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On associations of noninteracting particles (crystal-like neutron structures)

We discuss the physical feasibility of association of particles noninteracting with each other, which arises in accordance with the uncertainty relation under the 'corporate' spatial confinement of the particle ensemble as a whole. Investigation is conducted by the example of an ensemble of ultracold neutrons placed in a common potential well of infinite depth. We present quantitative estimates and indicate the expected properties of the arising crystal-like spatially periodic structures.