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The excitation spectrum of specific conformal field theories (CFT) withcentral charge $c=1$ can be described in terms of quasi-particles with charges$Q=-p,+1$ and fractional statistics properties. Using the language of Jackpolynomials, we compute form factors of the charge density operator in theseCFTs. We study a form factor expansion for the finite temperaturedensity-density correlation function, and find that it shows a quickconvergence to the exact result. The low-temperature behavior is recovered froma form factor with $p+1$ particles, while the high-temperature limit isrecovered from states containing no more than 3 particles.Comment: 15 pp, 6 fi

A form-factor approach to finite-temperature correlation functions in c $equal$ 1 CFT