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Ds→f0(980) form factors and the Ds+→(f0(980)→)ππSI=0e+νe decay from light-cone sum rules
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Ds→f0(980) form factors and the Ds+→(f0(980)→)ππSI=0e+νe decay from light-cone sum rules
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Journal Article
Ds→f0(980) form factors and the Ds+→(f0(980)→)ππSI=0e+νe decay from light-cone sum rules
2024
Overview
In this paper we revisit
D
s
→
f
0
(
980
)
form factors from the light-cone sum rules based on the
q
¯
q
picture of
f
0
(
980
)
. The main motivation of this study is the decay width of
D
s
+
→
π
π
S
I
=
0
e
+
ν
e
measured recently by BESIII collaboration and the
D
s
→
f
0
(
980
)
form factor extracted under the resonant model, here the subscript
S
and superscript
I
=
0
indicate the
S
-wave isoscalar dipion system. Our result of the differential width of
D
s
+
→
f
0
(
980
)
(
→
π
π
S
I
=
0
)
e
+
ν
e
decay obtained under the narrow width approximation is lower than the data, the result obtained under the resonant Flatté model is consistent with the data, indicating a sizable mixing
∼
20
∘
between
s
¯
s
and
u
¯
u
+
d
¯
d
of
f
0
. In order to get a model independent prediction, we suggest to calculate
D
s
→
π
π
I
=
0
form factors with the isoscalar dipion light-cone distribution amplitudes. Our calculation of
D
s
→
π
π
I
=
0
form factors is carried out at leading twist level due to the finite knowledge of dipion system, the differential width shows a moderate evolution in contrast to that obtained from the narrow width approximation and the Flatté model. Since the
D
s
→
f
0
(
980
)
form factors is dominated by the twist three contribution, further measurements on four-body semileptonic charm decays would help us to study the dimeson light-cone distribution amplitudes, especially for the subleading twist one.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V
