AbstractMore than ten $$\Omega _c^0$$
Ω
c
0
weak decay modes have been measured with the branching fractions relative to that of $$\Omega ^0_c\rightarrow \Omega ^-\pi ^+$$
Ω
c
0
→
Ω
-
π
+
. In order to extract the absolute branching fractions, the study of $$\Omega ^0_c\rightarrow \Omega ^-\pi ^+$$
Ω
c
0
→
Ω
-
π
+
is needed. In this work, we predict $${{\mathcal {B}}}_\pi \equiv {{\mathcal {B}}}(\Omega _c^0\rightarrow \Omega ^-\pi ^+)=(5.1\pm 0.7)\times 10^{-3}$$
B
π
≡
B
(
Ω
c
0
→
Ω
-
π
+
)
=
(
5.1
±
0.7
)
×
10
-
3
with the $$\Omega _c^0\rightarrow \Omega ^-$$
Ω
c
0
→
Ω
-
transition form factors calculated in the light-front quark model. We also predict $${{\mathcal {B}}}_\rho \equiv {{\mathcal {B}}}(\Omega _c^0\rightarrow \Omega ^-\rho ^+)=(14.4\pm 0.4)\times 10^{-3}$$
B
ρ
≡
B
(
Ω
c
0
→
Ω
-
ρ
+
)
=
(
14.4
±
0.4
)
×
10
-
3
and $${{\mathcal {B}}}_e\equiv {{\mathcal {B}}}(\Omega _c^0\rightarrow \Omega ^-e^+\nu _e)=(5.4\pm 0.2)\times 10^{-3}$$
B
e
≡
B
(
Ω
c
0
→
Ω
-
e
+
ν
e
)
=
(
5.4
±
0.2
)
×
10
-
3
. The previous values for $${{\mathcal {B}}}_\rho /{{\mathcal {B}}}_\pi $$
B
ρ
/
B
π
have been found to deviate from the most recent observation. Nonetheless, our $${{\mathcal {B}}}_\rho /{{\mathcal {B}}}_\pi =2.8\pm 0.4$$
B
ρ
/
B
π
=
2.8
±
0.4
is able to alleviate the deviation. Moreover, we obtain $${{\mathcal {B}}}_e/{{\mathcal {B}}}_\pi =1.1\pm 0.2$$
B
e
/
B
π
=
1.1
±
0.2
, which is consistent with the current data.
Frame dependence of transition form factors in light-front dynamics
