Extracting two-body nuclear cluster structure by combining the phase function method and the resonating group method

A new method for rapidly extracting structural information about two-body clusters from resonance scattering cross sections has been constructed. It assumes that the nonlocal interaction potential between clusters is treated as a small perturbation for the nonantisymmetrized trial wave function, and the wave function derived from the corresponding local potential is employed as the approximate trial wave function within the resonating group method (RGM). The antisymmetrization method of RGM is then applied to compensate for the Pauli blocking absent in the phase function method (PFM). The approach of treating dynamical behavior and antisymmetrization effects separately dates back to 1976. This method significantly reduces the computational effort required to obtain structural information about two-body clusters. In cross-model comparative analyses, this method was used for calculations on $^{8}\mathrm{Be}, ^{20}\mathrm{Ne}$, and $^{7}\mathrm{Li}$. The resulting phase shifts, cross sections, energy levels, and wave function overlaps demonstrated the effectiveness of the method for two SU(3) scalar clusters.