Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2000-01-04
Phys.Rev. C62 (2000) 034004
Physics
Nuclear Physics
Nuclear Theory
12 pages, 9 figures, 1 table
Scientific paper
10.1103/PhysRevC.62.034004
The antisymmetrization of the composite particles in cluster model calculations manifests itself in Pauli forbidden states (ghost states), if one restricts oneself on undeformed cluster in the low energy region. The resonating group method and the generating coordinate method rely on a property of the norm kernel, which introduces some of the ghost states. The norm kernel has been usually calculated under the assumption that the inner wavefunctions have a simple Gaussian form. It is the first time that this assumption is tested by the rigorous way. In the 4He+N system, we demonstrate a ghost state, which is calculated from a rigorous solution of Yakubovsky equations for the alpha particle. The ghost states calculated by rigorous and approximate methods turn out to have a very similar form. It is analytically proved that the trace of the norm kernel does not depend on the inner wavefunction we choose.
Kamada Hiroyuki
Nogga Andreas
Oryu Shinsho
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