English

Ground State Wave Functions in the Hyperspherical Formalism for Nuclei with A > 4

Nuclear Theory 2009-10-31 v3

Abstract

The general formulation of a technically advantageous method to find the ground state solution of the Schrodinger equation in configuration space for systems with a number of particles A greater than 4 is presented. The wave function is expanded in pair correlated hyperspherical harmonics beyond the lowest order approximation and then calculated in the Faddeev approach. A recent efficient recursive method to construct antisymmetric A-particle hyperspherical harmonics is used. The accuracy is tested for the bound state energies of nuclei with A = 6,8,12. The high quality of the obtained results becomes evident from a comparison with other approaches.

Keywords

Cite

@article{arxiv.nucl-th/9808046,
  title  = {Ground State Wave Functions in the Hyperspherical Formalism for Nuclei with A > 4},
  author = {Nir Barnea and Winfried Leidemann and Giuseppina Orlandini},
  journal= {arXiv preprint arXiv:nucl-th/9808046},
  year   = {2009}
}

Comments

17 pages, 1 figure, Submitted to Nucl. Phys. A