### Abstract

The conventional theory of shell-model effective interactions encounters a divergence in its perturbation expansion owing to intruder states. By enlarging the model space to eliminate the core, and, hence, all core-polarization processes, we circumvent this problem. The perturbation expansion for the effective interaction can then be reasonably expressed in terms of only the Brueckner reaction matrix G in the no-core space plus all folded diagrams. The effective interaction for A = 2 is simply the Brueckner G-matrix. For A > 2 exact results for the eigenenergies are obtained, if the generalized, A-nucleon G matrix can be constructed. For A = 4 to 7, we approximate the A-nucleon G-matrix with the Brueckner G-matrix. Reasonable results can be obtained by treating the starting energy for the G matrix as a variable parameter to fix the binding energy.

Original language | English (US) |
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Pages (from-to) | 23-30 |

Number of pages | 8 |

Journal | Nuclear Physics, Section A |

Volume | 570 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Mar 28 1994 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section A*,

*570*(1-2), 23-30. https://doi.org/10.1016/0375-9474(94)90266-6