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

Abstract

We estimate the $\bar D^*D^*_0$ and $\bar B^*B^*_0(1^--)$ 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 $M_{D^*D^*_0} = 5244(228)$ MeV which is heavier than the experimental candidates Y(4260); Y(4360); Y(4660) suggesting that they cannot be pure molecule states. We predict $M_{B^*B^*_0}= 11920(159)$ MeV to be tested in B-factory experiments.