Heavy quark distribution functions in heavy baryons

Abstract

Using the Bethe-Salpeter (B-S) equations for heavy baryons Lambda_Q, Sigma_Q, Xi_Q and Omega_Q (Q=b or c), which were established in previous work, we calculate the heavy quark distribution functions in these baryons. The numerical results indicate that these distribution functions have an obvious peak at some fraction, alpha_0, of the baryon's light-cone ``plus'' momentum component carried by the heavy quark, and that as m_Q becomes heavier this peak becomes sharper and closer to 1. The dependence of the distribution functions on various input parameters in the B-S model is also discussed. The results are seen to be qualitatively similar to an existing phenomenological model.Comment: 29 pages, 12 figure

X(3872) as a molecular DD¯*Wang1, Qi2, Guo3 et al. 2018Phys. Rev. D171140View full textAdd to dashboardCite

“…The Bethe-Salpeter (BS) equation is a formally exact equation to describe the relativistic bound state [39][40][41] and has been applied to many theoretical studies concerning heavy mesons and heavy baryons [42][43][44][45][46][47][48][49][50]. In this paper, we will work in the BS equation approach which can automatically include relativistic corrections comparing with the potential model which was applied in Ref.…”

Analysis of localized CP asymmetry in $${\bar{B}}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi ^{0}(K^{0})$$

“…Contradicting the predictions of the theory, large CP asymmetry connected with the ρ and ω interference is found, and cancels when intergration with the phase spaces. However, there is a evident signal about CP asymmetry at invariant mass value m(π + π − ) below the mass of ρ(770) 0 from the decay B + → π + π − π − [40,48,49]. The search for direct CP asymmetry in charmless B s decay may be measured in the near future.…”

Chiral Extrapolation of Lattice Data of Λ b →Λ c Form Factors

“…5(a) in Ref. [25]. Then, we can get the results of the m 2 π -dependence for {f L,T,0 , g L,T,0 } (NLO) in the ChPT and HQET framework, which are shown in Fig.…”

“…The uncertainties of the input parameters are also chosen as the values in Ref. [5,25], and their contributions to the uncertainties of F.F.s, denoted as ∆f (NLO) , are listed together in Table 4. Then, we have…”