Antihydrogen production and accuracy of the equivalent photon approximation

C. A. Bertulani; G. Baur

doi:10.1103/PhysRevD.58.034005

Access by Xinjiang University

Antihydrogen production and accuracy of the equivalent photon approximation

C. A. Bertulani^*

G. Baur^†

Instituto de Física, Universidade Federal do Rio de Janeiro, 21945-970 Rio de Janeiro, RJ, Brazil

Forschungszentrum Jülich, Postfach 1913, D-52425 Jülich, Germany

^*Email address: bertu@if.ufrj.br
^†Email address: G.Baur@fz-juelich.de

PDF

Phys. Rev. D 58, 034005 – Published 30 June, 1998

DOI: https://doi.org/10.1103/PhysRevD.58.034005

Abstract

The production of antihydrogen in flight in $\bar{p}$ -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 $\bar{p}$ energies. Dirac wave functions for the leptons are used, taking first order $(Z α)$ 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.

References (14)

PS210 Collaboration, G. Baur et al., Phys. Lett. B 368, 251 (1996).
C. T. Munger, S. J. Brodsky, and I. Schmidt, Phys. Rev. D 49, 3228 (1994).
C. A. Bertulani and G. Baur, Phys. Today47, 22 (1994), and references therein.
C. A. Bertulani and G. Baur, Phys. Rep. 163, 299 (1988); Nucl. Phys. A505, 835 (1989).
A. Aste et al., Phys. Rev. A 50, 3980 (1994).
A. J. Baltz et al., Phys. Rev. A 48, 2002 (1993).
G. Baur, Phys. Lett. B 311, 343 (1993).
M. Mandelkern, letter of intent/experiment E862, Fermilab, available at URL http://fnphyx-www.fnal.gov/experiments/ e862/e862.html
V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Relativistic Quantum Field Theory, 2nd ed. (Pergamon, New York, 1979), pt. 1.
W. Heitler, The Quantum Theory of Radiation, 3rd. ed. (Oxford, New York, 1954).
Equation (33.16) of Ref. [9] has a wrong sign in the last term. The correct result, originally due to Sauter [12], is presented in the book of Heitler [10].
F. Sauter, Ann. Phys. (Leipzig) 9, 217 (1931); ibid.11, 454 (1931).
U. Becker, J. Phys. B 20, 6563 (1987).
H. Meier et al., hep-ph/9712461.

[c1] PS210 Collaboration, G. Baur et al., Phys. Lett. B 368, 251 (1996).

[c2] C. T. Munger, S. J. Brodsky, and I. Schmidt, Phys. Rev. D 49, 3228 (1994).

[c3] C. A. Bertulani and G. Baur, Phys. Today47, 22 (1994), and references therein.

[c4] C. A. Bertulani and G. Baur, Phys. Rep. 163, 299 (1988); Nucl. Phys. A505, 835 (1989).

[c5] A. Aste et al., Phys. Rev. A 50, 3980 (1994).

[c6] A. J. Baltz et al., Phys. Rev. A 48, 2002 (1993).

[c7] G. Baur, Phys. Lett. B 311, 343 (1993).

[c8] M. Mandelkern, letter of intent/experiment E862, Fermilab, available at URL http://fnphyx-www.fnal.gov/experiments/ e862/e862.html

[c9] V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Relativistic Quantum Field Theory, 2nd ed. (Pergamon, New York, 1979), pt. 1.

[c10] W. Heitler, The Quantum Theory of Radiation, 3rd. ed. (Oxford, New York, 1954).

[c11] Equation (33.16) of Ref. [9] has a wrong sign in the last term. The correct result, originally due to Sauter [12], is presented in the book of Heitler [10].

[c12] F. Sauter, Ann. Phys. (Leipzig) 9, 217 (1931); ibid.11, 454 (1931).

[c13] U. Becker, J. Phys. B 20, 6563 (1987).

[c14] H. Meier et al., hep-ph/9712461.

Physical Review D

Export citation

Export citation

Antihydrogen production and accuracy of the equivalent photon approximation

Abstract

References (14)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation