Abstract
Abstract
In this paper, we calculate the scalar a
0(980)-meson leading-twist wave function by using the light-cone harmonic oscillator model (LCHO), where the model parameters are determined by fitting the ξ-moments
〈
ξ
a
0
n
〉
ζ
of its light-cone distribution amplitudes. Then, the a
0(980)-meson leading-twist light-cone distribution amplitudes with three different scales ζ = (1.0, 2.0, 5.2)GeV are given. After constructing the relationship between the a
0(980)-meson leading-twist parton distribution functions/valence quark distribution function and its LCHO wave function, we exhibit the
q
a
0
(
x
,
ζ
)
and
xq
a
0
(
x
,
ζ
)
with different scales. Furthermore, we also calculate the Mellin moments of the a
0(980)-meson’s valence quark distribution function
〈
x
n
q
a
0
〉
ζ
with n = (1, 2, 3), i.e.
〈
xq
a
0
〉
ζ
5
=
0.027
,
〈
x
2
q
a
0
〉
ζ
5
=
0.018
and
〈
x
3
q
a
0
〉
ζ
5
=
0.013
. Finally, the scale evolution for the ratio of the Mellin moments
x
a
0
n
(
ζ
,
ζ
k
)
are presented.
Funder
National Natural Science Foundation of China
Subject
Physics and Astronomy (miscellaneous)