Disentangling phase transitions and critical points in the proton–neutron interacting boson model by catastrophe theory

García Ramos, José EnriqueArias Carrasco, José MiguelDukelsky, J.2015-06-192015-06-192014García Ramos, J.E., Arias Carrasco, J.M., Dukelsky, J.: "Disentangling phase transitions and critical points in the proton–neutron interacting boson model by catastrophe theory". Physics Letters B. Vol. 736, págs. 333–338, (2014).0370-26931873-2445http://hdl.handle.net/10272/10851We introduce the basic concepts of catastrophe theory needed to derive analytically the phase diagram of the proton-neutron interacting boson model (IBM-2). Previous studies [1,2,3] were based on numerical solutions. We here explain the whole IBM-2 phase diagram including the precise order of the phase transitions in terms of the cusp catastrophe.engProton-neutron interacting boson modelQuantum phase transitionCatastrophe theoryDisentangling phase transitions and critical points in the proton–neutron interacting boson model by catastrophe theoryjournal article10.1016/j.physletb.2014.07.038open access