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T
c
s
0
(
2900
)
T_{cs0}(2900)
T
cs
0
β
(
2900
)
and
T
c
s
Λ
0
a
(
2900
)
T_{c\bar{s}0}^a(2900)
T
c
s
Λ
0
a
β
(
2900
)
as the charmed strange partners of
T
c
c
(
3875
)
T_{cc}(3875)
T
cc
β
(
3875
)
and
Z
c
(
3900
)
Z_c(3900)
Z
c
β
(
3900
)
and the prediction of more members
Authors
Kan Chen
Lu Meng
Bo Wang
Shi-Lin Zhu
Publication date
5 September 2023
Publisher
View
on
arXiv
Abstract
We relate the interactions of the
D
Λ
(
β
)
K
β
\bar{D}^{(\ast)} K^\ast
D
Λ
(
β
)
K
β
and
D
(
β
)
K
β
D^{(\ast)} K^\ast
D
(
β
)
K
β
systems to those of
D
(
β
)
D
(
β
)
D^{(\ast)}D^{(\ast)}
D
(
β
)
D
(
β
)
and
D
(
β
)
D
Λ
(
β
)
D^{(\ast)}\bar{D}^{(\ast)}
D
(
β
)
D
Λ
(
β
)
respectively, considering the residual strong interactions at the near-threshold energy is too weak to excite the strange quarks inside the hadrons. We propose an effective model to describe the low-energy S-wave interactions that are undertaken by the light
u
u
u
,
d
d
d
quarks between two separated heavy hadrons. We find that the existence of molecules in the heavy-(anti)heavy sectors will naturally lead to the emergence of molecular states in
D
Λ
(
β
)
K
β
\bar{D}^{(\ast)} K^\ast
D
Λ
(
β
)
K
β
and
D
(
β
)
K
β
D^{(\ast)} K^\ast
D
(
β
)
K
β
systems. The recently observed
T
c
s
0
(
2900
)
T_{cs0}(2900)
T
cs
0
β
(
2900
)
and
T
c
s
Λ
0
a
(
2900
)
T_{c\bar{s}0}^a(2900)
T
c
s
Λ
0
a
β
(
2900
)
can be well identified as the
0
(
0
+
)
0(0^+)
0
(
0
+
)
and
1
(
0
+
)
1(0^+)
1
(
0
+
)
partners of
T
c
c
(
3875
)
T_{cc}(3875)
T
cc
β
(
3875
)
and
Z
c
(
3900
)
Z_c(3900)
Z
c
β
(
3900
)
in the charmed strange sector, respectively. We also predict their members under the {\it heavy} (
c
c
c
and
s
s
s
) quark symmetry and SU(2) flavor symmetry. Most of them are very good molecule candidates, for example, (i) the
0
(
1
+
)
0(1^+)
0
(
1
+
)
states in
D
β
D
β
D^\ast D^\ast
D
β
D
β
,
D
Λ
K
β
\bar{D}K^\ast
D
Λ
K
β
,
D
Λ
β
K
β
\bar{D}^\ast K^\ast
D
Λ
β
K
β
; (ii) the
0
(
+
)
(
2
+
(
+
)
)
0^{(+)}(2^{+(+)})
0
(
+
)
(
2
+
(
+
)
)
states in
D
β
D
Λ
β
D^\ast \bar{D}^\ast
D
β
D
Λ
β
,
D
Λ
β
K
β
\bar{D}^\ast K^\ast
D
Λ
β
K
β
,
D
β
K
β
D^\ast K^\ast
D
β
K
β
; (iii) the
1
β
(
0
+
+
)
1^-(0^{++})
1
β
(
0
++
)
state in
D
β
D
Λ
β
D^\ast\bar{D}^\ast
D
β
D
Λ
β
and
1
(
1
+
)
1(1^+)
1
(
1
+
)
state in
D
β
K
β
D^\ast K^\ast
D
β
K
β
. The
0
+
(
0
+
+
)
0^+(0^{++})
0
+
(
0
++
)
state in
D
D
Λ
D\bar{D}
D
D
Λ
and the
0
(
1
+
)
0(1^+)
0
(
1
+
)
state in
D
K
β
DK^\ast
D
K
β
might also exist as virtual states, and the
0
(
1
+
)
0(1^+)
0
(
1
+
)
D
K
β
DK^\ast
D
K
β
can serve as a key to infer the existence of
0
+
(
0
+
+
)
0^+(0^{++})
0
+
(
0
++
)
D
D
Λ
D\bar{D}
D
D
Λ
. The
D
s
Ο
D_s\pi
D
s
β
Ο
invariant mass spectrum of
T
c
s
Λ
0
a
(
2900
)
T_{c\bar{s}0}^a(2900)
T
c
s
Λ
0
a
β
(
2900
)
is also studied within the coupled-channel approach, and the molecular interpretation of
T
c
s
Λ
0
a
(
2900
)
T_{c\bar{s}0}^a(2900)
T
c
s
Λ
0
a
β
(
2900
)
is consistent with the experimental data. Searching for the predicted states in experiments is crucial to discriminate the different pictures for interpreting these near-threshold exotica.Comment: 12 pages, 6 figs, and 4 table
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oai:arXiv.org:2309.02191
Last time updated on 12/09/2023