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Testing the molecular nature of the $$\Omega (2012)$$ with the $$\psi (3770) \rightarrow \bar{\Omega } \bar{K} \Xi $$ and $$\psi (3770) \rightarrow \bar{\Omega } \bar{K} \Xi ^*(1530) (\bar{\Omega } \bar{K} \pi \Xi )$$ reactions
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Abstract
We report on the reactions
$$\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K} \Xi $$
ψ
(
3770
)
→
Ω
¯
+
K
¯
Ξ
and
$$\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K}\Xi ^*(1530) \;(\Xi ^*(1530)\rightarrow \pi \Xi $$
ψ
(
3770
)
→
Ω
¯
+
K
¯
Ξ
∗
(
1530
)
(
Ξ
∗
(
1530
)
→
π
Ξ
), and calculate the mass distributions
$$\frac{\textrm{d}\Gamma }{\textrm{d}M_\text {inv}(\bar{K}\Xi )}$$
d
Γ
d
M
inv
(
K
¯
Ξ
)
and
$$\frac{\textrm{d}\Gamma }{\textrm{d}M_\text {inv}(\bar{K}\Xi ^*)}$$
d
Γ
d
M
inv
(
K
¯
Ξ
∗
)
, respectively. We obtain clear peaks corresponding to the
$$\Omega (2012)$$
Ω
(
2012
)
. From the decay of
$$\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K}\Xi ^*$$
ψ
(
3770
)
→
Ω
¯
+
K
¯
Ξ
∗
, we also get a second, broader, peak around
$$2035\,\mathrm MeV$$
2035
M
e
V
, which comes from the
$$\Omega (2012)$$
Ω
(
2012
)
decay to
$$\bar{K}\Xi ^*$$
K
¯
Ξ
∗
. This second peak is closely tied to the molecular picture of the
$$\Omega (2012)$$
Ω
(
2012
)
with the
$$\bar{K}\Xi ^*(1530)$$
K
¯
Ξ
∗
(
1530
)
and
$$\eta \Omega $$
η
Ω
components. Its observation would provide a boost to the molecular picture of the
$$\Omega (2012)$$
Ω
(
2012
)
.
Springer Science and Business Media LLC
Title: Testing the molecular nature of the $$\Omega (2012)$$ with the $$\psi (3770) \rightarrow \bar{\Omega } \bar{K} \Xi $$ and $$\psi (3770) \rightarrow \bar{\Omega } \bar{K} \Xi ^*(1530) (\bar{\Omega } \bar{K} \pi \Xi )$$ reactions
Description:
Abstract
We report on the reactions
$$\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K} \Xi $$
ψ
(
3770
)
→
Ω
¯
+
K
¯
Ξ
and
$$\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K}\Xi ^*(1530) \;(\Xi ^*(1530)\rightarrow \pi \Xi $$
ψ
(
3770
)
→
Ω
¯
+
K
¯
Ξ
∗
(
1530
)
(
Ξ
∗
(
1530
)
→
π
Ξ
), and calculate the mass distributions
$$\frac{\textrm{d}\Gamma }{\textrm{d}M_\text {inv}(\bar{K}\Xi )}$$
d
Γ
d
M
inv
(
K
¯
Ξ
)
and
$$\frac{\textrm{d}\Gamma }{\textrm{d}M_\text {inv}(\bar{K}\Xi ^*)}$$
d
Γ
d
M
inv
(
K
¯
Ξ
∗
)
, respectively.
We obtain clear peaks corresponding to the
$$\Omega (2012)$$
Ω
(
2012
)
.
From the decay of
$$\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K}\Xi ^*$$
ψ
(
3770
)
→
Ω
¯
+
K
¯
Ξ
∗
, we also get a second, broader, peak around
$$2035\,\mathrm MeV$$
2035
M
e
V
, which comes from the
$$\Omega (2012)$$
Ω
(
2012
)
decay to
$$\bar{K}\Xi ^*$$
K
¯
Ξ
∗
.
This second peak is closely tied to the molecular picture of the
$$\Omega (2012)$$
Ω
(
2012
)
with the
$$\bar{K}\Xi ^*(1530)$$
K
¯
Ξ
∗
(
1530
)
and
$$\eta \Omega $$
η
Ω
components.
Its observation would provide a boost to the molecular picture of the
$$\Omega (2012)$$
Ω
(
2012
)
.
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