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B
Λ
0
β
K
Λ
(
β
)
β
0
X
\bar B^0 \to \bar K^{(*) \,0} X
B
Λ
0
β
K
Λ
(
β
)
0
X
,
B
β
β
K
(
β
)
β
β
X
B^- \to K^{(*) \, -} X
B
β
β
K
(
β
)
β
X
,
B
Λ
s
0
β
Ξ·
(
Ξ·
β²
,
Ο
)
X
\bar B_s^0 \to \eta (\eta', \phi) X
B
Λ
s
0
β
β
Ξ·
(
Ξ·
β²
,
Ο
)
X
from the
X
(
3872
)
X(3872)
X
(
3872
)
molecular perspective
Authors
Ting Ban
Wei-Hong Liang
Eulogio Oset
Publication date
6 October 2023
Publisher
View
on
arXiv
Abstract
We study the decays
B
Λ
0
β
K
Λ
0
β
X
\bar B^0 \to \bar K^0 \, X
B
Λ
0
β
K
Λ
0
X
,
B
β
β
K
β
β
X
B^- \to K^- \, X
B
β
β
K
β
X
,
B
Λ
s
0
β
Ξ·
(
Ξ·
β²
)
β
X
\bar B^0_s \to \eta (\eta')\, X
B
Λ
s
0
β
β
Ξ·
(
Ξ·
β²
)
X
,
B
Λ
0
β
K
Λ
β
0
β
X
\bar B^0 \to \bar K^{*0} \, X
B
Λ
0
β
K
Λ
β
0
X
,
B
β
β
K
β
β
β
X
B^- \to K^{*-} \, X
B
β
β
K
ββ
X
,
B
Λ
s
0
β
Ο
β
X
\bar B_s^0 \to \phi \, X
B
Λ
s
0
β
β
Ο
X
, with
X
β‘
X
(
3872
)
X \equiv X(3872)
X
β‘
X
(
3872
)
, from the perspective of the
X
(
3872
)
X(3872)
X
(
3872
)
being a molecular state made from the interaction of the
D
β
+
D
β
,
D
β
0
D
Λ
0
D^{*+} D^-, D^{*0} \bar D^0
D
β+
D
β
,
D
β
0
D
Λ
0
and
c
.
c
.
c.c.
c
.
c
.
components. We consider both the external and internal emission decay mechanisms and find an explanation for the
K
Λ
0
β
X
\bar K^0 \, X
K
Λ
0
X
and
K
β
β
X
K^- \, X
K
β
X
production rates, based on the mass difference of the charged and neutral
D
β
D
Λ
D^* \bar D
D
β
D
Λ
components. We also find that the internal and external emission mechanisms add constructively in the
B
Λ
0
β
K
Λ
0
β
X
\bar B^0 \to \bar K^0 \, X
B
Λ
0
β
K
Λ
0
X
,
B
β
β
K
β
β
X
B^- \to K^- \, X
B
β
β
K
β
X
reactions, while they add destructively in the case of
B
Λ
0
β
K
Λ
β
0
β
X
\bar B^0 \to \bar K^{*0} \, X
B
Λ
0
β
K
Λ
β
0
X
,
B
β
β
K
β
β
β
X
B^- \to K^{*-} \, X
B
β
β
K
ββ
X
reactions. This feature explains the decay widths of the present measurements and allows us to make predictions for the unmeasured modes of
B
Λ
s
0
β
Ξ·
(
Ξ·
β²
)
β
X
(
3872
)
\bar B^0_s \to \eta (\eta')\, X(3872)
B
Λ
s
0
β
β
Ξ·
(
Ξ·
β²
)
X
(
3872
)
and
B
β
β
K
β
β
β
X
(
3872
)
B^- \to K^{*-} \, X(3872)
B
β
β
K
ββ
X
(
3872
)
. The future measurement of these decay modes will help us get a better perspective on the nature of the
X
(
3872
)
X(3872)
X
(
3872
)
and the mechanisms present in production reactions of that state.Comment: 15 pages, 5 figures, 2 table
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oai:arXiv.org:2310.04087
Last time updated on 14/12/2023