Magnetic moments of the spin-$\frac{3}{2}$ doubly charmed baryons in covariant baryon chiral perturbation theory

Abstract

Inspired by the discovery of the spin-$\frac{1}{2}$ doubly charmed baryon ${\Xi }_{cc}^{++}$ and the subsequent theoretical studies of its magnetic moments, we study the magnetic moments of its spin-$\frac{3}{2}$ heavy quark spin symmetry counterparts, up to the next-to-leading order in covariant baryon chiral perturbation theory (BChPT) with the extended-on-mass-shell renormalization (EOMS) scheme. With the tree-level contributions fixed by the quark model while the two low energy constants (LECs) $C$ and $H$ controlling the loop contributions determined in two ways: the quark model (case 1) and lattice QCD simulations together with the quark model (case 2), we study the quark mass dependence of the magnetic moments and compare them with the predictions of the heavy baryon chiral perturbation theory (HB ChPT). It is shown that the difference is sizable in case 1, but not in case 2 due to the smaller LECs $C$ and $H$, similar to the case of spin-$\frac{1}{2}$ doubly charmed baryons. Second, we predict the magnetic moments of the spin-$\frac{3}{2}$ doubly charmed baryons and compare them with those of other approaches. The predicted magnetic moments in case 2 for the spin-$\frac{3}{2}$ doubly charmed baryons are closer to those of other approaches. In addition, the large differences in case 1 and case 2 for the predicted magnetic moments may indicate the inconsistency between the quark model and the lattice QCD simulations, which should be checked by future experimental or more lattice QCD data.

arXiv commenta sign problem corrected, and comparion with the lattice QCD data added

References in corpus (64)

• Chiral Dynamics in Nucleons and Nuclei
• Pentaquark and Tetraquark states
• The Belle II Physics Book
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Heavy Baryons in a Quark Model
• First Observation of the Doubly Charmed Baryon Xi_cc^+
• A review of the open charm and open bottom systems
• Electromagnetic excitation of the Delta(1232)-resonance
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Mass spectra of doubly heavy baryons in the relativistic quark model
• Baryons with two heavy quarks: Masses, production, decays, and detection
• Observation of New States Decaying into ${\Lambda }_c^{+}{K}^{-}{\pi }^{+}$ and ${\Lambda }_c^{+}{K}_S^0{\pi }^{-}$
• Towards an understanding of heavy baryon spectroscopy
• Baryons with two heavy quarks
• PREDICTING THE MASSES OF BARYONS CONTAINING ONE OR TWO HEAVY QUARKS
• Search for Doubly Charmed Baryons Xi_cc^+ and Xi_cc^++ in BABAR
• Charmed and Bottom Baryons from Lattice NRQCD
• Field theory of nucleon to higher-spin baryon transitions
• Chiral Lagrangian with Heavy Quark-Diquark Symmetry
• Ground-state triply and doubly heavy baryons in a relativistic three-quark model
• Charmed baryons in a relativistic quark model
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Static properties and semileptonic decays of doubly heavy baryons in a nonrelativistic quark model
• Correspondence of consistent and inconsistent spin-3/2 couplings via the equivalence theorem
• Charmed baryons at the physical point in 2+1 flavor lattice QCD
• Charmed baryons in lattice QCD
• Excited State Mass spectra of doubly heavy baryons ${\Omega }_{cc}$, ${\Omega }_{bb}$ and ${\Omega }_{bc}$
• Masses and magnetic moments of heavy flavour baryons in hyper central model
• Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model
• Spectroscopy of doubly-charmed baryons from lattice QCD
• Spectroscopy of doubly charmed baryons
• Mass spectra of doubly heavy Omega_QQ' baryons
• Strong and radiative decays of the doubly charmed baryons
• Spin 1/2^+, spin 3/2^+ and transition magnetic moments of low lying and charmed baryons
• Low-lying baryon masses using $N_f=2$ twisted mass clover-improved fermions directly at the physical point
• Radiative decays of the doubly charmed baryons in chiral perturbation theory
• A look inside charmed-strange baryons from lattice QCD
• Spectroscopy of Doubly-Charmed Baryons in Lattice QCD
• Masses and semileptonic decays of doubly heavy baryons in a nonrelativistic quark model
• Electromagnetic structure of charmed baryons in Lattice QCD
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Magnetic Moments of $J^P=3/2^{+}$ Heavy Baryons Using Effective Mass and Screened Charge Scheme
• Spectra of Baryons Containing Two Heavy Quarks in Potential Model
• Magnetic moments of the doubly charmed and bottomed baryons
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Charmed baryon spectrum from lattice QCD near the physical point
• Baryon Masses in Lattice QCD with Exact Chiral Symmetry
• Strange and charm baryon masses with two flavors of dynamical twisted mass fermions
• Lattice QCD study of doubly-charmed strange baryons
• Precision measurement of the ${\Xi }_{cc}^{++}$ mass
• Leading-order decuplet contributions to the baryon magnetic moments in Chiral Perturbation Theory
• Magnetic moments of the spin-1/2 doubly charmed baryons in covariant baryon chiral perturbation theory
• Radiative transitions of doubly charmed baryons in lattice QCD
• Magnetic moments of the spin-$\frac{3}{2}$ doubly heavy baryons
• The heavy baryons in the nonperturbative string approach
• Magnetic moments of doubly heavy baryons in light-cone QCD
• Lattice QCD with $N_f=2+1+1$ domain-wall quarks
• Electromagnetic form factors of spin 1/2 doubly charmed baryons
• Study of Doubly Heavy Baryon Spectrum via QCD Sum Rules
• Magnetic moments of the spin-1/2 singly charmed baryons in covariant baryon chiral perturbation theory
• Quark-diquark structure and masses of doubly charmed baryons
• Magnetic dipole moments of the spin-$\frac{3}{2}$ doubly heavy baryons
• Octet baryon magnetic moments at next-to-next-to-leading order in covariant chiral perturbation theory
• Spin-$\frac{3}{2}$ doubly charmed baryon contribution to the magnetic moments of the spin-$\frac{1}{2}$ doubly charmed baryons

Cited by in corpus (6)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Screening of quark charge and mixing effects on transition moments and M1 decay widths of baryons
• Investigating the M1 radiative decay behaviors and the magnetic moments of the predicted triple-charm molecular-type pentaquarks
• Strong decays of the low-lying doubly bottom baryons
• Electromagnetic polarizabilities of the spin-$\frac{1}{2}$ singly heavy baryons in heavy baryon chiral perturbation theory
• Chiral Lagrangians for spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryons