Critical-Point Symmetry in a Finite System

Details Critical-Point Symmetry in a Finite System Critical-Point Symmetry in a Finite System

2003-05-05

arxiv.org/abs/nucl-th/0305009v1

Phys.Rev.Lett. 90 (2003) 212501

Physics

Nuclear Physics

Nuclear Theory

12 pages, 2 figures, 2 tables, Phys. Rev. Lett. in press

Scientific paper

10.1103/PhysRevLett.90.212501

At a critical point of a second order phase transition the intrinsic energy surface is flat and there is no stable minimum value of the deformation. However, for a finite system, we show that there is an effective deformation which can describe the dynamics at the critical point. This effective deformation is determined by minimizing the energy surface after projection onto the appropriate symmetries. We derive analytic expressions for energies and quadrupole rates which provide good estimates for these observables at the critical point.

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