575 research outputs found
Nuclear dependence of azimuthal asymmetry in semi-inclusive deep inelastic scattering
Within the framework of a generalized factorization, semi-inclusive deeply
inelastic scattering (SIDIS) cross sections can be expressed as a series of
products of collinear hard parts and transverse-momentum-dependent (TMD) parton
distributions and correlations. The azimuthal asymmetry $ is studied. It is shown that the azimuthal
asymmetry is suppressed by multiple parton scattering and the transverse
momentum dependence of the suppression depends on the relative shape of the
twist-2 and 3 quark distributions in the nucleon. A Gaussian ansatz for TMD
twist-2 and 3 quark distributions in nucleon is used to demonstrate the nuclear
dependence of the azimuthal asymmetry and to estimate the smearing effect due
to fragmentation.Comment: 9 pages in RevTex with 2 figure
Twist-4 contributions to the azimuthal asymmetry in SIDIS
We calculate the differential cross section for the unpolarized
semi-inclusive deeply inelastic scattering (SIDIS) process
in leading order (LO) of perturbative QCD and up to twist-4 in power
corrections and study in particular the azimuthal asymmetry . The
final results are expressed in terms of transverse momentum dependent (TMD)
parton matrix elements of the target nucleon up to twist-4. %Under the maximal
two-gluon correlation approximation, these TMD parton matrix elements in a
nucleus %can be expressed terms of a Gaussian convolution of that in a nucleon
with the width given by the jet transport %parameter inside cold nuclei. We
also apply it to $e^-+A \to e^-+q+X$ and illustrate numerically the nuclear
dependence of the azimuthal asymmetry by using a Gaussian ansatz
for the TMD parton matrix elements.Comment: 9 pages, afigur
Constraints and Soliton Solutions for the KdV Hierarchy and AKNS Hierarchy
It is well-known that the finite-gap solutions of the KdV equation can be
generated by its recursion operator.We generalize the result to a special form
of Lax pair, from which a method to constrain the integrable system to a
lower-dimensional or fewer variable integrable system is proposed. A direct
result is that the -soliton solutions of the KdV hierarchy can be completely
depicted by a series of ordinary differential equations (ODEs), which may be
gotten by a simple but unfamiliar Lax pair. Furthermore the AKNS hierarchy is
constrained to a series of univariate integrable hierarchies. The key is a
special form of Lax pair for the AKNS hierarchy. It is proved that under the
constraints all equations of the AKNS hierarchy are linearizable.Comment: 12 pages, 0 figur
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