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

TL;DR

This paper uses advanced QCD spectral sum rules to estimate the masses and couplings of specific meson molecules, providing more precise results that challenge some experimental interpretations and predicting new states for future testing.

Contribution

It offers the first N2LO QSSR estimates of $ar D^*D^*_0$ and $ar B^*B^*_0$ molecules, improving accuracy over previous LO results and including higher-dimensional condensate effects.

Findings

Estimated $M_{D^*D^*_0}$ is 5244 MeV, heavier than some experimental candidates.

Predicted $M_{B^*B^*_0}$ is 11920 MeV, awaiting experimental verification.

Results suggest certain observed states are unlikely to be pure molecular states.

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.