Symmetry and Supersymmetry in Nuclear Physics
نویسنده
چکیده
— A survey of algebraic approaches to various problems in nuclear physics is given. Examples are chosen from pairing of many-nucleon systems, nuclear structure, fusion reactions below the Coulomb barrier, and supernova neutrino physics to illustrate the utility of group-theoretical and related algebraic methods in nuclear physics. PACS 03.65.Fd – Algebraic methods. PACS 21.60.Fw – Models based on group theory. PACS 25.70.Jj – Fusion and fusion-fission reactions. PACS 26.30.-k – Nucleosynthesis in novae, supernovae, and other explosive environments. Symmetry concepts play a very important role in all of physics. Originally symmetries utilized in physics did not change the particle statistics: such symmetries either transform bosons into bosons or fermions into fermions. Natural mathematical tools to explore symmetries are Lie algebras, i.e. the set of operators closing under commutation relations, schematically shown as
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