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We study in cranked Nilsson plus random phase approximation shape transitionsin fast rotating nuclei undergoing backbending, more specifically 156Dy and162Yb. We found that a backbending in 156Dy is correlated with thedisappearance of the collective, positive signature gamma-vibrational mode inthe rotating frame, and, a shape transition (from axial to nonaxial) isaccompanied with a large acquiring of the gamma-deformation. We show that sucha shape transition can be considered as a phase transition of the first order.In 162Yb the quasiparticle alignment dominates in the backbending and the shapetransition (from axial to nonaxial) is accompanied with a smooth transitionfrom zero to nonzero values of the gamma-deformation. We extend the classicalLandau theory for rotating nuclei and show that the backbending in 162Yb isidentified with the second order phase transition. A description of spectraland decay properties of the yrast states and low-lying excitations demonstratesa good agreement between our results and experimental data.Comment: 22 pages, 13 figures, 2 table

physical review. c. nuclear physics/physical review. c, nuclear physics

Microscopic analysis of shape-phase transitions in even-even<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>~</mml:mo><mml:mn>90</mml:mn></mml:mrow></mml:math>rotating nuclei

Microscopic analysis of shape-phase transitions in even-evenN~90rotating nuclei