About Conditions of Spatial Collapse in an Infinite System of Interacting Bose Particles
ECT* - Villa Tambosi
Strada delle Tabarelle, 286
Trento - Italy
A sufficient criterion for a possibility of the spatial collapse effect in an infinite system of Bose particles is established on the basis of the variational principle with the use of Jastrow correlation factors in the wave function. It is demonstrated, that the two-particle scattering length has no relation to a criterion of possibility for the spatial collapse to take place, on the contrary to the statement based on the Gross-Pitaevskii equation. Using the obtained sufficient criterion, we show that in hypothetical nuclear matter, if it consisted of α- particles, spatial collapse would take place under the assumption of any αα-interaction potential from the known set of Ali-Bodmer ones.
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People
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Dr. Grinyuk received his M.Sc. from the Taras Shevchenko National University of Kyiv, Ukraine in 1975 and his Ph.D. from the Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Unkraine in 1980. Subsequently, he joined the Bogolyubov Institute as a researcher in the Department for Theory of Nuclei and Quantum Field Theory. His scientific activity is focused on the quantum-mechanical dynamics of few-nucleon and few-cluster systems using both analytical and numerical methods.
