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

P. Navrátil, B. R. Barrett

Research output: Contribution to journalArticlepeer-review

81 Scopus citations


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 languageEnglish (US)
Pages (from-to)1906-1918
Number of pages13
JournalPhysical Review C - Nuclear Physics
Issue number4
StatePublished - 1999

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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