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arXiv · 2002.02747

Fermion self-trapping in the optical geometry of Einstein-Dirac solitons

Peter E. D. Leith·Chris A. Hooley·Keith Horne·David G. Dritschel
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Abstract

We analyze gravitationally localized states of multiple fermions with high angular momenta, in the formalism introduced by Finster, Smoller, and Yau [Phys Rev. D 59, 104020 (1999)]. We show that the resulting soliton-like wave functions can be naturally interpreted in terms of a form of self-trapping, where the fermions become localized on shells the locations of which correspond to those of `bulges' in the optical geometry created by their own energy density.

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Peter E. D. Leith, Chris A. Hooley, Keith Horne, David G. Dritschel. 2020-02-07. Fermion self-trapping in the optical geometry of Einstein-Dirac solitons. https://doi.org/10.1103/physrevd.101.106012

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