The SVZ sum rules and the heavy quark limit for ΛQΛ_{Q}

preprint2020arXivOpen access

Abstract

In this work, we evaluate the accuracy of the leading order results in Shifman-Vainshtein-Zakharov (SVZ) sum rules and the leading power results in the heavy quark limit for the mass of ΛQΛ_{Q}. Up to dim-5 condensate contributions are considered. By comparing with the experimental results, we find that the leading order results in SVZ sum rules can reach about 5\% accuracy both for ΛbΛ_{b} and ΛcΛ_{c}, and it seems that better results can be obtained from the sum rules of the heavy quark limit both for ΛbΛ_{b} and ΛcΛ_{c}. We re-check that the SVZ sum rules in the heavy quark limit coincide with the HQET sum rules. As a byproduct, we also have an exploratory discussion on the udud diquark in ΛQΛ_{Q}.

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