### Abstract

We use equations for Faddeev amplitudes to solve the shell-model problem for four nucleons in a model space that includes up to [Formula Presented] harmonic-oscillator excitations above the unperturbed ground state. Two- and three-body effective interactions derived from the Reid93 and Argonne V8’ nucleon-nucleon potentials are used in the calculations. Binding energies, excitation energies, point-nucleon radii, and electromagnetic and strangeness charge form factors for [Formula Presented] are studied. The structure of the Faddeev-like equations is discussed and a formula for the matrix elements of the permutation operators in a harmonic-oscillator basis is given. The dependence on harmonic-oscillator excitations allowed in the model space and on the harmonic-oscillator frequency is investigated. It is demonstrated that the use of three-body effective interactions improves the convergence of the results.

Original language | English (US) |
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Pages (from-to) | 1906-1918 |

Number of pages | 13 |

Journal | Physical Review C - Nuclear Physics |

Volume | 59 |

Issue number | 4 |

DOIs | |

State | Published - Jan 1 1999 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*59*(4), 1906-1918. https://doi.org/10.1103/PhysRevC.59.1906