Radiative decays of the doubly charmed baryons in chiral perturbation theory

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

doi:10.1016/j.physletb.2017.12.031

Cited by 76 publications

(61 citation statements)

References 69 publications

(81 reference statements)

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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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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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“…Unfortunately, no other collaborations found such a state. Recently, the LHCb Collaboration observed another doubly charmed baryon state Ξ þþ cc with a mass of 3621.4 AE 0.78 MeV, which has inspired many theoretical studies on its weak [3][4][5], strong, and radiative decays [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

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

2018

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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.

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“…Finally, for each charm quark with position y i and momentump i , whose neighboring charm quarks have positions y j and momentap j , we need to determine the diquark formation rate by using expressions (14), (18), (21). A problem appears, because the two quark distributions should be evaluated at the same position, but the product of two delta functions is ill-defined.…”

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confidence: 99%

“…The baryon energy is fixed by the momentum and vacuum mass mðΞ cc Þ. We assume all diquarks end up as the ground Ξ cc states because excited states decay to the ground state much faster than the weak decay of the ground state [21,22]. In this way, roughly half the diquarks end up as Ξ þþ cc .…”

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confidence: 99%

Doubly charmed baryon production in heavy ion collisions

Yao

Müller

2018

Phys. Rev. D

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We give an estimate of Ξ þþ cc production rate and transverse momentum spectra in relativistic heavy ion collisions. We use Boltzmann transport equations to describe the dynamical evolution of charm quarks and diquarks inside quark-gluon plasma. In-medium formation and dissociation rates of charm diquarks are calculated from potential nonrelativistic QCD for the diquark sector. We solve the transport equations by Monte Carlo simulations. For 2.76 TeV Pb-Pb collisions with 0-10% centrality, the number of Ξ þþ cc produced in the transverse momentum range 0-5 GeV and rapidity from −1 to 1 is roughly 0.02 per collision. We repeat the calculation with a melting temperature 250 MeV above which no diquarks can be formed. The number of Ξ þþ cc produced in the same kinematic region is about 0.0125 per collision. We discuss how to study diquarks at finite temperature on a lattice and construct the antitriplet free energy in a gauge invariant but path dependent way. We also comment on extensions of the calculation to other doubly heavy baryons and doubly heavy tetraquarks and the feasibility of experimental measurements. DOI: 10.1103/PhysRevD.97.074003 Recently the LHCb Collaboration reported the observation of a doubly charmed baryon carrying two units of positive charge, Ξ þþ cc , with a mass mðΞ cc Þ ≈ 3621 MeV [1]. Though it is still unclear why the observed mass differs from the previous SELEX result [2], the existence of such doubly charmed baryons is now on a more solid ground. The particle is stable under strong interactions and only decays weakly. The structure of Ξ þþ cc can be thought of as an up quark bound around a deeply bound state (diquark) of two charm quarks [3]. Just as a pair of heavy quark and heavy antiquark attract each other and can form a bound state in the color singlet channel, a pair of two heavy quarks also attract and can form a bound state, a heavy diquark, in the antitriplet representation.The peculiar properties of Ξ þþ cc have stimulated new theoretical and experimental research. Here we consider the production of Ξ þþ cc in high energy heavy ion collisions, where a hot nuclear environment, the quark-gluon plasma (QGP), is produced. Previous work was based on quark coalescence at hadronization and assumed that heavy quarks are thermally distributed [4,5]. Here we pursue out a more dynamical approach considering the formation of bound heavy diquarks within the quark-gluon plasma and the incomplete equilibration of the heavy quark spectrum.In hadron-hadron collisions, it is difficult to produce a pair of heavy quarks in the color antitriplet at leading order in a fragmentation process. On the other hand, the coalescence process involving two independently produced charm quarks is sensitive to the relative momentum between the heavy quark pair. In proton-proton collisions, the relative momentum is uncontrolled and likely large, suppressing the coalescence. Heavy ion collisions have two advantages for Ξ þþ cc production: First, the rapidity density of charm quarks produced in a single colli...

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Radiative decays of the doubly charmed baryons in chiral perturbation theory

Cited by 76 publications

References 69 publications

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

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

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

Doubly charmed baryon production in heavy ion collisions

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