On the distribution of collisionless particles in local potential well

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The distribution of collisionless particles with infinite motion in the presence of a local potential well is discussed. Such distribution is important for interpretation of results of dark matter searches. The relationship n/v=const, where n and v are respectively number density and velocity of particles, is derived for particles crossing a local potential well. The limits of application of this relationship are specified.
6 pages, 1 figure

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