Two-parton Light-cone Distribution Amplitudes of Tensor Mesons

Abstract

We present a detailed study of the two-parton light-cone distribution amplitudes for $1{}^3{P}_2$ nonet tensor mesons. The asymptotic two-parton distribution amplitudes of twist-2 and twist-3 are given. The decay constants $f_T$ and $f_T^{\perp }$ defined by the matrices of non-local operators on the lightcone are estimated using the QCD sum rule techniques. We also study the decay constants for $f_2(1270)$ and $f_2^{\prime }(1525)$ based on the hypothesis of tensor meson dominance together with the data of $\Gamma (f_2\to \pi \pi )$ and $\Gamma (f_2^{\prime }\to K\bar{K})$ and find that the results are in accordance with the sum rule predictions.

Comments: 13 pages, 1 figure