AbstractThe weak decay process of $$\varOmega _c$$
Ω
c
to $$\varXi $$
Ξ
is calculated in the method of QCD light-cone sum rule. The decay width of $$\varOmega _c^0 \rightarrow \varXi ^- l^+ \nu _l$$
Ω
c
0
→
Ξ
-
l
+
ν
l
and its decay branching ratio are also calculated with the form factors from this work’s calculation. To the twist-6 distribution amplitudes, the form factors $$f_1=0.66\pm 0.02, f_2=-0.76\pm 0.03, g_1=0.06\pm 0.01$$
f
1
=
0.66
±
0.02
,
f
2
=
-
0.76
±
0.03
,
g
1
=
0.06
±
0.01
and $$g_2=-0.44\pm 0.01$$
g
2
=
-
0.44
±
0.01
are given at zero recoil point. The result of the semileptonic decay width of $$\varOmega _c^0 \rightarrow \varXi ^-l^+\nu _l$$
Ω
c
0
→
Ξ
-
l
+
ν
l
is $$\varGamma =(7.51\pm 0.36)\times 10^{-15}~\mathrm{{GeV}}$$
Γ
=
(
7.51
±
0.36
)
×
10
-
15
GeV
, and the prediction of the decay branching ratio $$Br(\varOmega _c^0\rightarrow \varXi ^-l^+\nu _l)=(3.06\pm 0.15)\times 10^{-3}$$
B
r
(
Ω
c
0
→
Ξ
-
l
+
ν
l
)
=
(
3.06
±
0.15
)
×
10
-
3
. These results fit well with other works, and the decay width and branching ratio are improved. This not too small branching ratio gives a good direction to explore this decay channel in the future experiments.
Light-Cone Sum Rule Approach for Baryon Form Factors