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

Abstract

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.

Isospin violating decay Ds*→Dsπ0 i

“…(34) and (35) we adopt the ∆ = 0 result to predict the decay width and total width of D * s . Strategy B: We consider the naturalness of the chiral perturbation theory [53,54]. The amplitude can be expanded generally in power series of q/Λ χ as follows,…”

Light pseudoscalar meson and heavy meson scattering lengths to $\mathcal{O}(p^4)$ in heavy meson chiral perturbation theory

“…Finally, we can estimate the meson and doubly charmed (bottom) baryon scattering lengths through the heavy diquark-antiquark (HDA) symmetry, as done in ref. [63]. We take the values of the physical baryon masses: M Ξcc = 3621.55 MeV, M Ωcc = 3778 MeV, M Ξ bb = 10202 MeV, and M Ω bb = 10359 MeV from the PDG [62] and the relativistic quark model [64].…”

QCD sum rules analysis of weak decays of doubly heavy baryons: the $$b\rightarrow c$$ processes

“…The discovery of the doubly charmed baryon has triggered many related theoretical researches on the masses, lifetimes, strong coupling constants, and decay widths of doubly heavy baryons. They are based on various model calculations , SU(3) symmetry analysis [27][28][29], effective theories [30][31][32][33][34][35][36][37][38][39][40], QCD sum rules [41][42][43] and light-cone sum rules [44][45][46][47][48][49][50][51][52]. For a recent review, see [53].…”