In this work, we perform a analysis of semi-leptonic and nonleptonic weak decays of heavy baryons: Λ b , Ξ b , Ω b and Λ c , Ξ c , Ω c . For nonleptonic decay modes, we study only the factorizable channels induced by the external W-emission. The two spectator quarks in baryonic transitions are treated as a diquark and form factors are calculated in the lightfront approach. Using the results for form factors, we also calculate some corresponding semi-leptonic and nonleptonic decay widths. We find that our results are comparable with the available experimental data and other theoretical predictions. Decay branching fractions for many channels are found to reach the level 10 −3 ∼ 10 −2 , which are promising to be discovered in the future measurements at BESIII, LHCb and BelleII. The SU(3) symmetry in semi-leptonic decays is examined and sources of symmetry breaking are discussed.
I. INTRODUCTIONQuite recently, the LHCb collaboration announced the discovery of the doubly charmed baryon Ξ ++ cc [1]. Undoubtedly this discovery will open a new door to study strong interactions in the presence of a pair of heavy quarks. Accordingly it has triggered great theoretical interests in studying doubly heavy baryons from different aspects [2-21].Inspired by this discovery, we also expect a renaissance in the study of singly bottom or charm baryons. Particularly there are rapid progresses in the study of Λ c decays at BESIII [22][23][24][25][26][27] and some recent studies on Λ b and Λ c decays by LHCb can be found in Refs. [28][29][30][31][32][33]. It is anticipated that many more decay modes will be established in future. Thus an up-to-date theoretical analysis is highly demanded, and this work aims to do so. Quark model is a very successful tool in classifying mesons and baryons. A heavy baryon is composed of one heavy quark c/b and two light quarks. Light flavor SU(3) symmetry arranges the singly heavy baryons into the presentations 3 ⊗ 3 = 6 ⊕ 3, as can be seen from Fig. 1. For charmed baryons, the irreducible representation 3 is composed of Λ + c and Ξ +,0 c while the sextet is composed of Σ ++,+,0 c , Ξ ′+,′0 cand Ω 0 c . They all have spin 1/2, but only 4 of them weakly decay predominantly: Λ + c and Ξ +,0 c in the representation 3 and Ω 0 c in the representation 6. Others can decays into the lowest-lying states via strong or electromagnetic interactions. This is similar for bottomed baryons. In this work, we will focus on weak decays of singly heavy baryons and more explicitly we will consider only the following channels:• charm sector:c (cds) → Σ − (dds)/Ξ − (sds), Ω 0 c (css) → Ξ − (dss); • bottom sector: Λ 0 b (bud) → p(uud)/Λ + c (cud), Ξ 0 b (bus) → Σ + (uus)/Ξ + c (cus), Ξ − b (bds) → Σ 0 (uds)/Λ(uds)/Ξ 0 c (cds), Ω − b (bss) → Ξ 0 (uss)/Ω 0 c (css).