Masses of the tensor mesons with $J^P=2^{-}$

Abstract

We calculate the two-point correlation function using the interpolating current with $J^{PC}=2^{-}$. After performing the Borel sum rule analysis, the extracted masses of the $2^{--}$ tensor charmonium and bottomonium are $3.97\pm 0.25$ GeV and $10.13\pm 0.34$ GeV respectively. For comparison, we also perform the moment sum rule analysis for the charmonium and bottomonium systems. We extend the same analysis to study the $\bar{q}q,\bar{q}s,\bar{s}s,\bar{q}c,\bar{s}c,\bar{q}b,\bar{s}b$ and $\bar{c}b$ systems. Their masses are $1.78\pm 0.12,1.85\pm 0.14,2.00\pm 0.16,2.86\pm 0.14,3.01\pm 0.21,5.66\pm 0.33,6.40\pm 0.25$, and $7.08\pm 0.34$ GeV respectively.

Comments: 12 pages, 16 figures and 1 table. Accepted by Nuclear Physics B