Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei

Details Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei

2008-07-28

arxiv.org/abs/0807.4388v1

Phys.Rev.Lett.100:142501,2008

Physics

Nuclear Physics

Nuclear Theory

4 pages, 4 postscript figures, uses revTeX

Scientific paper

10.1103/PhysRevLett.100.142501

A simple, empirical signature of a first order phase transition in atomic nuclei is presented, the ratio of the energy of the 6+ level of the ground state band to the energy of the first excited 0+ state. This ratio provides an effective order parameter which is not only easy to measure, but also distinguishes between first and second order phase transitions and takes on a special value in the critical region. Data in the Nd-Dy region show these characteristics. In addition, a repeating degeneracy between alternate yrast states and successive excited 0+ states is found to correspond closely to the line of a first order phase transition in the framework of the Interacting Boson Approximation (IBA) model in the large N limit, pointing to a possible underlying symmetry in the critical region.

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