Analysis of the 1 And 2 States of λ And ξ with QCD sum rules
Yong-Jiang Xu (Department of Physics, College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China); Yong-Lu Liu (Department of Physics, College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China); Ming-Qiu Huang (Department of Physics, College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China)
In this article, we study the ground states and the first radial excited states of the flavor antitriplet heavy baryon states $\Lambda_Q$ and $\Lambda_Q$ with the spin-parity $\Lambda_Q$ by carrying out operator product expansion up to vacuum condensates of dimension $\Lambda_Q$ in a consistent way. We observe for the first time that the higher dimensional vacuum condensates play an important role, and obtain very stable QCD sum rules with variations of the Borel parameters for the heavy baryon states. The predicted masses $\Lambda_Q$ , $\Lambda_Q$ , and $\Lambda_Q$ for the first radial excited states $\Lambda_Q$ , $\Lambda_Q$ , and $\Lambda_Q$ , respectively, are in excellent agreement with the experimental data and support assigning $\Lambda_Q$ , $\Lambda_Q$ , and $\Lambda_Q$ to be the first radial excited states of $\Lambda_Q$ , $\Lambda_Q$ , and $\Lambda_Q$ , respectively. The predicted mass $\Lambda_Q$ for $\Lambda_Q$ can be confirmed using experimental data in the future.
