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Collisional interactions between self-interacting nonrelativistic boson stars: Effective potential analysis and numerical simulations

Eric Cotner*

  • Department of Physics and Astronomy, University of California, Los Angeles, California 90095-1547, USA

  • *ecotner@physics.ucla.edu

Phys. Rev. D 94, 063503 – Published 8 September, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.063503

Abstract

Scalar particles are a common prediction of many beyond the Standard Model theories. If they are light and cold enough, there is a possibility they may form Bose-Einstein condensates, which will then become gravitationally bound. These boson stars are solitonic solutions to the Einstein-Klein-Gordon equations but may be approximated in the nonrelativistic regime with a coupled Schrödinger-Poisson system. General properties of single soliton states are derived, including the possibility of quartic self-interactions. Binary collisions between two solitons are then studied, and the effects of different mass ratios, relative phases, self-couplings, and separation distances are characterized, leading to an easy conceptual understanding of how these parameters affect the collision outcome in terms of conservation of energy. Applications to dark matter are discussed.

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