Three-Cluster Equation Using Two-Cluster RGM Kernel
نویسندگان
چکیده
We propose a new type of three-cluster equation which uses two-cluster resonating-groupmethod (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 threecluster RGM. As a simple example, we discuss three di-neutron (3d′) and 3α systems in the harmonic-oscillator variational calculation. The result of the Faddeev calculation is also presented for the 3d′ system.
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