AbstractIn 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.
Pseudoscalar meson and charmed baryon scattering lengths
