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Emergent Euclidean Dynamical Symmetry in Nuclear Shape Phase Transition

This international workshop presentation explores the structural evolution and shape phase transition in atomic nuclei, utilizing a geometry model and an algebraic approach. The Euclidean dynamical symmetry and its spectral characters are investigated, along with its experimental signals.

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Emergent Euclidean Dynamical Symmetry in Nuclear Shape Phase Transition

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  1. Emergent Euclidean Dynamical Symmetry in Nuclear Shape Phase Transition Yu Zhang International Workshop “Shapes and Dynamics of Atomic Nuclei: Contemporary Aspects”, Sofia, Bulgaria Department of Physics, Liaoning Normal University, Dalian, China Email: dlzhangyu_physics@163.com In Collaboration with: Feng Pan, Yu xin Liu, Yang Sun, J. P. Draayer

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

  3. 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) 052502 E(5) Spherical vibration Gamma-soft rotation X(5) Spherical vibration Axially-deformed rotation

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

  5. Algebraic realization of the Euclidean dynamical symmetry Zhang, Pan, Liu, Luo, Draayer, PRC, 90(2014) 064318 Euclidean algebra in 5 dimension (Eu(5)):

  6. Geometric realization of the Euclidean dynamical symmetry Eu(5) algebra: Caprio and Iachello, NPA, 781(2007) 26 Bonatsos, McCutchan, Casten, PRL 101 (2008) 022501 In the well

  7. Emergent Eu(5) DS at critical point Zhang, Pan, Liu, Luo, Draayer, PRC, 90(2014) 064318

  8. Two schemes for diagonalizing the Eu(5) Hamiltonian Iachello, PRL, 85 (2000) 3580; 87 (2001) 052502. Zhang, Liu, Pan, Sun, Draayer, PLB, 732 (2014) 55

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

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

  11. Thank you for your attention!

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