Abstract

We study the electromagnetic form factors of the doubly charmed baryons, using covariant chiral perturbation theory within the extended on-mass-shell (EOMS) scheme. Vector-meson contributions are also taken into account. We present results for the baryon magnetic moments, charge and magnetic radii. While some of the chiral Lagrangian parameters could be set to values determined in previous works, the available lattice results for $\Xi_{cc}^+$ and $\Omega_{cc}^+$ only allow for robust constraints on the low-energy constant (LEC) combination, $c_{89}(=-\frac{1}{3}c_8+4c_9)$. The couplings of the doubly charmed baryons to the vector mesons have been estimated assuming the Okubo--Zweig--Iizuka (OZI) rule. We also give the expressions for the form factors of the double beauty baryons considering the masses predicted in the framework of quark models. A comparison of our results with those obtained in heavy baryon chiral perturbation theory (HBChPT) at the same chiral order is made.

Highlights

  • The recent announcement of the observation of the Ξþccþ particle by the LHCb Collaboration [1] has revived interest on the physics of doubly heavy baryons

  • There, the magnetic moments and electromagnetic form factors of Ωþcc and Ξþcc at different values of Q2 were obtained for different lattice configurations and different meson and baryon masses

  • For the kaon and the η meson masses, not explicit in Refs. [33,34,35], we use the Gell-Mann, Oakes, and Renner relations [43,96], taking into account that the strange quark mass is fixed to its physical value

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Summary

INTRODUCTION

The recent announcement of the observation of the Ξþccþ particle by the LHCb Collaboration [1] has revived interest on the physics of doubly heavy baryons. The corresponding power counting involves some difficulties when baryon loops are included in the calculation, and different methods have been developed to overcome this issue such as HBChPT [51], heavy hadron (HH) ChPT, using similar techniques [52,53], and the covariant approaches: infrared [54] and EOMS [55] All these schemes have been widely and successfully used to investigate the electromagnetic structure of light baryons [46,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85].

Interaction with light pseudoscalar mesons
Interaction with vector mesons
Definitions
Calculation of the form factors
Vector mesons
RESULTS
Magnetic moments
Electric and magnetic radii
SUMMARY
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