Progress on the Research of Nuclear Single Particle Resonant States

Resonance is an interesting phenomenon in nature. In nuclear physics, resonance plays an important role in the formation of many exotic phenomena. This paper introduces the recently developed RMF-CSM, RMFCGF, and RMF-CMR methods and their researches on nuclear single-particle resonances. The energies and widths of the single-particle resonant states in ¹²⁰Sn and ³¹Ne and their evolution to mass number and deformation are given. In addition, the physical mechanism of the halo formation in ¹⁹C, ³¹Ne and ³⁹Mg and the cause of energy level inversion near N=20 are analyzed. In particular, the newly developed RMF-CMR approach has been successful in describing stable and exotic nuclei and supports the prediction that Zr isotopes exist in a giant halo.