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

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Abstract

We 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.

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García 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).

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