Magnetic moments of the spin- 1/2 doubly charmed baryons in covariant baryon chiral perturbation theory

Abstract

Inspired by the recent discovery of the Ξ þþ cc by the LHCb Collaboration, we study the magnetic moments of the spin-1=2 doubly charmed baryons up to the next-to-leading order in covariant baryon chiral perturbation theory with the extended-on-mass-shell renormalization scheme. There are three low energy constants at this order: a 1 , a 2 , and g a . The latest lattice QCD simulations allow us to fix a combination of a 1 and a 2 , while the axial-vector coupling g a can be determined in three different ways: by fitting to the lattice QCD data, by the quark model, or by the heavy antiquark diquark symmetry. The magnetic moments of the spin-1=2 doubly charmed baryons, Ξ d cc and Ξ s cc , can then be predicted. We compare our results with those obtained in the heavy baryon chiral perturbation theory and other approaches, and point out some inconsistencies between the lattice QCD simulations and the quark model.

Triply charmed dibaryons in the one boson exchange model

“…The coupling of the π to the doubly charmed baryon can be derived from either the quark model or HADS. Both approaches yield a similar value: g 1 ¼ −0.25 [70] from the quark model and g 1 ¼ −0.2 [71] from HADS, and in this work we adopt −0.2. The coupling of the π to Σ c and Σ Ã c , g 2 , was extracted to be 0.84 in lattice QCD [72], which is smaller than the prediction of the quark model [73].…”

Bound state formation in the DDK system

“…In this line, experimental and theoretical efforts, during the past years, have been dedicated to the study of doubly charmed baryons, like Ξ þ cc , Ξ þþ cc , Ω þ cc (see, for example, Refs. [3][4][5][6][7][8][9][10][11][12][13][14][15][16]), and doubly charmed mesons, like the T cc family and others (see, for example, Refs. [17][18][19][20][21][22][23][24][25][26][27]).…”

Magnetic moments of doubly heavy baryons in light-cone QCD

“…We should also stress that the primary source of uncertainties is the variations with respect to s 0 and the results weakly depend on the choices of the Borel mass parameter. In Table I, we compare our predictions with the results obtained using other approaches, such as quark model (QM) [60], relativistic three-quark model (RTQM) [56], nonrelativistic quark model in Faddeev approach (NRQM) [52], relativistic quark model (RQM) [55], skyrmion model [61], MIT bag model [50,59,62], nonrelativistic quark model (NQM) [53], relativistic harmonic confinement model (RHM) [54], lattice QCD [57], heavy baryon chiral perturbation theory (HBChBT) [58] and covariant baryon chiral perturbation theory with the extended on-mass-shell scheme (EOMS BHCPT) [63,64]. From a comparison of our results with the of other approaches we see that for the Ξ ++ ccu baryon, all results more or less consistent with each other except the results of Ref.…”

“…Furthermore, the weak decays of DHB give an insight to the dynamics of singly heavy baryons. Therefore, the masses , magnetic moments [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66], radiative [45,[67][68][69], strong [40,46] and weak decays [22,[70][71][72][73] of the DHB have been studied extensively in literature in the framework of the lattice QCD, quark models, chiral perturbation theory (ChPT), potential models, QCD sum rules (QCDSR), lightcone QCD sum rules (LCSR), SU(3) flavor symmetry, heavy quark effective theory (HQET), nonperturbative string approach, Faddeev approach, Feynman-Hellmann theorem, extended on-mass-shell renormalization scheme (EOMS), local diquark approach, perturbative QCD (PQCD), light front approach and extended chromomagnetic model. It is worth mentioning that, various models lead to quite different predictions for the dynamic and static properties of DHB, which may be used to distinguish these models.…”

“…The magnitude and sign of the dipole magnetic moment is provide important information on structure, size and shape of hadrons. The magnetic dipole moments of the spin-1/2 DHB have been studied in different theoretical models and approaches [52][53][54][55][56][57][58][59][60][61][62][63][64].…”