# Electromagnetic response of confined Dirac particles

@article{Paris2003ElectromagneticRO, title={Electromagnetic response of confined Dirac particles}, author={Mark Wayne Paris}, journal={Physical Review C}, year={2003}, volume={68}, pages={025201} }

The eigenstates of a single massless Dirac particle confined in a linear potential are calculated exactly by direct solution of the Dirac equation. The electromagnetic structure functions are calculated from the Dirac wave functions of the ground and excited states of the particle by coupling to its conserved vector current. We obtain the longitudinal and transverse structure functions as a function of y=nu-q, where nu and q are the energy and momentum transferred to the target in its rest…

## 9 Citations

Spin asymmetries for confined Dirac particles

- Physics
- 2003

We study the Bjorken x (or equivalently Nachtmann ξ) dependence of the virtual photon spin asymmetry in polarized deep inelastic scattering of electrons from hadrons. We use an exactly solved…

Virtual photon asymmetry for confined, interacting Dirac particles with spin symmetry

- Physics
- 2005

Departement fu¨r Physik und Astronomie, Universit¨at Basel, Switzerland(Dated: February 4, 2008)We study the Bjorken x dependence of the virtual photon spin asymmetry in polarized deepinelastic…

Scaling of Dirac fermions and the WKB approximation

- Physics
- 2005

We discuss a new method for obtaining the WKB approximation to the Dirac equation with a scalar potential and a timelike vector potential. We use the WKB solutions to investigate the scaling behavior…

Solving the radial Dirac equations: a numerical odyssey

- Physics
- 2011

We discuss, in a pedagogical way, how to solve for relativistic wavefunctions from the radial Dirac equations. We first solve the equations for a linear Lorentz scalar potential, Vs(r), that provides…

Spin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles

- Physics
- 2007

We show that the conditions which originate the spin and pseudospin symmetries in the Dirac equation are the same that produce equivalent energy spectra of relativistic spin-1/2 and spin-0 particles…

Modeling quark-hadron duality in polarization observables

- Physics
- 2005

We apply a model for the study of quark-hadron duality in inclusive electron scattering to the calculation of spin observables. The model is based on solving the Dirac equation numerically for a…

An analysis of quark-hadron dualities in proton spin structure functions

- Physics
- 2006

Bloom-Gilman quark-hadron dualities of proton spin structure functions g(1), g(2) and g(T), in inelastic resonance region, are analyzed. The contribution of the nucleon elastic peak to the local…

Target mass corrections to proton spin structure functions and quark–hadron duality

- Physics
- 2006

Target mass corrections to proton spin structure functions in deep inelastic scattering region are analysed. Moreover, Bloom-Gilman quark-hadron dualities of proton spin structure functions g(1) and…

Local quark hadron duality of nucleon spin structure functions with target mass corrections

- Physics
- 2007

Abstract Target mass corrections to nucleon spin structure functions are analyzed. Our results show that the corrections are important to the structure functions in a large x region. Moreover, they…

## References

SHOWING 1-10 OF 14 REFERENCES

Final state interaction contribution to the response of confined relativistic particles

- Physics
- 2002

We report studies of the response of a massless particle confined by a potential. At large momentum transfer q it exhibits \tilde{y} or equivalently Nachtmann \xi scaling, and acquires a constant…

Scaling of space and timelike response of confined relativistic particles

- Physics
- 2001

Abstract The response of a relativistic particle bound in a linear confining well is calculated as a function of the momentum and energy transfer, q , ν. At large values of | q | the response…

SCALING, DUALITY, AND THE BEHAVIOR OF RESONANCES IN INELASTIC ELECTRON-- PROTON SCATTERING.

- Physics
- 1970

We propose that a substantial part of the observed behavior of inelastic electron-proton scattering is due to a nondiffractive component of virtual photon-proton scattering. The behavior of resonance…

Deep inelastic scattering and final state interaction in an exactly solvable relativistic model

- Physics
- 1998

In the theory of deep inelastic scattering (DIS) the final state interaction (FSI) between the struck quark and the remnants of the target is usually assumed to be negligible in the Bjorken limit.…

Structure functions are not parton probabilities

- Physics
- 2002

The common view that structure functions measured in deep inelastic lepton scattering are determined by the probability of finding quarks and gluons in the target is not correct in gauge theory. We…

FINAL-STATE INTERACTIONS AND SINGLE-SPIN ASYMMETRIES IN SEMI-INCLUSIVE DEEP INELASTIC SCATTERING

- Physics
- 2003

Recent measurements from the HERMES and SMC collaborations show a remarkably large azimuthal single-spin asymmetries AUL and AUT of the proton in semi-inclusive pion leptoproduction γ*(q) p → π X. We…

Quark-hadron duality in a relativistic, confining model

- Physics
- 2002

Quark-hadron duality is an interesting and potentially very useful phenomenon, as it relates the properly averaged hadronic data to a perturbative QCD result in some kinematic regimes. While duality…

Uncertainties of predictions from parton distributions I: Experimental errors

- Physics
- 2003

Abstract. We determine the uncertainties on observables arising from the errors on the experimental data that are fitted in the global MRST2001 parton analysis. By diagonalizing the error matrix we…

Many-body theory interpretation of deep inelastic scattering

- Physics
- 2000

Abstract We analyze data on deep inelastic scattering of electrons from the proton using ideas from standard many-body theory involving bound constituents subject to interactions . This leads us to…

Evidence for valencelike quark-hadron duality

- Physics, MedicinePhysical review letters
- 2000

The inclusion of low-momentum transfer data yields a scaling curve resembling deep inelastic neutrino-nucleus scattering data, suggesting a sensitivity to valencelike structure only.