Redundant Components in the 3 alpha Faddeev Equation Using 2 alpha RGM Kernel
Y. Fujiwara, Y. Suzuki, K. Miyagawa, M. Kohno, H. Nemura
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.
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