly with regard to the derivation of the diagrammatic expansion for the effective interaction. We then compare the application of this theory to atoms and to nuclei and observe that calculations are more difficult for nuclei. Most of the problems in the nuclear calculations arise from the complicated nature of the nucleon-nucleon (or strong) interaction. In particular the diagrammatic expansion for the nuclear effective interaction tends to diverge due to highly collective nuclear states which lie low in energy, because of the nature and strength of the nucleon-nucleon interaction. Other methods for calculating the effective interaction besides perturbation theory are also discussed. At the present time the exp (S) or coupled-cluster method appears to be the best and the most accurate method for computing nuclear spectra.

UR - http://www.scopus.com/inward/record.url?scp=84876938426&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84876938426&partnerID=8YFLogxK

U2 - 10.1088/0031-8949/21/3-4/008

DO - 10.1088/0031-8949/21/3-4/008

M3 - Article

AN - SCOPUS:84876938426

VL - 21

SP - 266

EP - 271

JO - Physica Scripta

JF - Physica Scripta

SN - 0031-8949

IS - 3-4

ER -