Y. Kato et T. Yamamoto, JACK POLYNOMIALS WITH PRESCRIBED SYMMETRY AND HOLE PROPAGATOR OF SPINCALOGERO-SUTHERLAND MODEL, Journal of physics. A, mathematical and general (Print), 31(46), 1998, pp. 9171-9184
We study the hole propagator of the Calogero-Sutherland model with SU(
2) internal symmetry. We obtain the exact expression for arbitrary non
-negative integer coupling parameter beta and prove the conjecture pro
posed by one of the authors. Our method is based on the theory of the
Jack polynomials with a prescribed symmetry.