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About conditions of spatial collapse in an infinite system of Bose particles

Using the variational principle, we show that the condition of spatial collapse in a Bose gas is not determined by the value of the scattering length of the interaction potential between particles contrary to the result following from the Gross--Pitaevskii equation, where the collapse should take place at a negative scattering length.

preprint2022arXivOpen access
B. E. GrinyukK. A. Bugaev
cond-mat.quant-gasquant-ph
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B. E. GrinyukK. A. Bugaev

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