Magnetic moments of doubly heavy baryons in light-cone QCD

Özdem, U.

doi:10.1088/1361-6471/aafffc

Cited by 32 publications

(8 citation statements)

References 96 publications

(127 reference statements)

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“…This method is quite successful in determining properties of the doubly heavy baryons (see e.g. [24,31,32,[48][49][50]79]). The outline of the paper is as follows.…”

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confidence: 99%

Magnetic dipole moments of the spin-$$\frac{3}{2}$$ doubly heavy baryons

Özdem

2020

Eur. Phys. J. A

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The magnetic dipole moments of the spin-3 2 doubly charmed, bottom and charmed-bottom baryons are obtained by means of the light-cone QCD sum rule. The magnetic dipole moments of these baryons encode important information of their internal structure and shape deformations. The numerical results are given as, µ Ξ * ++ cc = 2.94 ± 0.95, µ Ξ * + cc = −0.67 ± 0.11, µ Ω * + cc = −0.52 ± 0.07, µ Ξ * 0 bb = 2.30 ± 0.55, µ Ξ * − bb = −1.39 ± 0.32, µ Ω * − bb = −1.56 ± 0.33, µ Ξ * + bc = 2.12 ± 0.68, µ Ξ * 0 bc = −0.96 ± 0.32 and µ Ω * + bc= −1.11 ± 0.33, respectively. A comparison of our results on the magnetic dipole moments of the spin-3 2 doubly heavy baryons with the predictions of different approaches is presented. The consistency of the predictions with some (but not all) theoretical predictions is good.

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“…This method is quite successful in determining properties of the doubly heavy baryons (see e.g. [24,31,32,[48][49][50]79]). The outline of the paper is as follows.…”

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confidence: 99%

Magnetic dipole moments of the spin-$$\frac{3}{2}$$ doubly heavy baryons

Özdem

2020

Eur. Phys. J. A

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“…The wave function in coordinate space is given by x |ψ = d 3 q (2π) 3/2 e i q• x q |ψ = 2π (2π) 3/2 g 2 r qmax 0 q dq 1 E − w 1 ( q ) − w 2 ( q ) sin(qr). (35) It is interesting to note that unlike in ordinary potentials, which could be simulated with q max → ∞ and w 1 ( q ) + w 2 ( q ) and sin(qr) providing convergence in the q integration, in our case q max = 650 MeV corresponds to a value where q 2 /m 2 i is very small and the w 1 ( q ) + w 2 ( q ) term does not help in the convergence of the integral, which is determined by q max . One can then see that the shape of the wave function does not depend much on E, which diverts from ordinary wave functions with rapidly decreasing local potential where the size is roughly given by r = 1/ √ 2µB, with µ the reduced mass and B the binding.…”

Section: Wave Functionsmentioning

confidence: 99%

“…Much of the attention has been given to weak decays of these states [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26], but strong and electromagnetic decays also received some attention [27][28][29][30][31][32]. Magnetic moments of these states have also been evaluated in different approaches [33][34][35][36]. Concerning masses and spectra of excited states, sum rules have contributed their share, with the customary large uncertainties [19,[37][38][39][40], and have also been used to evaluate weak decays [41,42].…”

Section: Introductionmentioning

confidence: 99%

Molecular $$\Xi _{bc}$$ states from meson–baryon interaction

Dias

et al. 2019

Eur. Phys. J. C

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We have studied the meson-baryon interaction in coupled channels with the same quantum numbers of Ξ bc . The interaction is attractive in some channels and of sufficient intensity to lead to bound states or resonances. We use a model describing the meson-baryon interaction based on an extrapolation of the local hidden gauge approach to the heavy sector, which has been successfully used in predicting Ω c and hidden charm states. We obtain many states, some of them narrow or with zero width, as a consequence of the interaction, which qualify as molecular states in those channels. The success in related sectors of the picture used should encourage the experimental search for such states.

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“…The magnetic moments of baryons play a vital role in understanding their internal structure. For the spin- 1 2 doubly charmed baryons, their magnetic moments have been systematically investigated in the heavy-baryon (HB) chiral perturbation theory (ChPT) [16,17], the extended on-mass shell (EOMS) BChPT [18,19], and the light-cone QCD sum rule (LCSR) [20] after the discovery of Ξ ++ cc . Up to now, the magnetic moments of spin- 3 2 doubly charmed baryons have also been examined in a variety of phenomenological models [21][22][23][24][25][26][27], the LCSR [28], the HB ChPT [29], and lattice QCD simulations [30].…”

Section: Introductionmentioning

confidence: 99%

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

Shi,

Geng

2021

Preprint

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Inspired by the discovery of the spin-1 2 doubly charmed baryon Ξ ++ cc and the subsequent theoretical studies of its magnetic moments, we study the magnetic moments of its spin-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-1 2 doubly charmed baryons. Second, we predict the magnetic moments of the spin-3 2 doubly charmed baryons and compare them with those of other approaches. The predicted magnetic moments in case 2 for the spin-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.

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Magnetic moments of doubly heavy baryons in light-cone QCD

Cited by 32 publications

References 96 publications

Magnetic dipole moments of the spin-$$\frac{3}{2}$$ doubly heavy baryons

Magnetic dipole moments of the spin-$$\frac{3}{2}$$ doubly heavy baryons

Molecular $$\Xi _{bc}$$ states from meson–baryon interaction

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

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