Recent Results on Deeply Virtual Compton Scattering at HERMES
H. Marukyan
a ∗
(for the HERMES Collaboration)
a
Yerevan Physics Institute, Alikhanian Brothers str. 2, Yerevan, Armenia
HERMES has measured azimuthal asymmetries in the hard electroproduction of real photons, the so-called
Deeply Virtual Compton Scattering (DVCS) process, using 27.6 GeV HERA positron and electron beams and
various polarized and unpolarized gaseous targets. New results have recently been obtained for the t, x and
Q
2
dependencies of the transverse target-spin asymmetry (TTSA) from data accumulated in 2002-2004 with the
positron beam and a transversely polarized hydrogen target. A model-dependent constraint on the total angular
momentum carried by u- and d-quarks, Ju and J
d
, is obtained by comparing the extracted TTSA amplitude with
theoretical predictions based on a certain GPD model.
1. Introduction
An essential task in QCD is to understand the
hadron structure at the level of quarks and glu-
ons. Particularly, the contributions of these basic
constituents to the nucleon’s spin both via their
intrinsic spin and their orbital motion is of great
interest.
Recent interest in hard exclusive processes has
resulted from the theoretical description of these
processes in terms of the Generalized Parton Dis-
tribution (GPD) formalism [1–3]. This formal-
ism offers a consistent description of the nucleon
structure. It incorporates as limiting cases the
well-known nucleon form factors determined from
elastic scattering as well as parton momentum
distributions (PDFs) determined from measure-
ments of inclusive and semi-inclusive deep inelas-
tic lepton-nucleon scattering (DIS). Interest in
the GPD framework has also been motivated by
the fact that the unknown total angular momenta
of quarks and gluons within the nucleon are en-
coded in the GPDs [4]. The latter allows in prin-
ciple access to the orbital angular momentum of
quarks using the knowledge of their intrinsic spin
contribution to the nucleon’s spin.
One of the theoretically cleanest processes with
which to probe GPDs is Deeply-Virtual Comp-
∗
We gratefully acknowledge the DESY managment for its
support, the staff at DESY and the collaborating institu-
tions for their significant effort, and our national funding
agencies and the EU RII3-CT-2004-506078 programme for
financial support.
ton Scattering (DVCS), in which a highly virtual
photon is absorbed by a parton within the target,
which produces a single real photon in the final
state, along with the recoiling nucleon being in
its ground state.
2. DVCS at HERMES
The DVCS process is experimentally indistin-
guishable from the Bethe-Heitler (BH) process, in
which a real photon is radiated by the incoming
or outgoing lepton rather than the quark. The
cross section for the leptoproduction of real pho-
tons is therefore given by the coherent sum of the
BH and DVCS amplitudes squared:
dσ ∝|τ
BH
|
2
+|τ
DV CS
|
2
+τ
∗
BH
τ
DV CS
+τ
∗
DV CS
τ
BH
(1)
At HERMES kinematics the BH process dom-
inates over DVCS in the cross section. How-
ever, the DVCS amplitude can be studied via
the interference term by measuring various cross
section asymmetries and their dependences on
the azimuthal angle φ, defined as the angle be-
tween the lepton scattering plane and the pho-
ton production plane. The interference term
τ
∗
BH
τ
DV CS
+ τ
∗
DV CS
τ
BH
(I ) can be written in a
series of Fourier moments in φ [5]
I ∝±
c
I
0
+
3
n=1
c
I
n
cos(nφ)+
3
n=1
s
I
n
sin(nφ)
,(2)
where sign +(-) stands for the electron(positron)
beam, c
I
0
, c
I
n
and s
I
n
are given by a linear combina-
Nuclear Physics B (Proc. Suppl.) 174 (2007) 19–22
0920-5632/$ – see front matter © 2007 Elsevier B.V. All rights reserved.
www.elsevierphysics.com
doi:10.1016/j.nuclphysbps.2007.08.078