Antihydrogen production and accuracy of the equivalent photon approximation
Abstract
The production of antihydrogen in flight in p¯-nucleus collisions is calculated theoretically in the plane wave Born approximation (which is equivalent to the straight line semiclassical approximation). Antihydrogen has been produced in this way at CERN LEAR and is presently studied at Fermilab at various p¯ energies. Dirac wave functions for the leptons are used, taking first order (Zα) corrections into account. Analytical results are obtained for differential cross sections. Total cross sections are obtained by numerical integration. The dependence on the transverse momentum transfer is studied and the accuracy of the equivalent photon approximation and a recent variant by Munger, Brodsky, and Schmidt is discussed as a function of beam energy.
- Publication:
-
Physical Review D
- Pub Date:
- August 1998
- DOI:
- 10.1103/PhysRevD.58.034005
- arXiv:
- arXiv:hep-ph/9711273
- Bibcode:
- 1998PhRvD..58c4005B
- Keywords:
-
- 25.43.+t;
- 32.10.-f;
- 41.20.Jb;
- Antiproton-induced reactions;
- Properties of atoms;
- Electromagnetic wave propagation;
- radiowave propagation;
- High Energy Physics - Phenomenology
- E-Print:
- 12 pages, 9 postscript figures, submitted to Phys. Rev. D