Abstract
Inspired by the recent observation of the by the LHCb Collaboration, we explore the “decay constants” of doubly heavy baryons in the framework of QCD sum rules. With the , and baryons interpolated by three-quark operators, we calculate the correlation functions using the operator product expansion and include the contributions from operators up to dimension six. On the hadron side, we consider both contributions from the lowest-lying states with and from negative parity baryons with . We find that the results are stable and the contaminations from negative parity baryons are not severe. These results are ingredients for the QCD study of weak decays and other properties of doubly-heavy baryons.
Highlights
It is widely believed that doubly heavy baryons with two charm and/or bottom quarks exist in reality, but their experimental search has been a while
In order to decipher the internal nature of doubly heavy baryons and uncover the underlying dynamics in the transition, more experimental investigations of the production and decays are heavily demanded
Further theoretical studies on weak decays of doubly heavy baryons will be of great importance [9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30], and in particular the solid QCD analyses of weak decays and production are heavily requested
Summary
It is widely believed that doubly heavy baryons with two charm and/or bottom quarks exist in reality, but their experimental search has been a while. In 2017, in the Λ+c K−π+π+ final state the LHCb collaboration has observed the doubly charmed baryon Ξ+cc+ with the mass [8]: mΞ+cc+ = (3621.40 ± 0.72 ± 0.27 ± 0.14) MeV. We will present an analysis of the “decay constant” of doubly heavy baryons in the framework of QCD sum rules (QCDSR). II, we will present the calculation of correlation function in QCD sum rules, including the explicit expressions of the spectral functions We include both the contributions from the JP = 1/2+ baryons and the contamination from the JP = 1/2− baryons.
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