Differential rates for multiphoton pair production by an ultrarelativistic nucleus colliding with an intense laser beam

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 6, 2003, Pages 634071-634078

  Muller C ^a   Voitkiv, A B ^b   Grun N ^a  

^a JUSTUS LIEBIG UNIVERSITY   (Germany)

^b MAX PLANCK INSTITUT FÜR KERNPHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC FIELD EFFECTS; LASER BEAMS; PARTICLE ACCELERATORS; PHOTONS;

ENERGY THRESHOLD;

NUCLEAR PHYSICS;

EID: 0042477893     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (45)

1. F. Sauter, Z. Phys. 69, 742 (1931).
2. J. Schwinger, Phys. Rev. 82, 664 (1951).
3. E. Brezin and C. Itzykson, Phys. Rev. D 2, 1191 (1970).
4. W. Becker, Laser Part. Beams 9, 603 (1991).
5. A. Ringwald, Phys. Lett. B 510, 107 (2001).
6. V.S. Popov, Pis'ma Zh. Eksp. Teor. Fiz. 74, 151 (2001) [JETP Lett. 74, 133 (2001)].
7. V.S. Popov, Pis'ma Zh. Eksp. Teor. Fiz. 74, 151 (2001) [JETP Lett. 74, 133 (2001)].
8. R. Alkofer, M.B. Hecht, C.D. Roberts, S.M. Schmidt, and D.V. Vinnik, Phys. Rev. Lett. 87, 193902 (2001).
9. C. Müller, A.B. Voitkiv, and N. Grün, Proceedings of the 11th International Conference on the Physics of Highly Charged Ions, Caen, France, 2002 [Nucl. Instrum Methods Phys. Res. B 205, 306 (2003)].
10. C. Müller, A.B. Voitkiv, and N. Grün, Proceedings of the 11th International Conference on the Physics of Highly Charged Ions, Caen, France, 2002 [Nucl. Instrum Methods Phys. Res. B 205, 306 (2003)].
11. I.M. Dremin, Pis'ma Zh. Eksp. Teor. Fiz. 76, 185 (2002) [JETP Lett. 76, 151 (2002)].
12. I.M. Dremin, Pis'ma Zh. Eksp. Teor. Fiz. 76, 185 (2002) [JETP Lett. 76, 151 (2002)].
13. H.A. Bethe and W. Heitler, Proc. R. Soc. London, Ser. A 146, 83 (1934).
14. W. Heitler, The Quantum Theory of Radiation (Clarendon Press, Oxford, 1954).
15. V.P. Yakovlev, Zh. Eksp. Teor. Fiz. 49, 318 (1965) [Sov. Phys. JETP 22, 223 (1966)].
16. V.P. Yakovlev, Zh. Eksp. Teor. Fiz. 49, 318 (1965) [Sov. Phys. JETP 22, 223 (1966)].
17. M.H. Mittleman, Phys. Rev. A 35, 4624 (1987).
18. C. Bamber et al., Phys. Rev. D 60, 092004 (1999).
19. V.B. Berestetskii, E.M. Lifshitz, and L.P. Pitaevskii, Relativistiv Quantum Theory (Pergamon Press, Oxford, 1971).
20. J.M. Jauch and F. Rohrlich, The Theory of Photons and Electrons (Springer, New York, 1976).
21. 40Ca, for instance) this maximum value is γ=3500.
22. T. Brabec and F. Krausz, Rev. Mod. Phys. 72, 545 (2000).
23. J. Bergou and S. Varro, J. Phys. A 14, 2281 (1981).
24. M.H. Mittleman, Introduction to the Theory of Laser-Atom Interactions (Plenum Press, New York, 1982).
25. D.M. Volkov, Z. Phys. 94, 250 (1935).
26. H.R. Reiss, J. Math. Phys. 3, 59 (1962).
27. A.I. Nikishov and V.I. Ritus, Zh. Eksp. Teor. Fiz. 46, 776 (1964) [Sov. Phys. JETP 19, 529 (1964)].
28. A.I. Nikishov and V.I. Ritus, Zh. Eksp. Teor. Fiz. 46, 776 (1964) [Sov. Phys. JETP 19, 529 (1964)].
29. N.B. Narozhnyi, A.I. Nikishov, and V.I. Ritus, Zh. Eksp. Teor. Fiz. 47, 930 (1964) [Sov. Phys. JETP 20, 622 (1965)].
30. N.B. Narozhnyi, A.I. Nikishov, and V.I. Ritus, Zh. Eksp. Teor. Fiz. 47, 930 (1964) [Sov. Phys. JETP 20, 622 (1965)].
31. L.S. Brown and T.W.B. Kibble, Phys. Rev. 133, A705 (1964).
32. J. Bergou and S. Varro, J. Phys. A 13, 2823 (1980).
33. J.D. Bjorken and S.D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964).
34. J.H. Eberly, Prog. Opt. 7, 361 (1969).
35. H.R. Reiss, Prog. Quantum Electron. 16, 1 (1992).
36. Handbook of Mathematical Functions, edited by M. Abramowitz and I.A. Stegun (Dover, New York, 1965).
37. L, of course.
38. C. Itzykson and J.B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).
39. H.A. Bethe and L.C. Maximon, Phys. Rev. 93, 768 (1954).
40. J. Eichler and W.E. Meyerhof, Relativistic Atomic Collisions (Academic Press, San Diego, 1995).
41. G. Deco and N. Grün, Phys. Lett. A 143, 387 (1990).
42. The final-state Coulomb interactions are of minor importance, since according to Eqs. (21) and (24), not only the lepton nucleus but also the electron-positron relative motion is ultrarelativistic.
43. 2.
44. K. Dietz and M. Pröbsting, J. Phys. B 31, L409 (1998).
45. In Ref. [38], the electromagnetic field of the laser was treated in the dipole approximation. However, since pair production is a highly relativistic process, it is not quite clear how strongly the use of this approximation could influence the final result.