### Abstract

We use Faddeev’s decomposition to solve the shell-model problem for three nucleons. The dependence on harmonic-oscillator excitations allowed in the model space, up to [Formula Presented] in the present calculations, and on the harmonic-oscillator frequency is studied. Effective interactions derived from Nijmegen II and Reid93 potentials are used in the calculations. The binding energies obtained are close to those calculated by other methods. The structure of the Faddeev equations is discussed and a simple formula for matrix elements of the permutation operators in a harmonic-oscillator basis is given. The Pauli principle is properly treated in the calculations.

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

Pages (from-to) | 562-568 |

Number of pages | 7 |

Journal | Physical Review C - Nuclear Physics |

Volume | 57 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1998 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## Fingerprint Dive into the research topics of 'Shell-model calculations for the three-nucleon system'. Together they form a unique fingerprint.

## Cite this

Navrátil, P., & Barrett, B. R. (1998). Shell-model calculations for the three-nucleon system.

*Physical Review C - Nuclear Physics*,*57*(2), 562-568. https://doi.org/10.1103/PhysRevC.57.562