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

Meng, L.; Li, Hao-Song; Liu, Zhan-Wei; Zhu, Shi-Lin

doi:10.1140/epjc/s10052-017-5447-8

Cited by 39 publications

(34 citation statements)

References 112 publications

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“…We also need the Lagrangians to describe the (transition) magnetic moments at the tree level, which can be written as [36][37][38]…”

Section: A the Leading-order Chiral Lagrangiansmentioning

confidence: 99%

“…Here, we adopt the SU(3) chiral perturbation theory (χPT) to investigate the radiative decay properties and magnetic moments of the D Ã and B Ã mesons. The framework of χPT has been widely used to study the radiative decays and magnetic moments of the charmed and bottom vector mesons 1 [28][29][30][31], the octet baryons [34,35], the doubly charmed and bottom heavy baryons [36][37][38][39], and the singly heavy baryons [40][41][42][43], as well as the related chiral quark-soliton model for singly heavy baryons [44,45]. In our calculations, we construct the effective Lagrangians with chiral symmetry and heavy quark symmetry up to Oðp 4 Þ.…”

Section: Introductionmentioning

confidence: 99%

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Radiative transitions and magnetic moments of the charmed and bottom vector mesons in chiral perturbation theory

et al. 2019

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In this work, we systematically study the radiative decays and magnetic moments of the charmed and bottom vector mesons with chiral perturbation theory up to one-loop level. We present the results in the SU(2) and SU(3) cases with the mass splitting in loop diagrams kept and unkept, respectively. The obtained decay rates for D Ã and B Ã mesons in the SU(3) case with the mass splitting kept are ΓDÃ0 →D 0 γ ¼ 16.2 þ6.5 −6.0 keV, Γ D Ã− →D − γ ¼ 0.73 þ0.7 −0.3 keV, Γ D Ã− s →D − s γ ¼ 0.32 þ0.3 −0.3 keV, and Γ B Ãþ →B þ γ ¼ 0.58 þ0.2 −0.2 keV, Γ B Ã0 →B 0 γ ¼ 0.23 þ0.06 −0.06 keV, Γ B Ã0 s →B 0 s γ ¼ 0.04 þ0.03 −0.03 keV. The decay width for D Ã− → D − γ is consistent with the experimental measurement. As a byproduct, the full widths ofD Ã0 and D Ã− s are Γ tot ðD Ã0 Þ ≃ 77.7 þ26.7 −20.5 keV and Γ tot ðD Ã− s Þ ≃ 0.62 þ0.45 −0.50 keV, respectively. We also calculate the magnetic moments of the heavy vector mesons. The analytical chiral expressions derived in our work shall be helpful for the extrapolations of lattice QCD simulations in the future.

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“…We also need the Lagrangians to describe the (transition) magnetic moments at the tree level, which can be written as [36][37][38]…”

Section: A the Leading-order Chiral Lagrangiansmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Radiative transitions and magnetic moments of the charmed and bottom vector mesons in chiral perturbation theory

et al. 2019

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“…The electromagnetic properties and radiative decays of the doubly heavy baryons have been discussed in Refs. [10][11][12][13][14]. The possible bound states composed of the doubly charmed baryons were investigated in Refs.…”

Section: Introductionmentioning

confidence: 99%

Light pseudoscalar meson and doubly charmed baryon scattering lengths with heavy diquark-antiquark symmetry

Meng

Zhu

2019

Phys. Rev. D

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We adopt the heavy baryon chiral perturbation theory (HBChPT) to calculate the scattering lengths of φB ( * ) cc up to O(p 3 ), where φ is the pseudoscalar mesons. The recoil effect and the mass splitting between the spin-1 2 and spin-3 2 doubly charmed baryons are included. In order to give the numerical results, we construct the chiral Lagrangians with heavy diquark-antiquark (HDA) symmetry in a formally covariant approach. Then, we relate the low energy constants (LECs) of the doubly charmed baryons to those of D ( * ) mesons. The LECs for the φD ( * ) scattering are estimated in two scenarios, fitting lattice QCD results and using the resonance saturation model. The chiral convergence of the first scenario is not good enough due to the the large strange quark mass and the presence of the possible bound states, virtual states and resonance. The final results for two scenarios are consistent with each other. The interaction for the [πΞ ( * ) cc ] (1/2) , [KΞ ( * ) cc ] (0) , [KΩ ( * ) cc ] (1/2) , [ηΞ ( * ) cc ] (1/2) , [ηΩ ( * ) cc ] (0) and [KΞ ( * ) cc ] (0) channels are attractive. The most attractive channel [KΞ ( * ) cc ] (0) may help to form the partner states of the D * s0 (2317) (Ds1 (2460)) in the doubly heavy sector.

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“…The approximate mass eigenstates for the bc sector can be defined as B (1) bc ≡ b(cq) S and B (2) bc ≡ b(cq) A ; then it can be derived from Eqs. (15) and (16) that…”

Section: Flavor-spin Wave Functionsmentioning

confidence: 99%

“…This discovery has already triggered great theoretical interest in the study of doubly heavy baryons from various aspects [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. Also after observing the first decay mode,…”

Section: Introductionmentioning

confidence: 99%

Weak decays of doubly heavy baryons: the $$1/2\rightarrow 3/2$$ 1 / 2 → 3 / 2 case

Zhao

2018

Eur. Phys. J. C

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As a continuation of our previous work, we investigate the weak decays of doubly heavy baryons into a spin-3/2 singly or doubly heavy baryon. The light-front approach is adopted to handle the dynamics in the transitions, in which the two spectator quarks are approximated as a diquark. Results for the form factors are then used to calculate decay widths of semileptonic and nonleptonic processes. The flavor SU(3) symmetry and symmetry breaking effects in semileptonic decays modes are explored, and we point out that in the charm sector, there are sizable symmetry breaking effects. For nonleptonic decay modes, we study only the factorizable channels induced by external Wemission. We find that branching fractions for most 1/2 to 3/2 transitions are approximately one order of magnitude smaller than the corresponding ones for the 1/2 to 1/2 transitions. Parametric uncertainties are also investigated in detail. We suggest our experimental colleagues to search for the 1/2 to 1/2 process ++ cc → + c π + and its 1/2 to 3/2 counterpart ++ cc → * + c π +. Their branching ratios turn out to be around 5.00% and 1.02%. The former branching ratio is expected to be close to that of the recently discovered ++ cc → + c π + process. c , +, 0 c and 0 c. They all have spin 1/2, while, for the spin-3/2 sextet, we will denote them by * ++, * +, * 0 c , * +, * 0 c and * 0 c. The singly bottom baryons can be analyzed in a similar way. * cc * cc * bc * bc {bc}s 1 + 3/2 + Fig. 1 Anti-triplets (a) and sextets (b) of charmed baryons with one charm quark and two light quarks. These are spin-1/2 baryons, while spin-3/2 baryons constitute another sextet Λ +

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

Cited by 39 publications

References 112 publications

Radiative transitions and magnetic moments of the charmed and bottom vector mesons in chiral perturbation theory

Radiative transitions and magnetic moments of the charmed and bottom vector mesons in chiral perturbation theory

Light pseudoscalar meson and doubly charmed baryon scattering lengths with heavy diquark-antiquark symmetry

Weak decays of doubly heavy baryons: the $$1/2\rightarrow 3/2$$ 1 / 2 → 3 / 2 case

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