Redundant Components in the 3 alpha Faddeev Equation Using 2 alpha RGM Kernel
arXiv:nucl-th/0201052 · doi:10.1143/PTP.107.993
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.
8 pages, no figure