### 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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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 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*67*(4), 413011-413015.

**Precise estimation of shell model energy by second-order extrapolation method.** / Mizusaki, Takahiro; Imada, Masatoshi.

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 67, no. 4, pp. 413011-413015.

}

TY - JOUR

T1 - Precise estimation of shell model energy by second-order extrapolation method

AU - Mizusaki, Takahiro

AU - Imada, Masatoshi

PY - 2003/4/1

Y1 - 2003/4/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037794195&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037794195&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0037794195

VL - 67

SP - 413011

EP - 413015

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 4

ER -