State-dependent effective interaction for the hyperspherical formalism with noncentral forces

Nir Barnea, Winfried Leidemann*, Giuseppina Orlandini

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

101 Scopus citations


The recently developed effective interaction method for the hyperspherical harmonic formalism is extended to noncentral forces. Binding energies and radii of three- and four-body nuclei are calculated with AV6 and AV14 NN potentials. Excellent results for the convergence of the expansion are found, particularly for the three-nucleon system. Due to the higher density the convergence rate is a bit slower for the alpha particle. In comparison to central potential models there is only a very slight deterioration of the convergence due the tensor force, while other potential terms have no visible effect on the convergence. The obtained values for binding energy and radii also agree well with the results in the literature obtained with other few-body techniques.

Original languageAmerican English
Pages (from-to)565-578
Number of pages14
JournalNuclear Physics A
Issue number3-4
StatePublished - 22 Oct 2001

Bibliographical note

Funding Information:
We thank the Institute for Nuclear Theory at the University of Washington for its hospitality and the Department of Energy for partial support during the completion of this work. This research is also supported by the Italian ministry for scientific and technological research (MURST).


  • 21.30.Fe
  • 21.45.+v
  • 31.15.Ja
  • Effective interaction
  • Few-body
  • Hyperspherical harmonics


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