Abstract
An eikonal expansion is used to provide systematic corrections to the eikonal approximation through order 1/k 2, where k is the wave number. Electron wave functions are obtained for the Dirac equation with a Coulomb potential. They are used to investigate distorted-wave matrix elements for quasi-elastic electron scattering from a nucleus. A form of effective-momentum approximation is obtained using trajectory-dependent eikonal phases and focusing factors. Fixing the Coulomb distortion effects at the center of the nucleus, the often-used ema approximation is recovered. Comparisons of these approximations are made with full calculations using the electron eikonal wave functions. The ema results are found to agree well with the full calculations.
Similar content being viewed by others
References
R Altemus et al. Phys. Rev. Lett. 44 965 (1980)
M Deady et al. Phys. Rev. C28 8631 (1983)
A Hotta et al. Phys. Rev. C30 87 (1984)
M Deady et al. Phys. Rev. C33 1897 (1986)
C C Blatchley et al. Phys. Rev. C34 1243 (1986)
S A Dytman et al. Phys. Rev. C38 800 (1986)
K Dow et al. Phys. Rev. Lett. 61 1706 (1988)
T C Yates et al. Phys. Lett. B312 382 (1993)
C Williamson et al. Phys. Rev. C56 3152 (1997)
P Barreau et al. Nucl. Phys. Rev. A402 515 (1983)
Z-E Meziani et al. Phys. Rev. Lett. 52 2130 (1984)
Z-E Meziani et al. Phys. Rev. Lett. 54 1233 (1985)
C Marchand et al. Phys. Lett. B153 29 (1985)
A Zghiche et al. Nucl. Phys. A572 513 (1994)
P Guéye et al. Phys. Rev. C60 044308 (1999)
D T Baran et al. Phys. Rev. Lett. 61 400 (1988)
J P Chen et al. Phys. Rev. Lett. 66 1283 (1991)
Z-E Meziani et al. Phys. Rev. Lett. 69 41 (1992)
Yanhe Jin, D S Onley and L E Wright Phys. Rev. C45 1311, 1333 (1992); ibid 50 168 (1994)
J M Udias. et al. Phys. Rev. C48 (1993)
J M Udiás et al. Phys. Rev. C51 3246 (1995)
M Traini Nucl. Phys. A694 325 (2001)
M Traini S Turck-Chiéze and A Zghiche Phys. Rev. C38 2799 (1988)
D R Yennie, F L Boos (Jr.) and D G Ravenhall Phys. Rev. 137 882 (1965)
R Rosenfeler Ann. Phys. (N Y) 128 188 (1980)
A Aste, K Hencken, J Jourdan, I Sick and D Trautmann Nucl. Phys. Rev. A743 259 (2004)
A Aste and J Jourdan Euro. Phys. Lett. 67 753 (2004)
J Morgenstern and Z-E Meziani Phys. Lett. B515 269 (2001)
O Benhar, D Day and I Sick nucl-ex/0603029
J A Tjon and S J Wallace Phys. Rev. C74 064602 (2006)
D S Saxon and L I Schiff Nuovo Cimento. 6 614 (1957)
R L Sugar and R Blankenbeclar Phys. Rev. 183 1387 (1969)
R J Glauber in Lectures in Theoretical Physics (eds.) W E Brittin et al. (New York: Interscience) (1959)
A Baker Phys. Rev. D6 3462 (1972); ibid 8 1937 (1973)
S J Wallace Ann Phys. (NY) 78, 190 (1973); Phys. Rev. D8 1934 (1973)
S J Wallace and J L Friar Phys. Rev. C29 956 (1984)
S J Wallace and J A Tjon (to be published)
H de Vries, C W de Jager and C de Vries Atomic Data and Nucl. Data Tables 36 495 (1987)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tjon, J.A., Wallace, S.J. Eikonal analysis of Coulomb distortion in quasi-elastic electron scattering. Indian J Phys 83, 693–711 (2009). https://doi.org/10.1007/s12648-009-0085-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-009-0085-0
Keywords
- Effective momentum approximation
- eikonal expansion
- quasi elastic electron scattering from the nucleus
- distorted wave matrix elements