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Three-Cluster Equation Using Two-Cluster RGM Kernel

Y. Fujiwara·H. Nemura·Y. Suzuki·K. Miyagawa·M. Kohno
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Abstract

We propose a new type of three-cluster equation which uses two-cluster resonating-group-method (RGM) kernels. In this equation, the orthogonality of the total wave-function to two-cluster Pauli-forbidden states is essential to eliminate redundant components admixed in the three-cluster systems. The explicit energy-dependence inherent in the exchange RGM kernel is self-consistently determined. For bound-state problems, this equation is straightforwardly transformed to the Faddeev equation which uses a modified singularity-free T-matrix constructed from the two-cluster RGM kernel. The approximation of the present three-cluster formalism can be examined with more complete calculation using the three-cluster RGM. As a simple example, we discuss three di-neutron (3d') and 3 alpha systems in the harmonic-oscillator variational calculation. The result of the Faddeev calculation is also presented for the 3' system.

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Y. Fujiwara, H. Nemura, Y. Suzuki, K. Miyagawa, M. Kohno. 2002-01-22. Three-Cluster Equation Using Two-Cluster RGM Kernel. https://doi.org/10.1143/ptp.107.745

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