Geodesic
An~exactly solvable one-dimensional problem with several particle species
Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 1, pp. 155-160

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A one-dimensional system of Fermi or Bose particles With interaction potential $g/x^2$ is considered. Exact expressions are obtained for the thermodynamic functions. The binary correlation function is calculated in the ground state as $g\to\infty$. The generalization of the model to the case of several particle species is considered. 
@article{TMF_1982_50_1_a8,
     author = {V. Ya. Krivnov and A. A. Ovchinnikov},
     title = {An~exactly solvable one-dimensional problem with several particle species},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {155--160},
     publisher = {mathdoc},
     volume = {50},
     number = {1},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_50_1_a8/}
}
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V. Ya. Krivnov; A. A. Ovchinnikov. An~exactly solvable one-dimensional problem with several particle species. Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 1, pp. 155-160. http://geodesic.mathdoc.fr/item/TMF_1982_50_1_a8/