Strong coupling constants of doubly heavy baryons with vector mesons in QCD

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Regular Article - Theoretical Physics

Strong coupling constants of doubly heavy baryons with vector mesons in QCD T. M. Aliev1,a , K. Sim¸ ¸ sek2,b 1 2

Physics Department, Middle East Technical University, Ankara 06800, Turkey Department of Physics and Astronomy, Northwestern University, Evanston, IL 60208, USA

Received: 10 September 2020 / Accepted: 13 October 2020 © The Author(s) 2020

Abstract Using the most general form of the interpolating current for baryons, the strong electric and magnetic coupling constants of light vector mesons ρ and K ∗ with doubly heavy baryons are computed within the light-cone sum rules. We consider 2- and 3-particle distribution amplitudes of the aforementioned vector mesons. The obtained results can be useful in the analysis of experimental data on the properties of doubly heavy baryons conducted at LHC.

1 Introduction The quark model has been very predictive in studying the properties of hadrons [1]. Many baryon states predicted by the quark model have already been observed experimentally. The spectroscopy of doubly heavy baryons has been extensively investigated in many theoretical works. It has been studied in the framework of different approaches such as the Hamilton method [2], the hypercentral method [3], the lattice QCD [4,5], the QCD sum rules [6–12], the Bethe-Salpeter equation [13], and in an extended chromomagnetic model [14]. At the present time, only the Ξcc state is observed in experiments. This state was first observed by SELEX Collaboration in Ξcc → Λc K − π + and p D + K − reactions with the mass 3518.7 ± 1.7 MeV [15,16]. In 2017, the doubly ++ was discovered by LHCb Collaboration with heavy Ξcc the measured mass of 3621.24 ± 0.65 ± 0.31 MeV [17]. The LHCb Collaboration also measured the lifetime of this +0.024 state: τ = 0.256 ± 0.014 ps [18]. This discovery is −0.022 stimulated by many theoretical works for a deeper understanding of the properties of these baryons via studying their electromagnetic, weak, and strong decays. The weak decays a e-mail:

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b e-mail:

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of the doubly heavy baryons have been studied within various approaches such as the light-front approach [19,20], the QCD sum rules approach [21], the light-cone QCD sum rules [22,23], the quark model [24], and the covariant light-front quark model [25]. The radiative transitions of doubly heavy baryons in the framework of different approaches such as relativized quark model [26], in the chiral perturbation theory [27], in the lightcone QCD sum rules [28] are comprehensively studied. The strong coupling constant of light pseudoscalar mesons with doubly heavy baryons within the light-cone QCD sum rules are studied in [29,30]. In this work, we study the strong coupling constants of doubly heavy baryons with vector mesons ρ and K ∗ within the framework of the light-cone sum rules (LCSR). These coupling constants can play an important role in the description of doubly heavy baryons in terms of one boson exchange p