Multiple Internal Re ections Method in Analysis of Nuclear Reactions

In this paper we give a short review of the Method of Multiple of Internal Reflections (MIR method), which is accepted as the more accurate and rich in quantum description of nuclear reactions today. For a capture of the α particles by nuclei our approach gives (1) new parameters of the α-nucleus potential and (2) new fusion probabilities. We demonstrate that a fully quantum description of this process provided by the MIR method, and inclusion of probabilities of fusion into formalism allow to essentially increase agreement between theory and experimental data. In particular, our method found new parametrization and fusion probabilities and decreased the error by 41.72 times for α+⁴⁰Ca and 34.06 times for α+⁴⁴Ca in a description of experimental data in comparison with existing results. Based on our proposed fusion probability formula, we explain the difference between experimental cross-sections for α+⁴⁰Ca and α+⁴⁴Ca, which is connected with the theory of coexistence of the spherical and deformed shapes in the ground state for nuclei near the neutron magic shell N =20. To obtain deeper insight into the physics of nuclei with the new discovered magic number N = 26, we predict new cross-section of α+⁴⁶Ca for further experimental confirmation.