Collapse of systems of relativistic particles |
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Institution: | 1. Centre of Physics, University of Minho, Braga, Portugal;2. Clinical Practice, Braga, Portugal |
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Abstract: | We prove in a very simple way that if a system of N non-relativistic particles interacting by Coulomb or gravitational forces has a (negative) binding energy increasing faster than N, the corresponding system necessarily collapses for N big enough if particles are given relativistic kinetic energy. At the same time our method allows to improve considerably a recently obtained sufficient condition on coupling constants for the collapse of ordinary matter. |
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