Bulg. J. Phys. vol.44 no.4 (2017), pp. 407-416

Parameter Free Predictions within the Proxy-SU(3) Model

A. Martinou1, D. Bonatsos1, I.E. Assimakis1, N. Minkov2, S. Sarantopoulou1, R.B. Cakirli3, R.F. Casten4,5, K. Blaum6
1Institute of Nuclear and Particle Physics, National Centre for Scientific Research "Demokritos", GR-15310 Aghia Paraskevi, Attiki, Greece
2Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigrad Road, 1784 Sofia, Bulgaria
3Department of Physics, University of Istanbul, 34134 Istanbul, Turkey
4Wright Laboratory, Yale University, New Haven, Connecticut 06520, USA
5Facility for Rare Isotope Beams, 640 South Shaw Lane, Michigan State University, East Lansing, MI 48824 USA
6Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg, Germany
Abstract. Using a new approximate analytic parameter-free proxy-SU(3) scheme, we make predictions of shape observables for deformed nuclei, namely β and γ deformation variables, and compare them with empirical data and with predictions by relativistic and non-relativistic mean-field theories. Furthermore, analytic expressions are derived for B(E2) ratios within the proxy-SU(3) model, free of any free parameters, and/or scaling factors. The predicted B(E2) ratios are in good agreement with the experimental data for deformed rare earth nuclides.

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