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Résumé |
We solved the three-body mass-imbalanced problem embedded in D dimensions for zerorange
resonantly interacting particles. We derived the negative energy eigenstates of the
three-body Schrodinger equation by imposing the Bethe-Peierls boundary conditions in Ddimensions
for zero-energy two-body bound states. The solution retrieves the Efimov-like
discrete scaling factor dependence with dimension. The analytical form of the massimbalanced
three-body bound state wave function is used to study the single-particle
momentum distribution of mass-imbalanced Efimov states embedded in noninteger
dimensions. The contact parameters, which can be related to the thermodynamic properties
of the gas, were calculated from the high momentum tail of the single particle densities. We
studied the dependence of the contact parameters with the progressive change of the
noninteger dimension. We found that the two- and three-body contacts grow significantly in
magnitude with the decrease of the noninteger dimension, impacting observables of
resonantly interacting trapped Bose gases. At the end, I discuss about the signature of an
unatomic system which is revealed by a continuous scale invariance that appears during a
progressive dimensional squeezing of a resonantly interacting trimer. |
