Phase shift analysis of α - ¹²C elastic scattering using phase function method

Alpha-Carbon elastic scattering at low energies remains an intriguing subject and is regarded as the key process for determining the energy level of oxygen isotopes. ShungIchi Ando has approached the α-¹²C elastic scattering at low energies by describing the two particles as elementary-like fields and utilized effective field theory. We have implemented a novel numerical solution to solve the phase equation which deals with the potential directly. This procedure has been tested to successfully obtain the interaction potentials and resonances for various l-channels of alpha-alpha scattering and ground state of Triton(³H) and ³He systems. Here, we extend the procedure to obtain scattering phase shifts (SPS) in combination with optimization procedure to construct interaction potentials for P, D, F and G-partial wave states