Three-body generalization of the Sutherland model with internal degrees of freedom

Abstract

A generalized spin Sutherland model including a three-body potential is proposed. The problem is analyzed in terms of three first-order differential-difference operators, obtained by combining SUSYQM supercharges with the elements of the dihedral group~$D_6$. Three alternative commuting operators are also introduced.

8 pages, LaTeX, no figures, to be published in Europhys. Lett

References in corpus (6)

• Exchange Operator Formalism for Integrable Systems of Particles
• Yang-Baxter equation in spin chains with long range interactions
• On Models with Inverse-Square Exchange
• Integrable Systems for Particles with Internal Degrees of Freedom
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Cited by in corpus (2)

• An exactly solvable three-particle problem with three-body interaction
• $\mathcal{P}\mathcal{T}$ deformation of Calogero-Sutherland models