García Ramos, José EnriqueArias Carrasco, José MiguelBarea, JoséFrank, A.2012-02-072012-02-072003-08-15García Ramos, J.E., Arias Carrasco, J.M., Barea, J., Frank, A.: "Phase transitions and critical points in the rare-earth region". Physical Review C. Vol. 68, n. 2 (2003). ISSN 0556-28130556-2813http://hdl.handle.net/10272/5466A systematic study of isotope chains in the rare–earth region is presented. For the chains 144−154 60Nd, 146−160 62Sm, 148−162 64Gd, and 150−166 66Dy, energy levels, E2 transition rates, and two– neutron separation energies are described by using the most general (up to two–body terms) IBM Hamiltonian. For each isotope chain a general fit is performed in such a way that all parameters but one are kept fixed to describe the whole chain. In this region nuclei evolve from spherical to deformed shapes and a method based on catastrophe theory, in combination with a coherent state analysis to generate the IBM energy surfaces, is used to identify critical phase transition points.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/BosonesQuantum phase transitionsCatastrophe theoryInteracting boson modeljournal articleopen access