Abstract

In this work, we investigate the chiral corrections to the magnetic moments of the spin-3over 2 doubly charmed baryons systematically up to next-to-next-to-leading order with the heavy baryon chiral perturbation theory. The numerical results are given up to next-to-leading order: mu _{varXi ^{*++}_{cc}}=2.61mu _{N}, mu _{varXi ^{*+}_{cc}}=-0.18mu _{N}, mu _{varOmega ^{*+}_{cc}}=0.17mu _{N}. As a by-product, we have also calculated the magnetic moments of the spin-3over 2 doubly bottom baryons and charmed bottom baryons: mu _{varXi ^{*0}_{bb}}=2.83mu _{N}, mu _{varXi ^{*-}_{bb}}=-1.33mu _{N}, mu _{varOmega ^{*-}_{bb}}=-1.54mu _{N}, mu _{varXi ^{*+}_{bc}}=3.22mu _{N}, mu _{varXi ^{*0}_{bc}}=-0.84mu _{N}, mu _{varOmega ^{*0}_{bc}}=-1.09mu _{N}.

Highlights

  • Introduction76], the magnetic moments charmed baryons have been investigated

  • A doubly charmed baryon was first reported by the SELEXCollaboration in the decay model Ξc+c → Λ+c K −π + with the mass MΞc+c = 3519 ± 1 MeV [1]

  • We investigate the magnetic moments of the spin

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Summary

Introduction

76], the magnetic moments charmed baryons have been investigated. The magnetic charmed baryons were first investigated in the naive quark model by Lichtenberg [64]. Many authors have employed the quark model to calculate the charmed baryon magnetic moments [34,39,69]. Compared with the quark model, the chiral perturbation theory (ChPT) [77,78] provides a systematic framework to calculate the electromagnetic form factors of the baryons order by order. 3 2 to charmed baryons transition magnetic moments were investigated [79,85–90]. 5, with the help of the quark model, we estimate the LECs and give the numerical results of the magnetic moments to the next-toleading order.

The leading order chiral Lagrangians
The next-to-leading order chiral Lagrangians
The higher order chiral Lagrangians
Formalism up to one-loop level
MN μN 64π 2 fφ2
Numerical results and discussions
Conclusions
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