Abstract

We calculate the weak decay form factors of doubly-heavy baryons using three-point QCD sum rules. The Cutkosky rules are used to derive the double dispersion relations. We include perturbative contributions and condensation contributions up to dimension five, and point out that the perturbative contributions and condensates with lowest dimensions dominate. An estimate of a part of the gluon–gluon condensates show that it plays a less important role. With these form factors at hand, we present a phenomenological study of semileptonic decays. The future experimental facilities can test these predictions, and deepen our understanding of the dynamics in the decays of doubly-heavy baryons.

Highlights

  • The quark model has achieved many brilliant successes in hadron spectroscopy, not all predicted particles, even in the ground state, in the quark model have been experimentally established so far

  • In a previous work [6], we have performed an analysis of the decay form factors of doubly-heavy baryons in a lightfront quark model (LFQM)

  • To be compared with Ref. [6], in this work we have considered the contributions from the form factors f3 and g3

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Summary

Introduction

The quark model has achieved many brilliant successes in hadron spectroscopy, not all predicted particles, even in the ground state, in the quark model have been experimentally established so far. In a previous work [6], we have performed an analysis of the decay form factors of doubly-heavy baryons in a lightfront quark model (LFQM). In this light-front study, the diquark picture is adopted, where the two spectator quarks are treated as a bounded system. We will remedy this shortcoming and perform an analysis of the transition form factors using QCD sum rules (QCDSRs). Baryons in the final state contain one heavy bottom/charm quark and two light quarks

Form factors
QCD sum rules
The perturbative contribution
The quark condensate contribution
Mixed quark–gluon condensate contribution
Gluon–gluon condensate contribution
Numerical results
Phenomenological applications
Conclusions
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