arXiv:nucl-th/0201052·v2·Nuclear Theory
Redundant Components in the 3 alpha Faddeev Equation Using 2 alpha RGM Kernel
Y. Fujiwara (1) · Y. Suzuki (2) · K. Miyagawa (3) · M. Kohno (4) · H. Nemura (5) ((1) Kyoto · (2) Niigata · (3) Okayama · (4) Kokura · (5) KEK)
Abstract
The 3 alpha Faddeev equation using 2 alpha RGM kernel involves redundant components whose contribution to the total wave function completely cancels out. We propose a practical method to solve this Faddeev equation, by eliminating the admixture of such redundant components. A complete equivalence between the present Faddeev approach and a variational approach using the translationally invariant harmonic-oscillator basis is numerically shown with respect to the 3 alpha bound state corresponding to the ground state of 12C.
Comments: 8 pages, no figure