### Abstract

We use equations for Faddeev amplitudes to solve the shell-model problem for four nucleons in a model space that includes up to 14ℏΩ 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 ^{4}He 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 |

State | Published - Apr 1999 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*59*(4), 1906-1918.

**Four-nucleon shell-model calculations in a Faddeev-like approach.** / Navrátil, P.; Barrett, Bruce R.

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 59, no. 4, pp. 1906-1918.

}

TY - JOUR

T1 - Four-nucleon shell-model calculations in a Faddeev-like approach

AU - Navrátil, P.

AU - Barrett, Bruce R

PY - 1999/4

Y1 - 1999/4

N2 - We use equations for Faddeev amplitudes to solve the shell-model problem for four nucleons in a model space that includes up to 14ℏΩ 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 4He 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.

AB - We use equations for Faddeev amplitudes to solve the shell-model problem for four nucleons in a model space that includes up to 14ℏΩ 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 4He 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.

UR - http://www.scopus.com/inward/record.url?scp=0037762491&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037762491&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0037762491

VL - 59

SP - 1906

EP - 1918

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 4

ER -