Redundant Components in the 3 Faddeev Equation Using the 2 RGM Kernel | Zendy

Y. Fujiwara | Zendy; Y. Suzuki | Zendy; K. Miyagawa | Zendy; M. Kohno | Zendy; Hidekatsu Nemura | Zendy

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

Author(s) -

Y. Fujiwara,

Y. Suzuki,

K. Miyagawa,

M. Kohno,

Hidekatsu Nemura

Publication year - 2002

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.107.993

Subject(s) - physics , harmonic oscillator , kernel (algebra) , bound state , invariant (physics) , faddeev equations , mathematical physics , equivalence (formal languages) , mathematics , quantum mechanics , pure mathematics

The 3 alpha Faddeev equation using 2 alpha RGM kernel involves redundantcomponents whose contribution to the total wave function completely cancelsout. We propose a practical method to solve this Faddeev equation, byeliminating the admixture of such redundant components. A complete equivalencebetween the present Faddeev approach and a variational approach using thetranslationally invariant harmonic-oscillator basis is numerically shown withrespect to the 3 alpha bound state corresponding to the ground state of 12C.Comment: 8 pages, no figur

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