Chapter V. Microscopic Study of the Interaction between Complex Nuclei

Equivalent local potential for the fish bone optical potential by inversion of its phase shifts

“…Matsuse et al [26] represented the effect of the partly Pauli forbidden states in e-160 scattering by means of a trivially equivalent local potential in a resonating group calculation and found that this potential is repulsive in the contact region (4-6 fm) of the nuclei and produces sharper resonances. Similar conclusions were drawn by Tohsaki-Suzuki et al [27] in 160-160 scattering. It was shown by Schmid et al [23] for c~-c~ and c~ -160 scattering, in the context of the fish bone optical model, that particularly the partly Pauli forbidden states manifest themselves as a barrier (the "Pauli barrier") in the surface region of the corresponding trivially equivalent local potential.…”

The concept of a Pauli barrier in nucleus-nucleus scattering

“…On the other hand, the fish bone optical model differs only by the use of norm kernel information from the purely phenomenological optical model. Although we did not investigate 160-160 scattering here, it is clear from the spectrum of norm kernel eigenvalues [tl] and from the resonating group calculations by Matsuse et al [6] and Ando et al [19] and by Tohsaki-Suzuki et al [7,20] that we have to expect a very sizeable Pauli barrier, in this case. As these authors point out, the strong repulsion produced by the Pauli principle should result in a rather shallow effective local potential, which is in agreement with previous phenomenological optical model analyses of 160-160 scattering [21,22].…”

“…The authors also calculated the effect of the partly Pauli-forbidden states on the width of rotational resonances and found that the resonances become sharper. Tohsaki-Suzuki et al [7] analyse in a similar way the influence of partly Pauli-forbidden states on 160 -160 scattering and find that the trivial equivalent local potential is much stronger than in the e-160 case and that it is strongly energy-dependent.…”

Study of Local Inter-Nucleus Potential on the Basis of the Resonating Group Method. II: Calculational Procedure and Study of the Systems of 0s-Shell-Nucleus + 16O

“…for core = 4He , S( C)= 2( vR 1 • R2)2 for core= 16 where the radial form factor u(x) of the effective two-nucleon force is supposed to be Here, as in the previous paper I, x stands for the number of nucleons exchanged (NNE) between Z and core and q specifies the types of kernels, q=a, b, c, dI and dII • The kernels of the types dI and dII change into the other when RI and Rz are exchanged and are called commonly d-type in 1. For certain pairs of (x, q), P Xq , QXq or Rxq is not existent in Eq.…”