Generalized counting rule and oscillatory scaling

  title={Generalized counting rule and oscillatory scaling},
  author={D. Dutta and H. Gao},
  journal={Physical Review C},
We have studied the energy dependence of the $pp$ elastic scattering data and the pion-photoproduction data at 90$^\circ$ c.m. angle in light of the new generalized counting rule derived for exclusive processes. We show that by including the helicity flipping amplitudes (with energy dependence given by the generalized counting rule) and their interference with the Landshoff amplitude, we are able to reproduce the energy dependence of all cross-section and spin-correlation (A$_{NN}$) data… 

Figures from this paper

Cross section measurements of charged pion photoproduction in hydrogen and deuterium from 1.1 to 5.5 GeV

The differential cross sections for the gamma n ->pi(-)p and the gamma p ->pi(+)n processes were measured at Jefferson Lab. The photon energies ranged from 1.1 to 5.5 GeV, corresponding to

Pion photoproduction cross section at large momentum transfer

The Real Compton Scattering experiment was performed in all A at the Thomas Jefferson National Accelerator Facility. It was designed to measure, for Compton scattering and π 0 -photoproduction, the

SPIN physics at GSI

Polarized antiprotons produced by spin filtering with an internal polarized gas target provide access to a wealth of single-- and double--spin observables, thereby opening a window to physics

The AdS/QCD Correspondence and Exclusive Processes

The AdS/CFT correspondence between theories in AdS space and conformal field theories in physical space-time provides an analytic, semi-classical, color-confining model for strongly-coupled QCD. The

Transition between nuclear and quark–gluon descriptions of hadrons and light nuclei

A perspective on studies aimed at observing the transition between hadronic and quark-gluonic descriptions of reactions involving light nuclei is provided and the connection to exotic phenomena such as color transparency will be discussed.

AdS/CFT and Exclusive Processes in QCD

The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale

A relativistic eikonal description of nucleon propagation through nuclei

The main focus of my PhD thesis is on exclusive proton-induced A(p,pN) reactions. A relativistic and cross-section factorized framework for computing quasielastic $A(p,pN)$ observables is presented.



Locality of quark-hadron duality and deviations from quark counting rules above the resonance region.

The concept of "restricted locality" of quark-hadron duality is introduced and it is shown how this results in deviations from the perturbative quantum chromodynamics quark counting rules above the resonance region.

Spin effects in large-transverse-momentum exclusive scattering processes

Nucleon-nucleon scattering at large momentum transfer is analyzed within the framework of quantum-chromodynamic quark and gluon interactions. The spin dependence of the hadronic amplitude is found to

Scaling Laws for Large Momentum Transfer Processes

Dimensional scaling laws are developed as an approach to understanding the energy dependence of high-energy scattering processes at fixed center-of-mass angle. Given a reasonable assumption on the

Cross-section measurement of charged-pion photoproduction from hydrogen and deuterium.

The cross section ratio of exclusive pi(-) to pi(+) photoproduction at high energy is consistent with the prediction based on one-hard-gluon-exchange diagrams.

Measurement of the Energy Dependence of Elastic πp and pp Scattering at Large Angles

We have measured ..pi../sup //u +- p and pp elastic differntial cross sections in the range vertical-bar costheta/sub c.m./vertical-bar < 0.35 for incident momenta from 2 to 9.7 GeV/c for ..pi../sup

Oscillatory scaling violations and the quantum chromodynamic Coulomb phase

The exchange of gluons in the initial or final state of hard processes is shown to build a Q/sup 2/-dependent phase shift which may be observed as an oscillatory scaling violation in infrared

Polarization measurements in high-energy deuteron photodisintegration.

It is shown that the scaling behavior observed in the d(gamma,p)n cross sections is not a result of perturbative QCD, and should provide important tests of new nonperturbative calculations in the intermediate energy regime.

Onset of asymptotic scaling in deuteron photodisintegration.

The results show that the scaling has been reached for proton transverse momentum above about 1.1 GeV/c, which may indicate that the quark-gluon regime is reached above this momentum.

Exclusive Processes in Perturbative Quantum Chromodynamics

We present a systematic analysis in perturbative quantum chromodynamics (QCD) of large-momentum-transfer exclusive processes. Predictions are given for the scaling behavior, angular dependence,

QCD form-factors and hadron helicity nonconservation

Recent data for the ratio $R(Q)= QF_{2}(Q^{2})/F_{1}(Q^{2})$ shocked the community by disobeying expectations held for 50 years. We examine the status of perturbative QCD predictions for