Two-body charmed baryon decays involving decuplet baryon in the quark-diagram scheme

In the quark-diagram scheme, we study the charmed baryon decays of $$\mathbf{B}_c\rightarrow \mathbf{B}^* M$$ B c → B ∗ M , where $$\mathbf{B}_c$$ B c is $$\Lambda _c^+$$ Λ c + or $$\Xi _c^{+(0)}$$ Ξ c + ( 0 ) , together with $$\mathbf{B}^*$$ B ∗ (M) the decuplet baryon (pseudoscalar meson). It is found that only two W-exchange processes are allowed to contribute to $$\mathbf{B}_c\rightarrow \mathbf{B}^* M$$ B c → B ∗ M . Particularly, we predict $${\mathcal {B}}(\Lambda _c^+ \rightarrow \Sigma ^{*0(+)} \pi ^{+(0)})=(2.8\pm 0.4)\times 10^{-3}$$ B ( Λ c + → Σ ∗ 0 ( + ) π + ( 0 ) ) = ( 2.8 ± 0.4 ) × 10 - 3 , which respects the isospin symmetry. Besides, we take into account the SU(3) flavor symmetry breaking, in order to explain the observation of $${\mathcal {B}}(\Lambda _c^+\rightarrow \Sigma ^{*+}\eta )$$ B ( Λ c + → Σ ∗ + η ) . For the decays involving $$\Delta ^{++}(uuu)$$ Δ + + ( u u u ) , we predict $${\mathcal {B}}(\Lambda _c^+\rightarrow \Delta ^{++} \pi ^-,\Xi _c^+ \rightarrow \Delta ^{++} K^-) =(7.0\pm 1.4,13.5\pm 2.7)\times 10^{-4}$$ B ( Λ c + → Δ + + π - , Ξ c + → Δ + + K - ) = ( 7.0 ± 1.4 , 13.5 ± 2.7 ) × 10 - 4 as the largest branching fractions in the singly Cabibbo-suppressed $$\Lambda _c^+,\Xi _c^+\rightarrow \mathbf{B}^*M$$ Λ c + , Ξ c + → B ∗ M decay channels, respectively, which are accessible to the LHCb, BELLEII and BESIII experiments.

MOMENTUM-SPACE FADDEEV CALCULATIONS FOR GROUND-STATE TRIPLY AND DOUBLY HEAVY BARYONS IN THE CONSTITUENT QUARK MODEL

In the framework of constituent quark model, mass spectra of the ground-state baryons consisting of three or two heavy (b or c) and one light (u, d or s) quarks are calculated by solving three-body Faddeev equations. The results imply that, it is possible to obtain a unified model to describe heavy baryons spectra, as well as meson and SU(3) octet and decuplet baryon spectra. We find that, when taking into account the relativistic correction quark–diquark approximation and three-body Faddeev approach tend to give similar predictions for heavy–light systems. We also study the spin splitting of JP = (1/2+) and JP = (3/2+).