Relativistic description of nuclear shell structure (Graduation thesis at Sophia University) Tetsuya Ishikura May 27th, 2005 Shibata lab. What is Nucleus? ・Nucleus is composed of nucleons (protons and neutrons). ・Nucleus has shell structure. Nucleus becomes closed shell when the number of nucleons is 2,8,20,28,50,82,126 (magic number). In Non Relativity, nuclear shell structure had been explained. However, the speed of nucleon in nucleus is about 1/3 of light speed. Can the shell structure be explained in Relativity ? This is the theme of my graduation thesis. In Non Relativity In Relativity Nucleus Nucleus ・Nucleons ・Nucleons ・-50MeV central force potential ・σ-mesons, ω-mesons ・Strong spin-orbit force σ 0 -50 N N N + ω N σ ω N ω N parity σ mass J ＋ 554MeV 0 － 783MeV 1 We consider the interaction of σ- nucleon and ω-nucleon. We have to add the term artificially as perturbation. N N This model can reproduce nuclear shell structure. σ N N N N ω Can the shell structure be explained in this model? N N
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