Three-Cluster Equation Using Two-Cluster RGM Kernel

Details Three-Cluster Equation Using Two-Cluster RGM Kernel Three-Cluster Equation Using Two-Cluster RGM Kernel

2001-12-22

arxiv.org/abs/nucl-th/0112070v4

Prog.Theor.Phys. 107 (2002) 745-757

Physics

Nuclear Physics

Nuclear Theory

12 pages, no figure

Scientific paper

10.1143/PTP.107.745

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.

Affiliated with

Also associated with

No associations

Rating

Three-Cluster Equation Using Two-Cluster RGM Kernel does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Three-Cluster Equation Using Two-Cluster RGM Kernel, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Three-Cluster Equation Using Two-Cluster RGM Kernel will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-50227