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

P. Navrátil, Bruce R Barrett

Research output: Contribution to journalArticle

72 Citations (Scopus)

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 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.

Original languageEnglish (US)
Pages (from-to)1906-1918
Number of pages13
JournalPhysical Review C - Nuclear Physics
Volume59
Issue number4
StatePublished - Apr 1999

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harmonic oscillators
excitation
Faddeev equations
nucleon potential
permutations
strangeness
nucleons
form factors
binding energy
interactions
electromagnetism
operators
radii
ground state
matrices
energy

ASJC Scopus subject areas

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

Cite this

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

In: Physical Review C - Nuclear Physics, Vol. 59, No. 4, 04.1999, p. 1906-1918.

Research output: Contribution to journalArticle

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