https://doi.org/10.1140/epja/i2013-13078-7
Regular Article - Theoretical Physics
Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the
transition form factors
1
Department of Physics, Chongqing University, 401331, Chongqing, P.R. China
2
Institute of High Energy Physics, Chinese Academy of Sciences, 100049, Beijing, P.R. China
* e-mail: wuxg@cqu.edu.cn
Received:
20
April
2013
Accepted:
4
June
2013
Published online:
26
June
2013
We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons a0, and f0 within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background field approach. Adopting the valence quark component
as the dominant structure of the scalar mesons, our estimation for their masses is close to the measured
,
and
. From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs
:
and
; those of the twist-3 LCDAs
:
and
; and those of the twist-3 LCDAs
:
and
, respectively. As an application of those twist-3 LCDAs, we study the
transition form factors by introducing proper chiral currents into the correlator, which is constructed such that the twist-3 LCDAs give dominant contribution and the twist-2 LCDAs make negligible contribution. Our results of the
transition form factors at the large recoil region
are consistent with those obtained in the literature, which inversely shows the present twist-3 LCDAs are acceptable.
© SIF, Springer-Verlag Berlin Heidelberg, 2013