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

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

2002-01-20

arxiv.org/abs/nucl-th/0201052v2

Prog.Theor.Phys. 107 (2002) 993-1000

Physics

Nuclear Physics

Nuclear Theory

8 pages, no figure

Scientific paper

10.1143/PTP.107.993

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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