Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2009-07-14
Phys.Rev.C80:024320,2009
Physics
Nuclear Physics
Nuclear Theory
8 pages, 7 figures
Scientific paper
10.1103/PhysRevC.80.024320
The Hartree-Fock approximation to the many-fermion problem can break exact symmetries, and in some cases by changing a parameter in the interaction one can drive the Hartree-Fock minimum from a symmetry-breaking state to a symmetry-conserving state (also referred to as a ``phase transition'' in the literature). The order of the transition is important when one applies the random phase approximation (RPA) to the of the Hartree-Fock wavefunction: if first order, RPA is stable through the transition, but if second-order, then the RPA amplitudes become large and lead to unphysical results. The latter is known as ``collapse'' of the RPA. While the difference between first- and second-order transitions in the RPA was first pointed out by Thouless, we present for the first time non-trivial examples of both first- and second-order transitions in a uniform model, the interacting shell-model, where we can compare to exact numerical results.
Johnson Calvin W.
Stetcu Ionel
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