The self-gravitating Bose-Einstein condensate

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Scientific paper

We study the characteristics of Bose-Einstein condensates formed by the action of three different potentials: Newtonian self-gravity, hard-sphere repulsion (the Gross-Pittaevski potential), and a harmonic trap potential as used in laboratory experiments. We show that in a certain regime a condensate can form which is much larger than predicted by the quantum self-gravitational ground state radius. Furthermore, the size is independent of the number of particles in the condensate. We speculate that massive objects of this type may form in extreme isolation through gravitational accretion onto a fixed-size object. We propose that these be called deep-space quantum objects, or DSQOs (discos). Analytical Hartree-Fock solutions for the DSQO ground state are obtained, along with a formula for the limiting DSQO radius and energy. These are then compared with numerical calculations. Prospects for DSQO formation are briefly discussed with emphasis on possible cooling mechanisms and the dynamic stability of structures formed by accretion.

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