Magnetic moments of heavyΞQbaryons in light cone QCD sum rules

Magnetic moments of bottom baryons: Effective mass and screened charge

“…Following NRQM [12], they have also considered the effects of mixing in Ä 0 b and Ä 00 b states resulting in different values in these cases. (3) In light cone QCD sum rules [32,33], available predictions, i.e., Ä À b ¼ Àð0:08 AE 0:02Þ n:m., Ä 0 b ¼ Àð0:045 AE 0:005Þ n:m. are consistent with our results, however, it predicts a larger magnetic moment value for à 0 b ¼ Àð0:18 AE 0:05Þ n:m Comparing our results with a recent calculation based on hypercentral approach by [42], we find that their results are on the larger side even when compared to a similar approach [38]. (4) In the doubly heavy baryon sector, numerical values of magnetic moments of Ä 0 bb , Ä À bb , À bb , and à 0 b are consistent with all the other approaches except for the bag model [39] and relativistic three quark model [36] predictions which are smaller than our results.…”

“…These states are identified by the set of quantum numbers ðJ P ; S d Þ where S d is the spin of a heavy diquark. The spins of the two heavy quarks are coupled to form (S d ¼ 0) antisymmetric spin configuration of diquark [Q 1 Q 2 ] and (S d ¼ 1) symmetric spin configuration of diquark fQ 1 Q 2 g. In literature [30,[32][33][34]37,38,40,41], the standard convention is to denote the symmetric heavy diquark state as unprimed jBi state and antisymmetric one as jB 0 i. In addition, the wave function mixing between jBi and jB 0 i states have also been considered in [17,37,39], which we have ignored in the present analysis.…”

“…Due to increasing experimental activity in bottom quark sector the theoretical focus has now been shifted on the b-baryon properties. Most recent theoretical analyses employ NRQM using AL1 potential [30,31], light cone QCD sum rules [32][33][34], relativistic three quark model [35][36][37], hypercentral model [38] and MIT bag model [39,40] to calculate the magnetic moments and radiative decays of b-baryons. Earlier, Kumar, Dhir, and Verma [27] used effective quark mass and screened quark charge formalism to predict the magnetic moments of spin-1 2 charm baryons, which was later extended to spin-3 2 charmed (C ¼ 1, 2 and 3) baryons.…”

Magnetic moments of the spin- 12 singly charmed baryons in chiral perturbation theory

“…The radiative decays and magnetic moments of the heavy baryons were also studied using the heavy quark symmetry [16], various quark models [17][18][19][20][21][22][23][24], QCD sum rule formalism [25,26] and the bag model [27]. In addition, the magnetic moments of the heavy baryons have been calculated in the bag model [28][29][30], the QCD sum rules [31][32][33], the effective quark mass and screened charge scheme [34], the hyper central model [35], the quark-diquark Model [36], the skyrme model [37,38], the mean-field approach [39], the bound-state approach [40], and the heavy hadron chiral perturbation theory [11,41,42]. In Ref.…”