Interacting boson models provide an elegant and powerful method to describe collective excitations of complex systems by introducing a set of effective degrees of freedom. We review the interactingâ€¦ (More)

We present a qualitative analysis of the gross features of baryon spec-troscopy (masses and form factors) in terms of various exactly solvable models. It is shown that a collective model, in whichâ€¦ (More)

The concept of symmetries in physics is briefly reviewed. In the first part of these lecture notes, some of the basic mathematical tools needed for the understanding of symmetries in nature areâ€¦ (More)

A completely algebraic treatment of the six-dimensional hypercoulomb problem is discussed in terms of an oscillator realization of the dynamical algebra of SO(7, 2). Closed expressions are derivedâ€¦ (More)

The main ideas behind nuclear supersymmetry are presented, starting from the basic concepts of symmetry and the methods of group theory in physics. We propose new, more stringent experimental testsâ€¦ (More)

Recent shell model calculations for even-even nuclei in the sd shell and the pf shell showed, despite the random nature of the two-body matrix elements, a remarkable statistical preference for groundâ€¦ (More)

We present a symmetry-adapted version of the vibron model [1]. The model exploits the isomorphism of the U(2) Lie Algebra and the one dimensional Morse oscillator [4]. A U(2) algebra is assigned toâ€¦ (More)

We study the electromagnetic form factors of the nucleon in a collective model of baryons. In an algebraic approach to hadron structure, we derive closed expressions for both elastic and transitionâ€¦ (More)

A new method is introduced to study three-body clusters. Triangular configurations with D 3h point-group symmetry are analyzed. The spectrum, transition form factors and B(EÎ») values of 12 C areâ€¦ (More)