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

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

1998-12-21

arxiv.org/abs/nucl-th/9812062v1

Phys.Rev. C59 (1999) 1906-1918

Physics

Nuclear Physics

Nuclear Theory

22 pages, 13 figures, REVTex

Scientific paper

10.1103/PhysRevC.59.1906

We use equations for Faddeev amplitudes to solve the shell-model problem for four nucleons in the model space that includes up to 14 hbar Omega 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, excitations 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 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 the three-body effective interactions improves the convergence of the results.

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