### Abstract

A second-order extrapolation method is presented for shell model calculations, where shell model energies of truncated spaces are well described as a function of energy variance by quadratic curves, and exact shell model energies can be obtained by the extrapolation. This new extrapolation can give more precise energy than those of first-order extrapolation method. It is also clarified that first-order extrapolation gives a lower limit of shell model energy. In addition to the energy, we derive the second-order extrapolation formula for expectation values of other observables.

Original language | English |
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Article number | 041301 |

Pages (from-to) | 413011-413015 |

Number of pages | 5 |

Journal | Physical Review C - Nuclear Physics |

Volume | 67 |

Issue number | 4 |

Publication status | Published - 2003 Apr 1 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Mizusaki, T., & Imada, M. (2003). Precise estimation of shell model energy by second-order extrapolation method.

*Physical Review C - Nuclear Physics*,*67*(4), 413011-413015. [041301].