407 research outputs found
Leading Chiral Logarithms for Pion Form Factors to Arbitrary Number of Loops
We develop the method of calculation of the leading chiral (infrared)
logarithms to an arbitrary loop order for various form factors of
Nambu-Goldstone bosons. The method is illustrated on example of scalar and
vector form factors in massless 4D O(N+1)/O(N) sigma-model. The analytical
properties of the form factors are derived. The leading chiral (infrared)
logarithms are summed up in the large N limit.Comment: 5 page
Soft spectator scattering in the nucleon form factors at large within the SCET approach
The proton form factors at large momentum transfer are dominated by two
contributions which are associated with the hard and soft rescattering
respectively. Motivated by a very active experimental form factor program at
intermediate values of momentum transfers, ,
where an understanding in terms of only a hard rescattering mechanism cannot
yet be expected, we investigate in this work the soft rescattering contribution
using soft collinear effective theory (SCET). Within such description, the form
factor is characterized, besides the hard scale , by a semi-hard scale , which arises due to presence of soft spectators, with virtuality
( GeV), such that . We show that in this case a two-step factorization can be
successfully carried out using the SCET approach. In a first step (SCET),
we perform the leading order matching of the QCD electromagnetic current onto
the relevant SCET operators and perform a resummation of large logarithms
using renormalization group equations. We then discuss the further matching
onto a SCET framework, and propose the complete factorization formula
for the Dirac form factor, accounting for both hard and soft contributions. We
also present a qualitative discussion of the phenomenological consequences of
this new framework.Comment: 33 pages, 19 figures; typos corrected, text improved. Version to
appear in Phys.Rev.
Hermes and the spin of the proton
HERMES is a second generation experiment to study the spin structure of the
nucleon, in which measurements of the spin dependent properties of
semi-inclusive deep-inelastic lepton scattering are emphasized. Data have been
accumulated for semi-inclusive pion, kaon, and proton double-spin asymmetries,
as well as for high-p_T hadron pairs, and single-spin azimuthal asymmetries for
pion electroproduction and deep virtual Compton scattering. These results
provide information on the flavor decomposition of the polarized quark
distributions in the nucleon and a first glimpse of the gluon polarization,
while the observation of the azimuthal asymmetries show promise for probing the
tensor spin of the nucleon and isolating the total angular momentum carried by
the quarks.Comment: LaTeX, 21 page
The Ni(n,) cross section measured with DANCE
The neutron capture cross section of the s-process branch nucleus Ni
affects the abundances of other nuclei in its region, especially Cu and
Zn. In order to determine the energy dependent neutron capture cross
section in the astrophysical energy region, an experiment at the Los Alamos
National Laboratory has been performed using the calorimetric 4 BaF
array DANCE. The (n,) cross section of Ni has been determined
relative to the well known Au standard with uncertainties below 15%.
Various Ni resonances have been identified based on the Q-value.
Furthermore, the s-process sensitivity of the new values was analyzed with the
new network calculation tool NETZ.Comment: 11 pages, 13 page
Twist-3 contribution to the amplitude in the Wandzura-Wilczek approximation
We have calculated the Wandzura-Wilczek contribution to the twist-3 part of
amplitude. It describes interaction of the
longitudinally polarized virtual photon with the real one, and it is suppressed
by 1/Q, where is the virtuality of the , as compared to the
twist-2 contribution. We have found that, in the Wandzura-Wilczek
approximation, factorization applies to the twist-3 amplitude.Comment: 13 pages, 4 figure
DVCS-Dissociation of the Deuteron and the EMC Effect
The break-up of the deuteron during deeply-virtual Compton scattering, gamma*
d --> gamma(*) n p, is explored. In the effective field theory describing
nucleon dynamics at momenta below the pion mass, the EMC effect results from
four-nucleon interactions with the twist-2 operators, appropriate for
describing forward, and near-forward, matrix elements in the two-nucleon
system. We point out that the break-up of the deuteron to low-energy final
states during deeply-virtual Compton scattering is a process with which to
explore strong-interaction physics closely related to that responsible for the
EMC effect. The single-nucleon contribution to the break-up depends on the
moments of the spin-dependent structure functions and contributions from local
four-nucleon operators. Experimental deviations from the single-nucleon
prediction would provide a probe of strong interactions complimentary to the
EMC effect.Comment: 10 pages LaTeX, 2 eps figure
The dual parametrization for gluon GPDs
We consider the application of the dual parametrization for the case of gluon
GPDs in the nucleon. This provides opportunities for the more flexible modeling
unpolarized gluon GPDs in a nucleon which in particular contain the invaluable
information on the fraction of nucleon spin carried by gluons. We perform the
generalization of Abel transform tomography approach for the case of gluons. We
also discuss the skewness effect in the framework of the dual parametrization.
We strongly suggest to employ the fitting strategies based on the dual
parametrization to extract the information on GPDs from the experimental data.Comment: 37 pages, 2 figure
Angular distributions in hard exclusive production of pion pairs
Using the leading order amplitudes of hard exclusive electroproduction of
pion pairs we have analyzed the angular distribution of the two produced
particles. At leading twist a pion pair can be produced only in an isovector or
an isoscalar state. We show that certain components of the angular distribution
only get contributions from the interference of the I=1 and the (much smaller)
I=0 amplitude. Therefore our predictions prove to be a good probe of isospin
zero pion pair production. We predict effects of a measurable size that could
be observed at experiments like HERMES. We also discuss how hard exclusive pion
pair production can provide us with new information on the effective chiral
Lagrangian.Comment: 17 pages, version to appear in Phys. Rev.
Critical behavior of weakly-disordered anisotropic systems in two dimensions
The critical behavior of two-dimensional (2D) anisotropic systems with weak
quenched disorder described by the so-called generalized Ashkin-Teller model
(GATM) is studied. In the critical region this model is shown to be described
by a multifermion field theory similar to the Gross-Neveu model with a few
independent quartic coupling constants. Renormalization group calculations are
used to obtain the temperature dependence near the critical point of some
thermodynamic quantities and the large distance behavior of the two-spin
correlation function. The equation of state at criticality is also obtained in
this framework. We find that random models described by the GATM belong to the
same universality class as that of the two-dimensional Ising model. The
critical exponent of the correlation length for the 3- and 4-state
random-bond Potts models is also calculated in a 3-loop approximation. We show
that this exponent is given by an apparently convergent series in
(with the central charge of the Potts model) and
that the numerical values of are very close to that of the 2D Ising
model. This work therefore supports the conjecture (valid only approximately
for the 3- and 4-state Potts models) of a superuniversality for the 2D
disordered models with discrete symmetries.Comment: REVTeX, 24 pages, to appear in Phys.Rev.
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