Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2005-01-25
Nucl.Phys. A723 (2003) 365-374
Physics
Nuclear Physics
Nuclear Theory
Scientific paper
10.1016/S0375-9474(03)01323-X
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 3$\alpha$ 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 $^{12}$C energies in $3\alpha$ models with Coulomb interaction are discussed.
Baye Daniel
Descouvemont Pierre
Tursunov E. M.
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