Comparative variational studies of 0(+) states in three-alpha models

摘要

Three variational approaches, the hyperspherical-harmonics, Gaussian-basis and Lagrange-mesh methods involving different coordinate systems, are compared in studies of 0(+) bound-state energies in Re 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-12 energies in 3alpha models with Coulomb interaction are discussed. (C) 2003 Elsevier Science B.V. All rights reserved. [References: 35]