The role of dynamic symmetries and supersymmetries in nuclear physics: F. Iachello. Center for Theoretical Physics, Sloane Laboratory, and A. W. Wright Nuclear Structure Laboratory, Yale University, New Haven, Connecticut 06511

Abstract

The role of dynamic symmetries in physics is discussed, with particular emphasis to nuclear structure physics. The dynamic symmetries of the interacting boson model, with dynamic algebra U(6), are introduced and experimental examples are presented. Dynamic symmetries provide a classification scheme for even-even nuclei. Symmetries are further enlarged to supersymmetries, involving both fermionic and bosonic degrees of freedom. The dynamic supersymmetries of the interacting boson-fermion model, with dynamic superalgebra U(6/{Omega}), where {Omega} is the dimension of the fermionic space, are introduced and experimental examples presented. Supersymmetries provide a classification scheme for odd-even, even-odd and odd-odd nuclei.