${\bar{D}}^{\ast }{D}_0^{\ast }$ and ${\bar{B}}^{\ast }{B}_0^{\ast }(1^{-}-)$ molecules at N2LO from QSSR

Abstract

We estimate the ${\bar{D}}^{\ast }{D}_0^{\ast }$ and ${\bar{B}}^{\ast }{B}_0^{\ast }(1^{-}-)$ molecules masses and couplings using QCD spectral sum rules (QSSR)known perturbatively to N2LO of PT series and including the contributions of non-perturabtive condensates up to the dimension-eight. Our results improve earlier LO results obtained from QSSR in the current literature. We obtain $M_{D^{\ast }{D}_0^{\ast }}=5244(228)$ MeV which is heavier than the experimental candidates Y(4260); Y(4360); Y(4660) suggesting that they cannot be pure molecule states. We predict $M_{B^{\ast }{B}_0^{\ast }}=11920(159)$ MeV to be tested in B-factory experiments.

Comments: 4 pages, 12 figures, Talk given at the 17th International Conference on Quantum Chromodynamics (QCD 14) (29 june - 3 july 2014, Montpellier-France), to appear in Nucl. Phys. B (Proc. Suppl.)