Ratio of asymptotic coefficients of symmetric and mirror bound states at EPN-condition

Full text: It was shown before that the condition of equivalence of nuclear neutron and proton potentials (the condition is the consequence of isospin invariance of nuclear force) in symmetric and mirror nuclei together with the well-depth procedure makes the ratio of asymptotic coefficients of the neutron and proton bindings bn2/bp2 a stable value to the wide variety of the model parameters, i.e. Coulomb radius, radius of the potential well and the diffuseness parameter, although the values bn2 and bp2 are crucially dependent on the Coulomb radius. The value bn2/bp2 is very important, because at the equivalence of the neutron and proton spectroscopic factors for mirror and symmetric nuclei bn2/bp2 = Cn2/Cp2 where Cn/p2 are asymptotic normalization coefficients obtained from experiment. The values of bn2/bp2 for some nuclei of 1p and 1d shells have been calculated. The analysis of the values in the framework of the alpha-cluster model based on the np-pair interactions gives an opportunity to make some qualitative conclusions concerning the nuclear structure and the validity of the single particle approach. Particularly the dependence of bn2/bp2 on the mass number A makes the alpha-cluster structure distinct. One of the conclusions of the analysis is that in some cases there is the rearrangement energy in the residual nucleus at nucleon removal, which means that in the cases the single particle binding energy is not exactly equal to its separation energy