Relativistic effects in the study of weakly bound $${}^{17}$$17F and $${}^{11}$$11Be nuclei

Abstract

Relativistic effects are employed to describe the weakly bound nuclei of $${}^{17}$$ F and $${}^{11}$$ Be. In order to calculate the energy levels of the ground state and the excited states of these nuclei, we solved the Dirac equation with pseudospin symmetry in the shell model by using the basic concept of supersymmetric shape invariance method. The results obtained from this approach are compared with a non-relativistic approach and experiment. It was then seen that the relativistic approach matches more with the experimental results.