Radiative transitions of doubly charmed baryons in lattice QCD

Abstract

We evaluate the spin-3/2 → spin-1/2 electromagnetic transitions of the doubly charmed baryons on 2+1 flavor, 32 3 × 64 PACS-CS lattices with a pion mass of 156(9) MeV/c 2 . A relativistic heavy quark action is employed to minimize the associated systematic errors on charm-quark observables. We extract the magnetic dipole, M 1, and the electric quadrupole, E2, transition form factors. In order to make a reliable estimate of the M 1 form factor, we carry out an analysis by including the effect of excited-state contributions. We find that the M 1 transition is dominant and light degrees of freedom (u/d-or s-quark) play the leading role. E2 form factors, on the other hand, are found to be negligibly small, which in turn, have minimal effect on the helicity and transition amplitudes. We predict the decay widths and lifetimes of Ξ * +,++ cc and Ω * + cc based on our results. Finite size effects on these ensembles are expected to be around 1%. Differences in kinematical and dynamical factors with respect to the N γ → ∆ transition are discussed and compared to non-lattice determinations as well keeping possible systematic artifacts in mind. A comparison to Ωcγ → Ω * c transition and a discussion on systematic errors related to the choice of heavy quark action are also given. Results we present here are particularly suggestive for experimental facilities such as LHCb, PANDA, Belle II and BESIII to search for further states.

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

“…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.…”

Singly heavy baryons with chiral partner structure in a three-flavor chiral model

“…In Table VIII and IX, we show our predictions comparing with those in Ref. [18,32]. In radiative decays, the chiral loop considered in Ref.…”

“…Let us first study the electromagnetic intramultiplet transitions governed by the r 1 -term in Eq. (32). Let B * denotes the decaying baryon with spin-3/2 (B * = Λ * Q1 , Ξ * Q1 , Σ * Q , Ξ ′ * Q , Ω * Q ), and B, the daughter baryon with spin-1/2 (Λ Q1 , Ξ Q1 , Σ Q , Ξ ′ Q , Ω Q ).…”

“…Predicted widths of radiative decays between heavy quark multiplets of charm baryons. We also show the predictions in Ref [18,32]. for comparison.…”

“…[35] and references therein.). In this paper, we make comparisons of our predictions with those in chiral effective models [17,18], quark models [20,25,30], and lattice simulations [31,32]. This paper is organized as follows: We construct an effective Lagrangian in section II.…”