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Redundant Components in the 3 alpha Faddeev Equation Using 2 alpha RGM Kernel

Y. Fujiwara·Y. Suzuki·K. Miyagawa·M. Kohno·H. Nemura
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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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Y. Fujiwara, Y. Suzuki, K. Miyagawa, M. Kohno, H. Nemura. 2002-01-22. Redundant Components in the 3 alpha Faddeev Equation Using 2 alpha RGM Kernel. https://doi.org/10.1143/ptp.107.993

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