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Three-body molecules
D
Λ
D
Λ
β
Ξ£
c
\bar{D}\bar{D}^{\ast}\Sigma_{c}
D
Λ
D
Λ
β
Ξ£
c
β
- understanding the nature of
T
c
c
T_{cc}
T
cc
β
,
P
c
(
4312
)
P_{c}(4312)
P
c
β
(
4312
)
,
P
c
(
4440
)
P_{c}(4440)
P
c
β
(
4440
)
and
P
c
(
4457
)
P_{c}(4457)
P
c
β
(
4457
)
Authors
Li-Sheng Geng
Ming-Zhu Liu
Ya-Wen Pan
Tian-Wei Wu
Publication date
5 April 2022
Publisher
View
on
arXiv
Abstract
The nature of the three pentaquark states,
P
c
(
4312
)
P_{c}(4312)
P
c
β
(
4312
)
,
P
c
(
4440
)
P_{c}(4440)
P
c
β
(
4440
)
and
P
c
(
4457
)
P_{c}(4457)
P
c
β
(
4457
)
, discovered by the LHCb Collaboration in 2019, is still under debate, although the
D
Λ
(
β
)
Ξ£
c
\bar{D}^{(\ast)}\Sigma_{c}
D
Λ
(
β
)
Ξ£
c
β
molecular interpretation seems to be the most popular. In this work, by adding a
D
Λ
\bar{D}
D
Λ
meson into the
D
Λ
β
Ξ£
c
\bar{D}^{\ast}\Sigma_{c}
D
Λ
β
Ξ£
c
β
pair, we investigate the mass and decay width of the three-body molecules
D
Λ
D
Λ
β
Ξ£
c
\bar{D}\bar{D}^{\ast}\Sigma_{c}
D
Λ
D
Λ
β
Ξ£
c
β
and explore the correlation between the existence of the
D
Λ
D
Λ
β
Ξ£
c
\bar{D}\bar{D}^{\ast}\Sigma_{c}
D
Λ
D
Λ
β
Ξ£
c
β
molecules with the existence of
D
Λ
(
β
)
Ξ£
c
\bar{D}^{(\ast)}\Sigma_{c}
D
Λ
(
β
)
Ξ£
c
β
and
D
Λ
β
D
Λ
\bar{D}^{\ast}\bar{D}
D
Λ
β
D
Λ
two-body molecules. The latter can be identified with the doubly charmed tetraquark state
T
c
c
T_{cc}
T
cc
β
recently discovered by the LHCb Collaboration. Based on the molecular nature of
P
c
(
4312
)
P_{c}(4312)
P
c
β
(
4312
)
,
P
c
(
4440
)
P_{c}(4440)
P
c
β
(
4440
)
,
P
c
(
4457
)
P_{c}(4457)
P
c
β
(
4457
)
, and
T
c
c
T_{cc}
T
cc
β
, our results indicate that there exist two three-body bound states of
D
Λ
D
Λ
β
Ξ£
c
\bar{D}\bar{D}^{\ast}\Sigma_{c}
D
Λ
D
Λ
β
Ξ£
c
β
with
I
(
J
P
)
=
1
(
1
/
2
+
)
I(J^{P})=1(1/2^{+})
I
(
J
P
)
=
1
(
1/
2
+
)
and
I
(
J
P
)
=
1
(
3
/
2
+
)
I(J^{P})=1(3/2^{+})
I
(
J
P
)
=
1
(
3/
2
+
)
, and binding energies
37.24
37.24
37.24
MeV and
29.63
29.63
29.63
MeV below the
D
Λ
D
Λ
β
Ξ£
c
\bar{D}\bar{D}^{\ast}\Sigma_{c}
D
Λ
D
Λ
β
Ξ£
c
β
mass threshold. In addition, we find that the mass splitting of these two three-body molecules are correlated to the mass splitting of
P
c
(
4440
)
P_{c}(4440)
P
c
β
(
4440
)
and
P
c
(
4457
)
P_{c}(4457)
P
c
β
(
4457
)
, which offers a non-trivial way to reveal the molecular nature of these states. The partial widths of two
D
Λ
D
Λ
β
Ξ£
c
\bar{D}\bar{D}^{\ast}\Sigma_{c}
D
Λ
D
Λ
β
Ξ£
c
β
molecules decaying into
J
/
Ο
p
D
Λ
J/\psi p \bar{D}
J
/
Ο
p
D
Λ
and
J
/
Ο
p
D
Λ
β
J/\psi p \bar{D}^{\ast}
J
/
Ο
p
D
Λ
β
are found to be several MeV. We recommend the experimental searches for the
D
Λ
D
Λ
β
Ξ£
c
\bar{D}\bar{D}^{\ast}\Sigma_{c}
D
Λ
D
Λ
β
Ξ£
c
β
molecules in the
J
/
Ο
p
D
Λ
J/\psi p \bar{D}
J
/
Ο
p
D
Λ
and
J
/
Ο
p
D
Λ
β
J/\psi p \bar{D}^{\ast}
J
/
Ο
p
D
Λ
β
invariant mass distributions
Similar works
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oai:arXiv.org:2204.02295
Last time updated on 26/04/2022