Emergent Euclidean Dynamical Symmetry in Nuclear Shape Phase Transition Yu Zhang Department of Physics, Liaoning Normal University, Dalian, China Email:

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Presentation transcript:

Emergent Euclidean Dynamical Symmetry in Nuclear Shape Phase Transition Yu Zhang Department of Physics, Liaoning Normal University, Dalian, China In Collaboration with: Feng Pan, Yu xin Liu, Yang Sun, J. P. Draayer International Workshop “Shapes and Dynamics of Atomic Nuclei: Contemporary Aspects”, Sofia, Bulgaria

Structural evolution and shape phase transition in Sm Cejnar, Jolie, Casten, RMP, 80(2010) 2155

Geometry model for nuclear shape phase transition Bohr and Mottelson, Nuclear structure, World Scientific, 1998 E(5): Iachello, PRL, 85(2000) 3580 X(5): Iachello, PRL, 87(2001) Spherical vibrationGamma-soft rotation Axially-deformed rotationSpherical vibration X(5) E(5)

Algebraic model for nuclear shape phase transition Interacting Boson Model Arima and Iachello, 1976 Casten, Nat. Phy. 2(2006) 811

Algebraic realization of the Euclidean dynamical symmetry Euclidean algebra in 5 dimension (Eu(5)): Zhang, Pan, Liu, Luo, Draayer, PRC, 90(2014)

Geometric realization of the Euclidean dynamical symmetry In the well Eu(5) algebra : Caprio and Iachello, NPA, 781(2007) 26 Bonatsos, McCutchan, Casten, PRL 101 (2008)

Emergent Eu(5) DS at critical point Zhang, Pan, Liu, Luo, Draayer, PRC, 90(2014)

Two schemes for diagonalizing the Eu(5) Hamiltonian Iachello, PRL, 85 (2000) 3580; 87 (2001) Zhang, Liu, Pan, Sun, Draayer, PLB, 732 (2014) 55

Spectral characters of the Eu(5) DS Zhang, Liu, Pan, Sun, Draayer, PLB, 732(2014) 55

Signals of the Eu(5) DS in experiments Zhang, Liu, Pan, Sun, Draayer, PLB, 732 (2014) 55

Thank you for your attention!