One-dimensional bosonic and fermionic anyons with zero-range interactions have distinct universal momentum tails, with k^-2 and k^-3 prefactors set by the statistical parameter, the scattering length, and the two- and three-body Tan contacts.
Baym, Lectures on Quantum Mechanics(CRC Press, 2018)
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Universal momentum tail of identical one-dimensional anyons with two-body interactions
One-dimensional bosonic and fermionic anyons with zero-range interactions have distinct universal momentum tails, with k^-2 and k^-3 prefactors set by the statistical parameter, the scattering length, and the two- and three-body Tan contacts.