Comparative variational studies of $0^+$ states in three-$\alpha$ models
Nuclear Theory
2009-11-11 v1
Abstract
Three variational approaches, the hyperspherical-harmonics, Gaussian-basis and Lagrange-mesh methods involving different coordinate systems, are compared in studies of bound-state energies in 3 models. Calculations are performed with different versions of the shallow Ali-Bodmer potential (with and without Coulomb) and with the deep Buck-Friedrich-Wheatley potential. All three methods yield very accurate energies. Their advantages and drawbacks are evaluated. The implications of the disagreement between the obtained results and the experimental C energies in models with Coulomb interaction are discussed.
Keywords
Cite
@article{arxiv.nucl-th/0501058,
title = {Comparative variational studies of $0^+$ states in three-$\alpha$ models},
author = {E. M. Tursunov and D. Baye and P. Descouvemont},
journal= {arXiv preprint arXiv:nucl-th/0501058},
year = {2009}
}