Three-Cluster Equation Using the Two-Cluster RGM Kernel | Zendy

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

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Three-Cluster Equation Using the Two-Cluster RGM Kernel

Author(s) -

Y. Fujiwara,

Hidekatsu Nemura,

Yushi Suzuki,

K. Miyagawa,

Masanori Kohno

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.107.745

Subject(s) - physics , cluster (spacecraft) , kernel (algebra) , statistical physics , combinatorics , computer science , operating system , mathematics

We propose a new type of three-cluster equation which uses two-clusterresonating-group-method (RGM) kernels. In this equation, the orthogonality ofthe total wave-function to two-cluster Pauli-forbidden states is essential toeliminate redundant components admixed in the three-cluster systems. Theexplicit energy-dependence inherent in the exchange RGM kernel isself-consistently determined. For bound-state problems, this equation isstraightforwardly transformed to the Faddeev equation which uses a modifiedsingularity-free T-matrix constructed from the two-cluster RGM kernel. Theapproximation of the present three-cluster formalism can be examined with morecomplete calculation using the three-cluster RGM. As a simple example, wediscuss three di-neutron (3d') and 3 alpha systems in the harmonic-oscillatorvariational calculation. The result of the Faddeev calculation is alsopresented for the 3' system.Comment: 12 pages, no figur

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