Breaking and restoring symmetries within the nuclear energy density functional method

Details Breaking and restoring symmetries within the nuclear energy density functional method Breaking and restoring symmetries within the nuclear energy density functional method

2010-01-05

arxiv.org/abs/1001.0673v2

J.Phys.G37:064009,2010

Physics

Nuclear Physics

Nuclear Theory

16 pages, 3 figures, contribution to the "Focus issue on Open Problems in Nuclear Structure", Journal of Physics G

Scientific paper

10.1088/0954-3899/37/6/064009

We review the notion of symmetry breaking and restoration within the frame of nuclear energy density functional methods. We focus on key differences between wave-function- and energy-functional-based methods. In particular, we point to difficulties to formulate the restoration of symmetries within the energy functional framework. The problems tackled recently in connection with particle-number restoration serve as a baseline to the present discussion. Reaching out to angular-momentum restoration, we identify an exact mathematical property of the energy density $E^{LM}(\vec{R})$ that could be used to constrain energy density functional kernels. Consequently, we suggest possible routes towards a better formulation of symmetry restorations within energy density functional methods.

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